Clean up your Mesh! Part 1: Plane and simplex.

Leo Dorst

Steven De Keninck Martin Roelfs Leo Dorst David Eeelbode Clean up your Mesh! Part 1: Plane and simplex. 2025 November abs/2511.08058 CoRR https://doi.org/10.48550/arXiv.2511.08058 db/journals/corr/corr2511.html#abs-2511-08058 streams/journals/corr

Rick Groenendijk Leo Dorst Theo Gevers HaarNet: Large-Scale Linear-Morphological Hybrid Network for RGB-D Semantic Segmentation. 242-254 2024 DGMM https://doi.org/10.1007/978-3-031-57793-2_19 conf/dgmm/2024 db/conf/dgmm/dgmm2024.html#GroenendijkDG24

Rick Groenendijk Leo Dorst Theo Gevers Geometric Back-Propagation in Morphological Neural Networks. 14045-14051 2023 November 45 IEEE Trans. Pattern Anal. Mach. Intell. 11 https://doi.org/10.1109/TPAMI.2023.3290615 db/journals/pami/pami45.html#GroenendijkDG23

Leo Dorst Paraxial Geometric Optics in 3D Through Point-Based Geometric Algebra. 340-354 2023 CGI (4) https://doi.org/10.1007/978-3-031-50078-7_27 conf/cgi/2023-4 db/conf/cgi/cgