%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % % This file was generated automatically from gesamt.bib % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @article{pottmann-1988-eka1, author = {Pottmann, Helmut and Rath, W.}, title = {Eine affine kinematische {A}bbildung. {II}}, journal = {Rad Jugoslav. Akad. Znan. Umjet.}, volume = {435}, year = {1988}, pages = {123--138}, mrclass = {51N10 (53A17)}, mrnumber = {91e:51015}, zblnumber = {0674.53008}, } @article{pottmann-1989-eka, author = {Pottmann, Helmut and Rath, W.}, title = {Ebene konvexe {A}ffinzwangl{\"a}ufe}, journal = {\v Casopis P\v est. Mat.}, volume = {114}, year = {1989}, number = {3}, pages = {279--288}, issn = {0528-2195}, mrclass = {53A17}, mrnumber = {91a:53020}, zblnumber = {0682.53011}, } @article{pottmann-1989-fvbg, author = {Pottmann, Helmut and Rath, W.}, title = {Die {F}l{\"a}chenvektoren der {B}ahnkurven geschlossener r{\"a}umlicher {Z}wangl{\"a}ufe}, journal = "Beitr. Algebra Geom.", volume = {29}, year = {1989}, pages = {143--160}, issn = {0138-4821}, mrclass = {53A17}, mrnumber = {91a:53019}, zblnumber = {0725.53017}, } @article{pottmann-1993-gts, author = "Pottmann, H.", title = "The geometry of {T}chebycheffian splines", journal = "Comp. Aided Geom. Design", volume = 10, year = 1993, pages = "181-210", } @article{pottmann-1995-cdrp, author = {H. Pottmann}, title = {Curve design with rational {P}ythagorean-hodograph curves}, journal = "Adv. Comput. Math.", volume = {3}, year = {1995}, pages = {147--170}, } @article{pottmann-1995-rcs, author = {H. Pottmann}, title = {Rational curves and surfaces with rational offsets}, journal = "Comput. Aided Geom. Design", volume = {12}, year = {1995}, pages = {175--192}, } @article{pottmann-1995-drbs, author = {H. Pottmann and G. Farin}, title = {Developable rational {B}{\'e}zier and {B}-spline surfaces}, journal = "Comput. Aided Geom. Design", volume = {12}, year = {1995}, pages = {513--531}, } @article{kolb-1995-fsr, author = {A. Kolb and H. Pottmann and H.-P. Seidel}, title = {Fair surface reconstruction using quadratic functionals}, journal = "Computer Graphics Forum", volume = {14}, year = {1995}, pages = {469--479}, } @incollection{hoschek-1995-iadbs, author = {J. Hoschek and H. Pottmann}, title = {Interpolation and approximation with developable {B}-spline surfaces}, booktitle = {Mathematical Methods for Curves and Surfaces}, editor = {M. D{\ae }hlen and T. Lyche and L. L. Schumaker}, pages = {255--264}, publisher = {Vanderbilt University Press}, address = {Nashville, TN}, year = {1995}, } @incollection{kolb-1995-srmnn, author = {A. Kolb and H. Pottmann and H. P. Seidel}, title = {Surface reconstruction based upon minimum norm networks}, booktitle = {Mathematical Methods for Curves and Surfaces}, editor = {M. Daehlen and T. Lyche and L. L. Schumaker}, pages = {293--304}, publisher = {Vanderbilt University Press}, address = {Nashville, TN}, year = {1995}, } @incollection{pottmann-1995-snc, author = {H. Pottmann}, title = {Studying {NURBS} curves and surfaces with classical geometry}, booktitle = {Mathematical Methods for Curves and Surfaces}, editor = {M. D\ae hlen and T. Lyche and L. L. Schumaker}, pages = {413--438}, publisher = {Vanderbilt University Press}, address = {Nashville, TN}, year = {1995}, } @incollection{wagner-1995-gmd, author = {M. Wagner and H. Pottmann}, title = {Geometric motion design}, booktitle = {Modelling and Planning for Sensor based Intelligent Robot Systems}, series = {Series in Machine Perception and Artificial Intelligence}, editor = {H. Bunke and T. Kanade and H. Noltemeier}, volume = {21}, pages = {104--119}, publisher = {World Scientific}, year = {1995}, } @incollection{mazure-1995-cc, author = {M. L. Mazure and H. Pottmann}, title = {{T}chebycheff Curves}, booktitle = {Total Positivity and Its Applications}, editor = {M. Gasca and C. A. Micchelli}, pages = {187--218}, publisher = {Kluwer Academic Publishers}, address = {Dordrecht}, year = {1995}, } @incollection{farouki-1996-prphc, author = {R. T. Farouki and H. Pottmann}, title = {Polynomial and rational {P}ythagorean-hodograph curves reconciled}, booktitle = {The Mathematics of Surfaces VI}, editor = {G. Mullineux}, pages = {355--378}, publisher = {Oxford University Press}, year = {1996}, } @article{pfeifer-1996-smtm, author = {N. Pfeifer and H. Pottmann}, title = {Surface models on the basis of a triangular mesh -- surface reconstruction}, journal = "ISPRS Archives", pages = {638--643}, year = {1996}, volume = {XXXI}, publisher = "Geomatics Information {\&} Trading Center bv", number = "3B", } @article{lu-1996-ps, author = {W. L{\"u} and H. Pottmann}, title = {Pipe surfaces with rational spine curve are rational}, journal = "Comput. Aided Geom. Design", volume = {13}, year = {1996}, pages = {621--628}, } @article{pottmann-1996-rrs, author = {H. Pottmann and W. L{\"u} and B. Ravani}, title = {Rational ruled surfaces and their offsets}, journal = "Graph. Models Img. Processing", volume = {58}, year = {1996}, pages = {544--552}, } @incollection{peternell-1996-drs, author = {M. Peternell and H. Pottmann}, title = {Designing rational surfaces with rational offsets}, booktitle = {Advanced Topics in Multivariate Approximation}, editor = {F. Fontanella and K. Jetter and P. J. Laurent}, pages = {275--286}, publisher = {World Scientific}, year = {1996}, } @article{pottmann-1997-ipsc, author = {H. Pottmann and P. Paukowitsch}, title = {Inflections of planar surface curves}, journal = "Comput. Aided Geom. Design", volume = {14}, year = {1997}, pages = {293--297}, issn = {0167-8396}, mrclass = {65D17 (41A63)}, mrnumber = {97k:65050}, zblnumber = {0906.68159}, } @article{peternell-1997-crp, author = {M. Peternell and H. Pottmann}, title = {Computing rational parametrizations of canal surfaces}, journal = "J. Symbolic Comput.", volume = {23}, year = {1997}, pages = {255--266}, url="/peternell/canalsurf.pdf", } @article{pottmann-1997-gos, author = {H. Pottmann}, title = {General offset surfaces}, journal = "Neural, Parallel {\&} Scient. Comput.", volume = {5}, year = {1997}, pages = {55--80}, } @incollection{wallner-1997-so, author = {J. Wallner and H. Pottmann}, title = {Spline orbifolds}, booktitle = {{C}urves and {S}urfaces with {A}pplications in {CAGD}}, editor = {Le M{\'e}haut{\'e}, A. and C. Rabut and L. L. Schumaker}, pages = {445-464}, publisher = {Vanderbilt University Press}, year = {1997}, url="/geom/ig/papers/pot077.pdf", mrclass = {65Y25 (57M50 65D17)}, mrnumber = {99j:65263}, zblnumber = {0938.65042}, } @article{wallner-1997-rb, author = {J. Wallner and H. Pottmann}, title = {Rational blending surfaces between quadrics}, journal = "Comput. Aided Geom. Design", volume = {14}, year = {1997}, pages = {407--419}, url="/geom/ig/papers/pot078.pdf", issn = {0167-8396}, mrclass = {65D17 (41A63)}, mrnumber = {1456012}, doi="10.1016/S0167-8396(96)00037-4", } @incollection{wagner-1997-ps, author = {H. Pottmann and M. Wagner}, title = {Principal surfaces}, booktitle = {The Mathematics of Surfaces VII}, editor = {T. Goodman and R. Martin}, pages = {337--362}, publisher = {Information Geometers Ltd.}, year = {1997}, } @article{pottmann-1998-alcagd, author = {H. Pottmann and M. Peternell}, title = {Applications of {L}aguerre geometry in {CAGD}}, journal = "Comput. Aided Geom. Design", volume = {15}, year = {1998}, pages = {165--186}, url="/peternell/laggeo1.pdf", mrnumber="99c:65037", } @article{peternell-1998-lgaro, author = {M. Peternell and H. Pottmann}, title = {A {L}aguerre geometric approach to rational offsets}, journal = "Comput. Aided Geom. Design", volume = {15}, year = {1998}, pages = {223--249}, url="/peternell/laggeo2.pdf", } @incollection{pottmann-1998-cclg, author = {H. Pottmann and M. Peternell and B. Ravani}, title = {Contributions to computational line geometry}, booktitle = {Differential/Topological Techniques in Geometric Modeling and Processing '98}, editor = "D. P. Chi and H. I. Choi and M.-S. Kim and R. Martin", pages = {43--81}, year = {1998}, isbn = "89-86518-10-0", publisher = "Bookplus Press", note = "Proceedings of the Workshop in Pohang, Korea, April 7-8,1998", } @inproceedings{pottmann-1998-rkssd, author = {H. Pottmann and I.-K. Lee and T. Randrup}, title = {Reconstruction of kinematic surfaces from scattered data}, booktitle = {Proceedings Symposium on Geodesy for Geotechnical and Structural Engineering}, editor = "H. Kahmen and E. Br{\"u}ckl and Th. Wunderlich", organization = "Int. Assoc. of Geodesy", pages = {483--488}, year = {1998}, note = {held in Eisenstadt, Austria, April 20-22, 1998} } @article{neamtu-1998-dncp, author = {M. Neamtu and H. Pottmann and L. L. Schumaker}, title = {{D}esigning {NURBS} cam profiles using trigonometric splines}, journal = "ASME J. Mech. Design", volume = {120}, year = {1998}, pages = {175--180}, } @article{leopoldseder-1998-ads, author = {S. Leopoldseder and H. Pottmann}, title = {Approximation of developable surfaces with cone spline surfaces}, journal = "Computer-Aided Design", volume = {30}, year = {1998}, pages = {571--582}, url="/geom/ig/papers/pot085.pdf", } @incollection{pottmann-1998-als, author = {H. Pottmann and M. Peternell and B. Ravani}, title = {Approximation in line space: applications in robot kinematics and surface reconstruction}, booktitle = {Advances in Robot Kinematics: Analysis and Control}, editor = {J. Lenar{\v{c}}i{\v{c}} and M. Husty}, pages = {403--412}, publisher = {Kluwer}, year = {1998}, url="/geom/ig/papers/pot086.pdf", } @article{pottmann-1998-rhsa, author = {H. Pottmann and T. Randrup}, title = {Rotational and helical surface approximation for reverse engineering}, journal = {Computing}, volume = {60}, year = {1998}, pages = {307--322}, } @article{wallner-1998-glg, author = {J. Wallner and H.-Y. Chen and H. Pottmann}, title = {{G}alilei {L}aguerre geometry and rational circular offsets}, journal = "Beitr. Algebra Geom.", volume = {39}, year = {1998}, pages = {291-305}, url="http://www.geometrie.tugraz.at/wallner/gallag.ps.gz", issn = {0138-4821}, mrclass = {53A40 (51N25)}, mrnumber = {99g:53016}, zblnumber = {0917.51003}, } @incollection{pottmann-1998-aps, author = {H. Pottmann and H.-Y. Chen and I. K. Lee}, title = {Approximation by profile surfaces}, booktitle = {The Mathematics of Surfaces VIII}, editor = {R. Cripps}, pages = {17--36}, publisher = {Information Geometers}, address = {Wellesley MA}, year = {1998}, } @article{pottmann-1998-cmbsd, author = {H. Pottmann and M. Wagner}, title = {Contributions to motion based surface design}, journal = "Int. J. Shape Modeling", volume = {4}, year = {1998}, pages = {183--196}, } @article{neamtu-1998-dfs, author = {M. Neamtu and H. Pottmann and L. L. Schumaker}, title = {Dual focal splines and rational curves with rational offsets}, journal = {Mathematical Engineering in Industry}, volume = {7}, year = {1998}, pages = {139--154}, } @article{chen-1999-ars, author = {H.-Y. Chen and H. Pottmann}, title = {Approximation by ruled surfaces}, journal = "J. Comput. Appl. Math.", volume = {102}, year = {1999}, pages = {143--156}, url="/geom/ig/papers/pot092.ps.gz", } @article{pottmann-1999-ilg, author = {H. Pottmann and M. Peternell and B. Ravani}, title = {An introduction to line geometry with applications}, journal = "Computer-Aided Design", volume = {31}, year = {1999}, pages = {3--16}, url="/peternell/linegeo_cad.pdf", } @article{peternell-1999-cgrs, author = {M. Peternell and H. Pottmann and B. Ravani}, title = {On the Computational Geometry of Ruled Surfaces}, journal = "Computer-Aided Design", volume = {31}, year = {1999}, pages = {17--32}, url="/peternell/linegeo_cad2.pdf", } @article{glaeser-1999-cf3am, author = {G. Glaeser and J. Wallner and H. Pottmann}, title = {Collision-free 3-axis milling and selection of cutting tools}, journal = "Computer-Aided Design", volume = {31}, year = {1999}, pages = {225-232}, url="http://www.geometrie.tugraz.at/wallner/optfraes.ps.gz", zblnumber = {01966666}, } @article{chen-1999-sads, author = {H.-Y. Chen and I.-K. Lee and S. Leopoldseder and H. Pottmann and T. Randrup and J. Wallner}, title = {On surface approximation using developable surfaces}, journal = "Graph. Models Img. Processing", volume = {61}, year = {1999}, pages = {110--124}, url="/geom/ig/papers/pot096.pdf", zblnumber = {0978.68576}, } @article{pottmann-1999-gcgm, author = {H. Pottmann and J. Wallner and G. Glaeser and B. Ravani}, title = {Geometric criteria for gouge-free three-axis milling of sculptured surfaces}, journal = "ASME J. Mech. Design", volume = {121}, year = {1999}, pages = {241-248}, url="http://www.geometrie.tugraz.at/wallner/tr-asme.ps.gz", } @incollection{wallner-1999-gc3m, author = {J. Wallner and G. Glaeser and H. Pottmann}, title = {Geometric contributions to 3-axis milling of sculptured surfaces}, booktitle = {Machining Impossible Shapes}, editor = {G. J. Olling and B. K. Choi and R. B. Jerard}, publisher = {Kluwer Academic Publ.}, address = {Boston}, year = {1999}, pages = {33-41}, url="http://www.geometrie.tugraz.at/wallner/impossible.pdf", } @article{pottmann-1999-aads, author = {H. Pottmann and J. Wallner}, title = {Approximation algorithms for developable surfaces}, journal = "Comput. Aided Geom. Design", volume = {16}, year = {1999}, pages = {539-556}, url="/geom/ig/papers/pot099.pdf", issn = {0167-8396}, mrclass = {65D17}, mrnumber = {2000d:65027}, zblnumber = {0997.65032}, doi="10.1016/S0167-8396(99)00012-6", } @incollection{pottmann-1999-vdfc, author = {H. Pottmann}, title = {A geometric approach to variation diminishing freeform curve schemes}, booktitle = {Shape preserving representations in Computer-Aided Design}, editor = {J. M. Pe{\~n}a }, publisher = {Nova Science Publishers}, address = {New York}, year = {1999}, pages = {119-131}, } @incollection{lee-1999-sda, author = {I.-K. Lee and J. Wallner and H. Pottmann}, title = {Scattered data approximation with kinematic surfaces}, booktitle = {Proceedings of the Sampling Theory and Applications '99 conference in Loen, Norway}, publisher = "Norges teknisk-naturvitenskapelige universitet, Institutt for matematiske fag", address = "Trondheim", pages = {72-77}, year = {1999}, isbn = "0-8265-1356-5", url="http://www.geometrie.tugraz.at/wallner/sampta.ps.gz", } @article{pottmann-2000-scm, author = {H. Pottmann and B. Ravani}, title = {Singularities of motions constrained by contacting surfaces}, journal = "Mech. Mach. Theory", volume = {35}, year = {2000}, pages = {963--984}, } @article{pottmann-2000-pla, author = {H. Pottmann and R. Krasauskas and B. Hamann and K. Joy and W. Seibold}, title = {On piecewise linear approximation of quadratic functions}, journal = "J. Geom. Graphics", volume = {4}, year = {2000}, pages = {31-53}, url="/geom/ig/papers/pot103.pdf", } @incollection{peternell-2000-ifl, author = { M. Peternell and H. Pottmann}, title = {Interpolating functions on lines in 3-space}, booktitle = {Curve and Surface Fitting: Saint Malo 1999}, editor = {A. Cohen and C. Rabut and L. L. Schumaker}, publisher = {Vanderbilt University Press}, address = {Nashville, TN}, year = {2000}, pages = {351--358}, url="/peternell/stmalo99.pdf", url2="/geom/ig/papers/pot104.pdf", } @incollection{wallner-2000-gssm, author = {J. Wallner and H. Pottmann}, title = {On the geometry of sculptured surface machining}, booktitle = {Curve and Surface Design: Saint Malo 1999}, editor = {P.-J. Laurent and P. Sablonni{\`e}re and L. L. Schumaker}, publisher = {Vanderbilt University Press}, address = {Nashville}, year = {2000}, pages = {417-432}, isbn = "0-8265-1356-5", url="/geom/ig/papers/pot105.zip", url2="http://www.geometrie.tugraz.at/wallner/stmalo.ps.gz", } @article{wallner-2000-epgc, author = {J. Wallner and R. Krasauskas and H. Pottmann}, title = {Error propagation in geometric constructions}, journal = "Computer-Aided Design", volume = {32}, year = {2000}, pages = {631-641}, url="/geom/ig/papers/pot106.pdf", url2="http://www.geometrie.tugraz.at/wallner/knoedel.ps.gz", } @incollection{pottmann-2000-ot, author = {H. Pottmann and B. Odehnal and M. Peternell and J. Wallner and Ait Haddou, R.}, title = "On optimal tolerancing in {C}omputer-{A}ided {D}esign", booktitle = "Geometric Modeling and Processing 2000", editor = "R. Martin and W. Wang", publisher = "IEEE Computer Society", address = "Los Alamitos, Calif.", year = 2000, pages = "347-363", isbn = "0-7695-0562-7", url="http://www.geometrie.tugraz.at/wallner/tolnew.pdf", url2="/peternell/tolerance_cad.pdf", url2="/geom/ig/papers/pot107.pdf", } @incollection{pottmann-2000-asgo, author = {H. Pottmann and M. Peternell}, title = {On approximation in spaces of geometric objects}, booktitle = {The Mathematics of Surfaces IX}, editor = {R. Cipolla and R. Martin}, publisher = {Springer}, year = {2000}, pages = {438--458}, isbn = "1852333588", url="/peternell/mathsurf2000.pdf", url2="/geom/ig/papers/pot108.pdf", } @incollection{pottmann-2000-e, author = {H. Pottmann and M. Peternell}, title = {Envelopes -- Computational Theory and Applications}, booktitle = {Spring Conference on Computer Graphics 2000}, editor = {B. Falcidieno}, pages = {3-23}, publisher = "Comenius University", address = "Bratislava", year = 2000, isbn = "80-223-1486-2", note = {{P}roceedings of the conference in Budmerice, May 3-6, 2000}, url="/geom/ig/papers/pot109.pdf", url2="/peternell/envelopes.pdf", } @article{bertram-2000-pot, author = {M. Bertram and J. C. Barnes and B. Hamann and K. I. Joy and H. Pottmann and D. Wushour}, title = {Piecewise optimal triangulation of scattered data in the plane}, journal = "Comput. Aided Geom. Design", volume = {17}, year = {2000}, pages = {767--787}, } @book{pottmann-2001-clg, author = {H. Pottmann and J. Wallner}, title = {Computational Line Geometry}, publisher = {Springer}, address = {Heidelberg}, isbn = "3-540-42058-4", year = {2001}, url = "http://www.geometrie.tugraz.at/wallner/clgbook", series = {Mathematics + Visualization}, pages = {x+563}, mrclass = {53-02 (51M30 52B55 53A17 53A25 65D18 68U05)}, mrnumber = {2002f:53001}, zblnumber = {1006.51015}, } @inproceedings{odehnal-2001-cdm, author = {B. Odehnal and H. Pottmann }, title = {Computing with discrete models of ruled surfaces and line congruences}, booktitle = {Computational Kinematics}, pages = {211--226}, year = {2001}, editor = "F. C. Park and C. C. Iurascu", note = "{P}roceedings of the workshop in Seoul, May 19-22, 2001", url = "http://www-sop.inria.fr/coprin/EJCK/Vol1-1/20_pottmann.pdf", } @incollection{pottmann-2001-kmc, author = {H. Pottmann and J. Wallner and S. Leopoldseder}, title = {Kinematical methods for the classification, reconstruction and inspection of surfaces}, booktitle = "SMAI 2001: Congr{\`e}s national de math{\'e}matiques appliqu{\'e}es et industrielles", series = "Publications de l'{\'E}quipe de Math{\'e}matiques Appliqu{\'e}es (Num{\'e}ro special)" , publisher = "Universit{\'e} de Technologie de Compi{\`e}gne", year = {2001}, pages = {51-60}, url="http://www.geometrie.tugraz.at/wallner/smai01.ps.gz", } @article{wallner-2001-siocs, author = {J. Wallner and T. Sakkalis and T. Maekawa and H. Pottmann and G. Yu}, title = {Self-intersections of offset curves and surfaces}, journal = "Int. J. Shape Modeling", volume = {7}, year = {2001}, pages = {1-21}, url="http://www.geometrie.tugraz.at/wallner/soff.ps.gz", } @article{farouki-2002-emp, author = {R. T. Farouki and H. Pottmann}, title = {Exact {M}inkowski products of $N$ complex disks}, journal = "Reliab. Comput.", volume = {8}, year = {2002}, pages = {43-66}, url="/geom/ig/papers/pot114.pdf", } @article{smith-2002-osffs, author = {T. Smith and R. T. Farouki and M. al-Kandari and H. Pottmann}, title = {Optimal slicing of free-form surfaces}, journal = "Comput. Aided Geom. Design", volume = {19}, year = {2002}, pages = {43-64}, url="/geom/ig/papers/pot116.pdf", } @incollection{pottmann-2002-gfcad, author = {H. Pottmann and S. Leopoldseder}, title = {Geometries for {CAGD}}, booktitle = {Handbook of 3{D} Modeling}, editor = {G. Farin and J. Hoschek and M.-S. Kim }, publisher = {Elsevier}, year = {2002}, pages = {43-73}, url="/geom/ig/papers/geom4cagd.pdf", mrnumber="1928536", } @incollection{hoenigmann-2002-fmbs, author = {D. H{\"o}nigmann and J. Ruisz and H. Pottmann}, title = {Fast model based segmentation of ultrasound data using an active image}, booktitle = "Biomedical Imaging, 2002 IEEE International Symposium on", pages = {225--228}, year = {2002}, publisher = "IEEE Press", isbn = "0-7803-7584-X", url="/geom/ig/papers/ultraseg2002.pdf", note = {{P}roceedings of the symposion July 7--10, 2002, Washington DC}, } @incollection{hofer-2002-samd, author = {M. Hofer and H. Pottmann and B. Ravani}, title = {Subdivision algorithms for motion design based on homologous points}, booktitle = {Advances in Robot Kinematics}, editor = {J. Lenar\v{c}i\v{c} and F. Thomas }, publisher = {Kluwer Academic Publ.}, year = {2002}, pages = {235--244}, url="/geom/ig/papers/pot120.pdf", } @article{pottmann-2002-sr, author = {H. Pottmann and S. Leopoldseder and M. Hofer}, title = {Simultaneous registration of multiple views of a 3{D} object}, journal = "ISPRS Archives", volume = {34}, number= "3A", pages = {265--270}, publisher = "Geomatics Information {\&} Trading Center bv", year = {2002}, url="/geom/ig/papers/pcv02.pdf", } @article{pottmann-2002-rrss, author = {H. Pottmann and S. Leopoldseder and J. Wallner and M. Peternell}, title = {Recognition and reconstruction of special surfaces from point clouds}, journal = "ISPRS Archives", volume = {34}, number = "3A", pages = {271-276}, year = {2002}, publisher = "Geomatics Information {\&} Trading Center bv", url="/geom/ig/papers/pcv02b.pdf", url2="/peternell/cv2002.pdf", } @article{peternell-2002-asp, author = {M. Peternell and H. Pottmann}, title = {Approximation in the space of planes: applications to geometric modeling and reverse engineering}, journal = {RACSAM Rev. R. Acad. Cienc. Exactas F\'\i s. Nat. Ser. A Mat.}, volume = {96}, number = {2}, year = {2002}, pages = {243-256}, url="/peternell/racsam.pdf", url2="/geom/ig/papers/pot123.pdf", mrnumber="2004h:65019", } @inproceedings{pottmann-2002-aabc, author = {H. Pottmann and S. Leopoldseder and M. Hofer}, title = {Approximation with active {B}-spline curves and surfaces}, booktitle = "10th Pacific Conference on Computer Graphics and Applications", editor = "S. Coquillart and S.-M. Hu and H.-Y. Shum", publisher = {IEEE Press}, pages = {8-25}, year = {2002}, isbn = "0-7695-1784-6", url="/geom/ig/papers/pg02.pdf", note = "{P}roceedings of the conference held at Tsinghua University, Beijing, October 9-11, 2002", } @article{odehnal-2002-cdm, author = {B. Odehnal and H. Pottmann }, title = {Computing with discrete models of ruled surfaces and line congruences}, journal = {Electron. J. Comput. Kinematics}, volume = 1, number = 1, pages = "\S 20", year = {2002}, note = "{P}roceedings of the workshop `Computational Kinematics' in Seoul, May 19-22, 2001", url = "http://www-sop.inria.fr/coprin/EJCK/Vol1-1/20_pottmann.pdf", } @inproceedings{eberharter-2003-sp, author = {Eberharter, J. K. and Pottmann, H. and Ravani, B.}, title = {Stereographic projection of {S}tudy's quadric}, booktitle = {Dresden Symposium Geometry---Proceedings}, pages = {82--89}, publisher = {Tech. Univ. Dresden}, address= {Dresden}, year= {2003}, mrclass = {51N05}, mrnumber = {2004m:51045}, } @article{yoon-2003-locp, author = {J.-H. Yoon and H. Pottmann and Y.-S. Lee}, title = {Locally optimal cutting positions for five-axis sculptured surface machining}, journal = "Computer-Aided Design", volume = {35}, year = {2003}, pages = {69--81}, } @inproceedings{pottmann-2003-gsdf, author = {H. Pottmann and M. Hofer}, title = {Geometry of the squared distance function to curves and surfaces}, booktitle = {Visualization and Mathematics III}, editor = {H.-C. Hege and K. Polthier}, publisher = {Springer}, year = {2003}, pages = {223--244}, url="/geom/ig/papers/pot121.pdf", mrnumber="2005a:53004", } @article{pottmann-2003-cps, author = {H. Pottmann and S. Leopoldseder}, title = {A concept for parametric surface fitting which avoids the parametrization problem}, journal = "Comput. Aided Geom. Design", volume = {20}, year = {2003}, pages = {343--362}, url="/geom/ig/papers/pot129.pdf", mrnumber="2004h:65019", } @incollection{ruisz-2003-smr, author = {J. Ruisz and D. H{\"o}nigmann and H. Pottmann}, title = {Segmentation and modeling of approximately rotationally symmetric objects in 3{D} ultrasound}, booktitle = "3-D Digital Imaging and Modeling (3DIM 2003), 4th International Conference on ", year = {2003}, pages = {124--131}, publisher = "IEEE Press", isbn = "0-7695-1991-1", url="/geom/ig/papers/ultramod2001.pdf", note = {Proceedings of the conference in Banff, Canada, Oct. 6-10, 2003}, } @article{muehlthaler-2003-cms, author = {H. M{\"u}hlthaler and H. Pottmann}, title = {Computing the {M}inkowski sum of ruled surfaces}, journal = "Graphical Models", volume = {65}, year = {2003}, pages = {369--384}, } @article{hofer-2003-gdm, author = {M. Hofer and H. Pottmann and B. Ravani}, title = {Geometric design of motions constrained by a contacting surface pair}, journal = "Comput. Aided Geom. Design", volume = {20}, year = {2003}, pages = {523--547}, url="/geom/ig/papers/gmd.pdf", mrnumber="2004m:65027", } @article{hofer-2003-olp, author = {M. Hofer and H. Pottmann}, title = {{O}rientierung von {L}aserscanner-{P}unktwolken}, year = {2003}, volume = 91, pages = "297--306", journal = "Vermessung {\&} Geoinformation", url="/geom/ig/papers/tr113.pdf", } @article{wallner-2004-vi, author = {J. Wallner and H. Pottmann}, title = {Variational interpolation of subsets}, journal = "Constr. Approx.", year = 2004, pages = "233-248", volume = 20, url="http://www.geometrie.tugraz.at/wallner/var1.pdf", issn = {0176-4276}, mrclass = {41A29 (53A04 65D17)}, mrnumber = {2005a:41012}, zblnumber={1067.41010}, doi="10.1007/s00365-003-0554-1" } @incollection{pottmann-2004-lg3d, author = {H. Pottmann and M. Hofer and B. Odehnal and J. Wallner}, title = {Line geometry for 3{D} shape understanding and reconstruction}, year = {2004}, editor = "T. Pajdla and J. Matas", booktitle = "Computer Vision --- ECCV 2004, Part I", series = "Lecture Notes in Computer Science", publisher = "Springer", volume = 3021, pages = "297--309", isbn="3-540-21984-6", url="http://www.geometrie.tugraz.at/wallner/eccv.pdf", zblnumber={1098.68842}, doi="10.1007/b97865", } @incollection{pottmann-2004-im, author = {H. Pottmann and T. Steiner and M. Hofer and C. Haider and A. Hanbury}, title = {The isophotic metric and its application to feature sensitive morphology on surfaces}, year = {2004}, editor = "T. Pajdla and J. Matas", booktitle = "Computer Vision --- ECCV 2004, Part IV", series = "Lecture Notes in Computer Science", publisher = "Springer", volume = 3024, pages = "560--572", url="/geom/ig/papers/isomet04.pdf", } @article{pottmann-2004-rwicp, author = {H. Pottmann and S. Leopoldseder and M. Hofer}, title = {Registration without {ICP}}, journal = "Computer Vision and Image Understanding", volume = 95, number = 1, pages = "54--71", year = {2004}, url="/geom/ig/papers/tr91.pdf", } @proceedings{pottmann-2004-gmp, editor = "Pottmann, H. and Hu, S.-M.", title = "{2004 Geometric Modeling and Processing, Theory and Applications}", year = 2004, publisher = "IEEE Computer Society", isbn = "0-7695-2078-2", note = "{P}roceedings of the GMP conference in Beijing, April 13-15, 2004.", } @incollection{pottmann-2004-vmd, author = {H. Pottmann and M. Hofer and B. Ravani}, title = {Variational motion design}, booktitle = {On Advances in Robot Kinematics}, editor = {J. Lenar\v{c}i\v{c} and C. Galletti}, publisher = {Kluwer}, year = {2004}, pages = {361--370}, notexx = "Proceedings ARK'04 conference (Sestri Levante)", url = "/geom/ig/papers/ark04.pdf", } @article{hofer-2004-cdbd, author = {M. Hofer and H. Pottmann and B. Ravani}, title = {From curve design algorithms to the design of rigid body motions}, journal = {The Visual Computer}, volume = {20}, number = {5}, year = {2004}, pages = {279--297}, url="/geom/ig/papers/smd_vc.pdf", } @inproceedings{pottmann-2004-rpcdgo, author = "N. J. Mitra and N. Gelfand and H. Pottmann and L. Guibas", title = "Registration of Point Cloud Data from a Geometric Optimization Perspective", booktitle = "Eurographics Symposium on Geometry Processing", year = "2004", editor = "R. Scopigno and D. Zorin", pages = "23--32", url="/geom/ig/papers/mgpg-rpcdgop-04.pdf", doi="10.1145/1057432.1057435", } @article{hofer-2004-emsm, author = "M. Hofer and H. Pottmann", title = "Energy-minimizing splines in manifolds", xxjournal = ACMSIGGRAPH, journal = "ACM Transactions on Graphics (Proceedings of ACM SIGGRAPH 2004)", publisher = "ACM Press / ACM SIGGRAPH", volume = {23}, number = {3}, pages = {284--293}, year = 2004, xxorganization = "ACM", url = "/geom/ig/papers/sig04.pdf", } @article{pottmann-2004-igraacad, author = "H. Pottmann and S. Leopoldseder and M. Hofer and T. Steiner and W. Wang", title = "{I}ndustrial {G}eometry: Recent Advances and Applications in {CAD}", journal = "Computer-Aided Design Appl.", issn = "1686-4360", year = "2004", volume = 1, pages = "513-522", url = "/geom/ig/papers/cad04.pdf", } @incollection{wallner-2005-sv, author = "Johannes Wallner and Qin-Min Yang", title = "Swept volumes of many poses", booktitle = {{SGP} 2005: Third Eurographics Symposium on Geometry processing}, publisher = {Eurographics Association}, isbn = "3-905673-24-X", pages = "161-170", editor = "Matthieu Desbrun and Helmut Pottmann", url = "http://www.geometrie.tugraz.at/wallner/tmotion.pdf", year = 2005, } @inproceedings{gelfand-2005-rr, author = "Natasha Gelfand and Niloy J. Mitra and Leonidas J. Guibas and Helmut Pottmann", title = "Robust Global Registration", booktitle = {{SGP} 2005: Third Eurographics Symposium on Geometry processing}, publisher = {Eurographics Association}, isbn = "3-905673-24-X", pages = "197-206", editor = "Matthieu Desbrun and Helmut Pottmann", xxurl="http://graphics.stanford.edu/projects/lgl/papers/gmgp-rgr-05/gmgp-rgr-05.pdf", url="/geom/ig/papers/gmgp-rgr-05.pdf", year = 2005, } @inproceedings{gelfand-2005-rr, author = "Natasha Gelfand and Niloy J. Mitra and Leonidas J. Guibas and Helmut Pottmann", title = "Robust Global Registration", booktitle = {{SGP} 2005: Third Eurographics Symposium on Geometry processing}, publisher = {Eurographics Association}, isbn = "3-905673-24-X", pages = "197-206", editor = "Matthieu Desbrun and Helmut Pottmann", xxurl="http://graphics.stanford.edu/projects/lgl/papers/gmgp-rgr-05/gmgp-rgr-05.pdf", url="/geom/ig/papers/gmgp-rgr-05.pdf", year = 2005, } @article{peternell-sv-2005, author = "Martin Peternell and Helmut Pottmann and Tibor Steiner and Hongkai Zhao", title ="Swept Volumes", journal = "Computer-Aided Design Appl.", volume = 2, pages = "599-608", year = 2005, url="/peternell/envelope_v4.pdf", } @proceedings{desbrun-2005-sgp, editor = "M. Desbrun and H. Pottmann", title = {{SGP} 2005: Third Eurographics Symposium on Geometry processing}, publisher = {Eurographics Association}, isbn = "3-905673-24-X", year = 2005, note = "Proceedings of the Conference in {V}ienna, July 4-6." } @article{pottmann-2005-vascs, author = {H. Pottmann and M. Hofer}, title = {A variational approach to spline curves on surfaces}, journal = "Comput. Aided Geom. Design", volume = 22, pages = "693-709", number = 7, year = "2005", url="/geom/ig/papers/vscs.pdf", } @misc{wallner-2005-fcn, author = "J. Wallner and H. Pottmann and M. Hofer", title = "Fair Curve Networks in Nonlinear Geometries", url="http://www.geometrie.tugraz.at/wallner/fwsketch.pdf", howpublished="ACM SIGGRAPH 2005 Conference Abstracts and Applications, August 2005 (electronic).", } @inproceedings{hofer-2005-3dsr, title = "{3D} shape recognition and reconstruction based on line element geometry", author = "M. Hofer and B Odehnal and H. Pottmann and T. Steiner and J. Wallner", booktitle = "Tenth IEEE International Conference on Computer Vision", year = 2005, volume = 2, pages = "1532--1538", publisher="IEEE Computer Society", isbn="0-7695-2334-X", url="http://www.geometrie.tugraz.at/wallner/iccv05line.pdf", } @article{pottmann-2005-igraacad, author = "H. Pottmann and S. Leopoldseder and M. Hofer and T. Steiner and W. Wang", title = "{I}ndustrial {G}eometry: Recent Advances and Applications in {CAD}", journal = "Computer-Aided Design", year = "2005", volume = "37", number = "7", pages = "751-766", url = "/geom/ig/papers/cad04.pdf", } @article{huang-2006-rfo, author = "Qi-Xing Huang and Simon Fl{\"o}ry and Natasha Gelfand and Michael Hofer and Helmut Pottmann", title = "Reassembling Fractured Objects by Geometric Matching", journal = {ACM Trans. Graphics}, volume = 25, number = 3, year = 2006, pages = "569-578", note = "Proc. SIGGRAPH 2006.", url = "/fg4/papers/reassembling.pdf", } @article{liu-2006-cm, author = {Yang Liu and Helmut Pottmann and Johannes Wallner and Yong-Liang Yang and Wenping Wang}, title = {Geometric modeling with conical meshes and developable surfaces}, journal = {ACM Trans. Graphics}, volume = 25, number = 3, year = 2006, issn = {0730-0301}, pages = {681--689}, note = "Proc. SIGGRAPH", url = "http://www.geometrie.tugraz.at/wallner/quad06.pdf", doi = {http://doi.acm.org/10.1145/1141911.1141941}, } @inproceedings{yang-2006-rpc, author = "Yong-Liang Yang and Yu-Kun Lai and Shi-Min Hu and Helmut Pottmann", title = "Robust Principal Curvatures on Multiple Scales", booktitle = {{SGP} 2006: 4th Eurographics Symposium on Geometry processing}, publisher = {Eurographics Association}, editor = "Konrad Polthier and Alla Sheffer", url = "http://www.geometrie.tugraz.at/wallner/sgp06-electronic.pdf", year = 2006, pages = "223-226", } @article{liu-2006-csr, author = "Y. Liu and H. Pottmann and W. Wang", title = "Constrained {3D} shape reconstruction using a combination of surface fitting and registration", journal = "Computer-Aided Design", volume = "38", number = "6", pages = "572-583", year = 2006, url = "http://www.geometrie.tuwien.ac.at/ig/papers/tr144.pdf", } @article{lai-2006-sffsp, author = "Y. Lai and S.-H. Hu and H. Pottmann", title = "Surface fitting based on a feature sensitive parametrization", journal = "Computer-Aided Design", volume = "38", number = "7", pages = "800-807", year = "2006", url = "http://www.geometrie.tuwien.ac.at/ig/papers/tr145.pdf", } @article{wang-2005-fbc, author = {W. Wang and H. Pottmann and Y. Liu}, title = {Fitting {B}-spline curves to point clouds by squared distance minimization}, journal = "ACM Trans. Graphics", year = 2006, volume = 25, issue = 2, pages = "214-238", url = "/geom/ig/papers/tr143.pdf", zweiturl = "http://www.cs.hku.hk/research/techreps/document/TR-2004-11.pdf", } @article{wallner-2006-is, author = {J. Wallner and H. Pottmann}, title = {Intrinsic Subdivision with Smooth Limits for Graphics and Animation}, journal = "ACM Trans. Graphics", year = 2006, volume = 25, number = 2, pages = "356-374", url="http://www.geometrie.tuwien.ac.at/wallner/sgsd.pdf", doi="10.1145/1138450.1138459", } @article{pottmann-2005-gca, author = {Helmut Pottmann and Qi-Xing Huang and Yong-Liang Yang and Shi-Min Hu}, title = {Geometry and convergence analysis of algorithms for registration of 3{D} shapes}, journal = "Int. J. Computer Vision", year = 2006, volume = "67", number = "3", pages = "277-296", url="/geom/ig/papers/tr117.pdf", } @article{wallner-2007-min, title = "Infinitesimally flexible meshes and discrete minimal surfaces", author = "Johannes Wallner and Helmut Pottmann", journal = {Monatshefte Math.}, year = 2007, note = "to appear", url = "http://www.geometrie.tugraz.at/wallner/cmin.pdf", } %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % % 2007 % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @incollection{aichholzer-2007-balls, author = "O. Aichholzer and F. Aurenhammer and T. Hackl and B. Kornberger and M. Peternell and H. Pottmann", title = "Approximating Boundary-Triangulated Objects with Balls", institution = "Vienna University of Technology", year = "2007", booktitle = "Proc. 23rd European Workshop on Computational Geometry", pages = "130-133", publisher = "TU Graz", url = "http://www.igi.tugraz.at/auren/psfiles/aahkpp-abtob-07.ps.gz", } @incollection{aurenhammer-2007-isvd, author = "F. Aurenhammer and J. Wallner and M. Peternell and H. Pottmann", title = "Voronoi Diagrams for Oriented Spheres", booktitle = "Proc. ISVD'07: 4th Int. Conf. Voronoi Diagrams in Science and Engineering", year = "2007", publisher = "IEEE Computer Society", editor = "Chris Gold", isbn = {0-7695-2869-4}, doi = {http://doi.ieeecomputersociety.org/10.1109/ISVD.2007.45}, pages="33-37", url = "http://www.geometrie.tugraz.at/wallner/zykel_ieee.pdf", } @article{lai-2007-fs, title = "Robust Feature Classification and Editing", author = "Yu-Kun Lai and Qian-Yi Zhou and Shi-Min Hu and Johannes Wallner and Helmut Pottmann", volume= 13, number = 1, pages = "34-45", year = 2007, journal = "IEEE Trans. Vis. Comp. Graphics", url="/geom/ig/papers/tr135.pdf", doi="10.1109/TVCG.2007.19", } @incollection{pottmann-2007-dsad, author = "Helmut Pottmann and Brell-Cokcan, Sigrid and Johannes Wallner", editor = "Patrick Chenin and Tom Lyche and Larry L. Schumaker", title = "Discrete Surfaces for Architectural Design", booktitle = "Curves and Surface Design: Avignon 2006", publisher = "Nashboro Press", pages = "213-234", isbn = "978-0-9728482-7-5", year = 2007, url = "http://www.geometrie.tugraz.at/wallner/avignon.pdf", } @article{pottmann-2007-pm, author = "Helmut Pottmann and Yang Liu and Johannes Wallner and Alexander Bobenko and Wenping Wang", title = "Geometry of Multi-layer Freeform Structures for Architecture", journal = {ACM Trans. Graphics}, year = 2007, volume = 26, number = "3", pages = "\#65, 1-11", note = "{P}roc. SIGGRAPH", url = "http://www.geometrie.tugraz.at/wallner/parallel.pdf", doi={http://doi.acm.org/10.1145/1275808.1276458}, } @article{kilian-2007-gmss, author = "Martin Kilian and Niloy J. Mitra and Helmut Pottmann", title = "Geometric Modeling in Shape Space", journal = "ACM Trans. Graphics", volume = 26, number = "3", pages = "\#64, 1-8", year = 2007, note = "{Proc.\ SIGGRAPH}", doi = "http://doi.acm.org/10.1145/1275808.1276457", url = "http://graphics.stanford.edu/~niloy/research/shape_space/paper_docs/shape_space_sig_07.pdf", } @incollection{mitra-2007-dgr, author = "N. J. Mitra and S. Fl{\"o}ry and M. Ovsjanikov and N. Gelfand and L. Guibas and H. Pottmann", title = "Dynamic Geometry Registration", booktitle = "Symposium on Geometry Processing", year = 2007, pages = "173-182", editor = "A. Belyaev and M. Garland", publisher = "Eurographics", url = "http://graphics.stanford.edu/~niloy/research/dyn_registration/paper_docs/dyn_registration_sgp_07.pdf", } @article{pottmann-2006-ii, author = "Helmut Pottmann and Johannes Wallner and Yong-Liang Yang and Yu-Kun Lai and Shi-Min Hu", title = "Principal curvatures from the integral invariant viewpoint", journal = "Comput. Aided Geom. Design", year = 2007, volume = 24, pages = {428-442}, publisher = "Elsevier", url= "http://www.geometrie.tugraz.at/wallner/icagd.pdf", } @incollection{pottmann-2007-ds, author = "Helmut Pottmann and Yang Liu", title = "Discrete Surfaces in Isotropic Geometry", booktitle = "Mathematics of Surfaces XII", year = 2007, editor = "M. Sabin and J. Winkler", series = "LNCS", volume = 4647, publisher = "Springer", pages = "341-363", url="http://i.cs.hku.hk/~gfxgroup/publications/Discrete%20Surfaces%20in%20Isotropic%20Geometry.pdf", } @book{pottmann-2007-ag, author = {H. Pottmann and A. Asperl and M. Hofer and A. Kilian}, title = {Architectural Geometry}, publisher = {Bentley Institute Press}, address = {}, isbn = "978-1-934493-04-5", year = {2007}, url = "http://www.architecturalgeometry.at", } @misc{pottmann-2007-iir, author="Helmut Pottmann and Johannes Wallner and Qixing Huang and Yong-Liang Yang", title = "Integral Invariants for Robust Geometry Processing", howpublished = "preprint, TU Wien", year = 2006, url="http://dmg.tuwien.ac.at/wallner/iirgp.pdf", } @techreport{fidler-2007-ip, author = "T. Fidler and M. Grasmair and H. Pottmann and O. Scherzer", title = "Inverse Problems of Integral Invariants and Signatures", year = 2007, institution = "Johann Radon Inst. Comp. Appl. Math", url = "http://www.ricam.oeaw.ac.at/publications/reports/07/rep07-01.pdf", number = "2007-01", } @article{pottmann-2007-fg, title = "The focal geometry of circular and conical meshes", author = "Helmut Pottmann and Johannes Wallner", journal = {Adv. Comp. Math}, year = 2007, note = "to appear", url = "http://www.geometrie.tugraz.at/wallner/focal.pdf", } @article{wallner-2007-fw, author = "J. Wallner and H. Pottmann and M. Hofer", title = "Fair Webs", journal = "The Visual Computer", year = "2007", volume = 23, number = 1, pages = "83-94", url="http://www.geometrie.tuwien.ac.at/wallner/fairwebs.pdf", doi="10.1007/s00371-006-0088-1", } @article{odehnal-2006-ekgle, author = "B. Odehnal and H. Pottmann and J. Wallner", title = "Equiform kinematics and the geometry of line elements", journal = "Beitr. Algebra Geom.", year = 2006, volume = 47, number = 2, pages = "567-582", url="http://www.geometrie.tugraz.at/wallner/ekgle.pdf", } @article{NOpottmann-2005-mbss, author = "D. H{\"o}nigmann and B. Petersch and J. Ruisz and H. Pottmann", title ="Manifold-based soft segmentation", journal = "Computerized Medical Imaging and Graphics", year = 2005, note = "submitted and retracted", } @article{lagmin, title = "{L}aguerre minimal surfaces, isotropic geometry and linear elasticity", author = "Helmut Pottmann and Philipp Grohs and Niloy J. Mitra", institution = {Vienna Univ. of Technology}, journal = "Adv. Comp. Math.", note = "to appear", url = "http://www.geometrie.tuwien.ac.at/grohs/papers/laguerre.pdf", } @techreport{wallner-tr84, author = {J. Wallner and H. Pottmann}, title = {Variational interpolation}, institution = "Institut f{\"u}r {G}eometrie, TU {W}ien", number = {84}, year = {2001}, url="http://www.geometrie.tuwien.ac.at/wallner/var.ps.gz", } @techreport{pottmann-tr91, author = {H. Pottmann and S. Leopoldseder and M. Hofer}, title = {Registration without {ICP}}, institution = {Institute of Geometry}, number = {91}, year = {2002}, month = {February}, url = "http://www.geometrie.tuwien.ac.at/geom/ig/papers/tr91.pdf", publishedas = {pottmann-2004-rwicp}, } @techreport{muehlthaler-tr92, author = {H. M{\"u}hlthaler and H. Pottmann}, title = {Computing the {M}inkowski sum of ruled surfaces}, institution = {Institute of Geometry}, number = {92}, year = {2002}, month = {March}, publishedas = {muehlthaler-2003-cms}, } @techreport{pottmann-tr94, author = {H. Pottmann and S. Leopoldseder}, title = {A concept for parametric surface fitting which avoids the parametrization problem}, institution = {Institute of Geometry}, number = {94}, year = {2002}, month = {June}, publishedas = {pottmann-2003-cps}, url="http://www.geometrie.tuwien.ac.at/geom/ig/papers/pot129.pdf", } @techreport{hofer-tr95, author = {M. Hofer and H. Pottmann and B. Ravani}, title = {From curve design algorithms to motion design}, institution = {Institute of Geometry}, number = {95}, year = {2002}, month = {July}, publishedas = {hofer-2004-cdbd}, url="http://www.geometrie.tuwien.ac.at/geom/ig/papers/tr95.pdf", } @techreport{pottmann-tr97, author = {M. Hofer and H. Pottmann and B. Ravani}, title = {Geometric design of motions constrained by a contacting surface pair}, institution = {Institute of Geometry}, number = {97}, year = {2002}, month = {December}, publishedas = {hofer-2003-gdm}, url="http://www.geometrie.tuwien.ac.at/geom/ig/papers/tr97.pdf", } @techreport{pottmann-tr99, author = {H. Pottmann and M. Hofer and B. Odehnal and J. Wallner}, title = {Line geometry for 3{D} shape understanding and reconstruction}, institution = {Institute of Geometry}, number = {99}, year = {2003}, month = {October}, publishedas = {pottmann-2004-lg3d}, url="http://www.geometrie.tuwien.ac.at/wallner/eccv.pdf", } @techreport{peternell-tr100, author = {M. Peternell and H. Pottmann and T. Steiner}, title = {Hough transform and {L}aguerre geometry for the recognition and reconstruction of special 3{D} shapes}, institution = {Institute of Geometry}, number = {100}, year = {2003}, month = {April}, url="http://www.geometrie.tuwien.ac.at/peternell/hough_lag1.pdf", } @techreport{leopoldseder-tr101, author = {S. Leopoldseder and H. Pottmann and H. Zhao}, title = {The $d^2$-tree: A hierarchical representation of the squared distance function}, institution = {Institute of Geometry}, number = {101}, year = {2003}, month = {March}, url="http://www.geometrie.tuwien.ac.at/ig/papers/t_rep101.pdf", } @techreport{pottmann-tr108, author = {H. Pottmann and T. Steiner and M. Hofer and C. Haider and A. Hanbury}, title = {The isophotic metric and its application to feature sensitive morphology on surfaces}, institution = {Institute of Geometry}, number = {108}, year = {2003}, month = {October}, publishedas = {pottmann-2004-im}, url="http://www.geometrie.tuwien.ac.at/geom/ig/papers/isomet04.pdf", } @techreport{hofer-tr113, author = {M. Hofer and H. Pottmann}, title = {{O}rientierung von {L}aserscanner-{P}unktwolken}, institution = {Institut f{\"u}r Geometrie}, number = {113}, year = {2003}, publishedas = {hofer-2003-olp}, url="http://www.geometrie.tuwien.ac.at/geom/ig/papers/tr113.pdf", } @techreport{pottmann-tr114, author = {H. Pottmann and M. Hofer and B. Ravani}, title = {Variational motion design}, institution = {Institute of Geometry}, number = {114}, year = {2003}, publishedas = {pottmann-2004-vmd}, month = {December}, url = "http://www.goemetrie.tuwien.ac.at/ig/papers/ark04.pdf", } @techreport{pottmann-tr115, author = {H. Pottmann and M. Hofer}, title = {A variational approach to spline curves on surfaces}, institution = {Institute of Geometry}, number = {115}, year = {2003}, publishedas = {pottmann-2005-vascs}, month = {October}, url="http://www.geometrie.tuwien.ac.at/ig/papers/vscs.pdf", } @techreport{pottmann-tr117, author = {Helmut Pottmann and Qi-Xing Huang and Yong-Liang Yang and Shi-Min Hu}, title = {Geometry and convergence analysis of algorithms for registration of 3{D} shapes}, institution = {Geometry Preprint Series, TU Wien}, number = {117}, year = {2004}, month = {June}, publishedas = "pottmann-2005-gca", url="http://www.geometrie.tuwien.ac.at/ig/papers/tr117.pdf", } @techreport{wallner-tr120, author = {J. Wallner and H. Pottmann}, title = {Intrinsic Subdivision with Smooth Limits for Graphics and Animation}, institution = "Geometry Preprint Series, TU Wien", number = "120", month = "January", year = 2004, publishedas = "wallner-2005-is", url="http://www.geometrie.tuwien.ac.at/wallner/sgsd.pdf", } @techreport{pottmann-tr121, author = "H. Pottmann and M. Hofer", title = "Algorithms for Constrained Minimization of Quadratic Functions --- Geometry and Convergence Analysis", institution = {Geometry Preprint Series, Vienna Univ. of Technology}, number = 121, month = "January", year = 2004, url = "http://www.geometrie.tuwien.ac.at/ig/papers/foot_tr121.pdf", } @techreport{hofer-tr122, author = "M. Hofer and H. Pottmann", title = "Energy-minimizing splines in manifolds", institution = {Geometry Preprint Series, Vienna Univ. of Technology}, publishedas = "hofer-2004-emsm", number = 122, url = "http://www.geometrie.tuwien.ac.at/ig/papers/sig04.pdf", year = 2004, } @techreport{odehnal-tr128, author = "B. Odehnal and H. Pottmann and J. Wallner", title = "Equiform kinematics and the geometry of line elements", institution = {Geometry Preprint Series, Vienna Univ. of Technology}, number = 128, year = 2004, month = "November", url="http://www.geometrie.tuwien.ac.at/wallner/ekgle.pdf", publishedas="odehnal-2006-ekgle", } @techreport{peternell-tr130, author = "M. Peternell and H. Pottmann and T. Steiner and H. Zhao", title ="Swept Volumes", institution = {Geometry Preprint Series, Vienna Univ. of Technology}, number = 130, year = 2004, month = "November", url="http://www.geometrie.tuwien.ac.at/peternell/envelope_v2.pdf", publishedas="peternell-sv-2005", } @techreport{wallner-tr134, author = "J. Wallner and H. Pottmann and M. Hofer", title = "Fair Webs", institution = {Geometry Preprint Series, Vienna Univ. of Technology}, number = 134, year = 2005, month = "January", url="http://www.geometrie.tuwien.ac.at/wallner/fairwebs.pdf", publishedas="wallner-2007-fw", } @techreport{lai-tr135, author = "Y. Lai and Q. Zhou and S. Hu and J. Wallner and H. Pottmann", title = "Feature sensitive geometry processing", institution = {Geometry Preprint Series, Vienna Univ. of Technology}, number = 135, year = 2005, month = "January", url="http://www.geometrie.tuwien.ac.at/ig/papers/tr135orig.pdf", publishedas = "lai-2007-fs", } @techreport{hofer-tr136, title = "{3D} shape recognition and reconstruction based on line element geometry", author = "M. Hofer and B Odehnal and H. Pottmann and T. Steiner and J. Wallner", institution = {Geometry Preprint Series, Vienna Univ. of Technology}, number = 136, year = 2005, month = "March", url="http://www.geometrie.tuwien.ac.at/wallner/iccv05line.pdf", publishedas = "hofer-2005-3dsr", } @techreport{peternell-tr140, author = "M. Peternell and H. Pottmann and T. Steiner", title = "Minkowski sum boundary surfaces of {3D}-objects", institution = {Geometry Preprint Series, Vienna Univ. of Technology}, number = 140, year = 2005, month = "August", url = "http://www.geometrie.tuwien.ac.at/peternell/ms_paper_v1.pdf", publishedas="peternell-2007-msb", } @techreport{hofer-tr142, author = "M. Hofer and H. Pottmann", title = "Designing energy-minimizing rigid body motions in the presence of obstacles", institution = {Geometry Preprint Series, Vienna Univ. of Technology}, number = 142, year = 2005, month = "July", url = "http://www.geometrie.tuwien.ac.at/ig/papers/tr142.pdf", } @techreport{wang-tr143, author = "W. Wang and H. Pottmann and Y. Liu", title = "Fitting {B}-spline curves to point clouds by squared distance minimization", institution = {Geometry Preprint Series, Vienna Univ. of Technology}, number = 143, year = 2005, month = "August", url = "http://www.geometrie.tuwien.ac.at/ig/papers/tr143.pdf", publishedas = "wang-2005-fbc" } @techreport{liu-tr144, author = "Y. Liu and H. Pottmann and W. Wang", title = "Constrained {3D} shape reconstruction using a combination of surface fitting and registration", institution = {Geometry Preprint Series, Vienna Univ. of Technology}, number = 144, year = 2005, month = "August", url = "http://www.geometrie.tuwien.ac.at/ig/papers/tr144.pdf", publishedas = "liu-2006-csr", } @techreport{lai-tr145, author = "Y. Lai and S.-H. Hu and H. Pottmann", title = "Surface fitting based on a feature sensitive parametrization", institution = {Geometry Preprint Series, Vienna Univ. of Technology}, number = 145, year = 2005, month = "October", url = "http://www.geometrie.tuwien.ac.at/ig/papers/tr145.pdf", publishedas = "lai-2006-sffsp", } @techreport{pottmann-tr146, author = "H. Pottmann and Q.-X. Huang and Y.-L. Yang and S. K{\"o}lpl", title = "Integral invariants for robust geometry processing", institution = {Geometry Preprint Series, Vienna Univ. of Technology}, number = 146, year = 2005, month = "November", url = "http://www.geometrie.tuwien.ac.at/ig/papers/tr146.pdf", } @techreport{huang-tr152, author = "Qi-Xing Huang and Helmut Pottmann", title = {Automatic and Robust Multi-View Registration}, institution = {Geometry Preprint Series, Vienna Univ. of Technology}, number = 152, year = 2005, month = "December", url = "http://www.geometrie.tuwien.ac.at/ig/papers/tr152.pdf", } @techreport{huang-tr153, author = "Qi-Xing Huang and Simon Fl{\"o}ry and Natasha Gelfand and Michael Hofer and Helmut Pottmann", title = "Reassembling Fractured Objects by Geometric Matching", institution = {Geometry Preprint Series, Vienna Univ. of Technology}, number = 153, year = 2006, month = "January", url = "http://www.geometrie.tuwien.ac.at/ig/papers/reassembling.pdf", } @techreport{liu-tr156, author = "Y. Liu and H. Pottmann and J. Wallner and W. Wang and Y. Yang", title = "Geometric Modeling with Conical Meshes and Developable Surfaces", institution = {Geometry Preprint Series, Vienna Univ. of Technology}, number = 156, month = "January", year = 2006, url = "http://www.geometrie.tuwien.ac.at/wallner/quad06.pdf", publishedas = "liu-2006-cm", } @techreport{pottmann-tr158, author = "H. Pottmann", title = "Generalized conical meshes and their support structures", institution = {Geometry Preprint Series, Vienna Univ. of Technology}, number = 158, year = 2006, month = "April", } @techreport{wallner-tr162, title = "Infinitesimally flexible meshes and discrete minimal surfaces", author = "Johannes Wallner and Helmut Pottmann", institution = {Geometry Preprint Series, Vienna Univ. of Technology}, number = 162, month = "August", year = 2006, url = "http://www.geometrie.tugraz.at/wallner/cmin.pdf", publishedas = "wallner-2007-min", } @techreport{pottmann-tr163, title = "The focal geometry of circular and conical meshes", author = "Helmut Pottmann and Johannes Wallner", institution = {Geometry Preprint Series, Vienna Univ. of Technology}, number = 163, month = "August", year = 2006, url = "http://www.geometrie.tuwien.ac.at/wallner/focal.pdf", publishedas={pottmann-fg-2007}, } @techreport{pottmann-tr168, author = "Helmut Pottmann and Sigrid Brell-Cokcan and Johannes Wallner", title = "Discrete Surfaces for Architectural Design", institution = {Geometry Preprint Series, Vienna Univ. of Technology}, number = 168, month ="October", year= 2006, url = "http://www.geometrie.tugraz.at/wallner/avignon.pdf", publishedas="pottmann-2007-dsad", } @techreport{thorstensen-tr170, author = "N. Thorstensen and M. Hofer and G. Sapiro and H. Pottmann", title = "Measuring Cortical Thickness from Volumetric {MRI} Data", institution = "Vienna University of Technology", year = "2006", month = "December", type = "Geometry Preprint", number = "170", url = "http://dmg.tuwien.ac.at/fg4/papers/tr170.pdf", } @techreport{nawratil-tr172, author = "G. Nawratil and H. Pottmann and B. Ravani", title = "Generalized penetration depth computation based on kinematical geometry", institution = "Vienna University of Technology", year = "2007", month = "March", type = "Geometry Preprint", number = "172", url = "http://www.geometrie.tuwien.ac.at/nawratil/gpdcbokg.pdf", } @techreport{kilian-tr173, author = "M. Kilian and N. Mitra and H. Pottmann", title = "Geometric modeling in shape space", institution = "Vienna University of Technology", year = "2007", month = "January", type = "Geometry Preprint", number = "173", publishedas="kilian-2007-gmss", } @techreport{aichholzer-tr175, author = "O. Aichholzer and F. Aurenhammer and T. Hackl and B. Kornberger and M. Peternell and H. Pottmann", title = "Approximating Boundary-Triangulated Objects with Balls", institution = "Vienna University of Technology", year = "2007", month = "February", type = "Geometry Preprint", number = "175", url = "http://www.igi.tugraz.at/auren/psfiles/aahkpp-abtob-07.ps.gz", publishedas = "aichholzer-2007-balls", } @techreport{aurenhammer-tr176, author = "F. Aurenhammer and J. Wallner and M. Peternell and H. Pottmann", title = "Voronoi Diagrams for Oriented Spheres", institution = "Vienna University of Technology", year = "2007", month = "March", type = "Geometry Preprint", number = "176", url="http://www.geometrie.tugraz.at/wallner/zykel_ieee.pdf", publishedas="aurenhammer-2007-isvd", } @techreport{pottmann-tr180, title = "{L}aguerre minimal surfaces, isotropic geometry and linear elasticity", author = "Helmut Pottmann and Philipp Grohs and Niloy J. Mitra", institution = {Geometry Preprint Series, Vienna Univ. of Technology}, number = 180, month = "July", year = 2007, url = "http://www.geometrie.tuwien.ac.at/grohs/papers/laguerre.pdf", } @techreport{pottmann-tr181, author = "Helmut Pottmann and Yang Liu and Johannes Wallner and Alexander Bobenko and Wenping Wang", title = "Geometry of Multi-layer Freeform Structures for Architecture", institution = {Geometry Preprint Series, Vienna Univ. of Technology}, number = 181, month = "January", year = 2007, url = "http://www.geometrie.tugraz.at/wallner/parallel.pdf", } @techreport{pottmann-tr182, author = "Georg Nawratil and Helmut Pottmann", title = " Subdivision Schemes for the fair Discretization of the Spherical Motion Group", institution = {Geometry Preprint Series, Vienna Univ. of Technology}, number = 182, month = "June", year = 2007, url = "http://www.geometrie.tuwien.ac.at/nawratil/gitter_neu.pdf", } @phdthesis{wallner-1996-gmcsm, author = "J. Wallner", school = "Technische Universit{\"a}t Wien", title = "Geometric Contributions to Surface Modeling", advisor = "H. Pottmann", year = 1996, url="http://www.geometrie.tugraz.at/wallner/diss.ps.gz", note = "Advisor: H. Pottmann", } @phdthesis{wallner-1996-gmcsm, author = "J. Wallner", school = "Technische Universit{\"a}t Wien", title = "Geometric Contributions to Surface Modeling", advisor = "H. Pottmann", year = 1996, url="http://www.geometrie.tugraz.at/wallner/diss.ps.gz", note = "Advisor: H. Pottmann", } @phdthesis{peternell-1997-rp, author = {M. Peternell}, title = {Rational Parametrizations for Envelopes of Quadric Families}, school = {Vienna University of Technology}, advisor = "H. Pottmann", year = {1997}, note = "Advisor: H. Pottmann", } @phdthesis{peternell-1997-rp, author = {M. Peternell}, title = {Rational Parametrizations for Envelopes of Quadric Families}, school = {Vienna University of Technology}, advisor = "H. Pottmann", year = {1997}, note = "Advisor: H. Pottmann", } @phdthesis{leopoldseder-1998-css, author = "S. Leopoldseder", title = "Cone spline surfaces and spatial arc splines", school = "Technische Universit{\"a}t Wien", advisor = "H. Pottmann", year = 1998, url="/geom/ig/papers/leophd.pdf", note = "Advisor: H. Pottmann", } @phdthesis{leopoldseder-1998-css, author = "S. Leopoldseder", title = "Cone spline surfaces and spatial arc splines", school = "Technische Universit{\"a}t Wien", advisor = "H. Pottmann", year = 1998, url="/geom/ig/papers/leophd.pdf", note = "Advisor: H. Pottmann", } @phdthesis{odehnal-2002-omlc, author = "B. Odehnal", school = "Technische Universit{\"a}t Wien", title = "Geometric optimization methods for line congruences", note = "Advisor: H. Pottmann", year = 2002, } @phdthesis{hofer-2004-vmdpo, author = "M. Hofer", school = "Vienna University of Technology", title = "Variational motion design in the presence of obstacles", url="/hofer/diss_hofer.pdf", note = "Advisor: H. Pottmann", year = "2004", } @misc{peternell-1999-ga, author = {M. Peternell and H. Pottmann}, title = {Geometric Approximation}, howpublished = {Part of a 1-day Course entitled 'Applications of Classical Geometry in Computer-Aided Design', held at the 6th SIAM conference on Geometric Design, Albuquerque, NM, Organizer: H. Pottmann}, year = {1999}, } @misc{peternell-1999-ga, author = {M. Peternell and H. Pottmann}, title = {Geometric Approximation}, howpublished = {Part of a 1-day Course entitled 'Applications of Classical Geometry in Computer-Aided Design', held at the 6th SIAM conference on Geometric Design, Albuquerque, NM, Organizer: H. Pottmann}, year = {1999}, } @misc{peternell-1999-sga, author = {M. Peternell}, title = {Sphere geometry with applications}, howpublished = {Part of a 1-day Course entitled 'Applications of Classical Geometry in Computer-Aided Design', held at the 6th SIAM conference on Geometric Design, Albuquerque, NM, Organizer: H. Pottmann}, year = {1999}, } @techreport{pottmann-2001-tracv16, author = {D. H{\"o}nigmann and J. Ruisz and H. Pottmann}, title = {Interactive segmentation of ultrasound images}, institution = {Advanced Computer Vision GmbH}, number = {16}, year = {2001}, publishedas = {hoenigmann-2002-fmbs}, } @techreport{pottmann-2003-trdavis, author = {H. Pottmann and J. K. Eberharter and B. Ravani}, title = {Stereographic projection of {S}tudy's quadric}, institution = {UC Davis}, year = {2003}, note = "unpublished note", publishedas = "eberharter-2003-sp", } @misc{peternell-2003-cgsgc, author = {M. Peternell and H. Pottmann}, title = {Classical Geometry for Symbolic Geometric Computing}, howpublished = {Tutorial at the ISSAC 2003, Philadelphia, Organizer: J. Schicho}, year = {2003}, url="/peternell/issac_tutorial.pdf", } @techreport{wang-2004-tr, author = {W. Wang and H. Pottmann and Y. Liu}, title = {Using squared distance minimization for curve reconstruction from unorganized data points}, institution = {University of Hong Kong}, number = {TR-2004-11 (CS series)}, url = "http://www.cs.hku.hk/research/techreps/document/TR-2004-11.pdf", year = {2004}, publishedas = "wang-2005-fbc", } @article{pottmann-2004-cadig, author = "H. {Pottmann, Editor}", title = "Industrial Geometry", journal = "Computer-Aided Design", volume = "36", number = 4, year = 2004, note = "Special issue", } @article{pottmann-2004-cagdig, author = "H. {Pottmann, Editor}", title = "Geometric Modeling and Processing", journal = "Comput. Aided Geom. Design", volume = "21", number = 8, year = 2004, note = "Special issue", } @article{pottmann-2005-cadgmp, author = "H. {Pottmann, Editor}", title = "Geometric Modeling and Processing", journal = "Computer-Aided Design", volume = "37", number = 5, year = 2005, note = "Special section", }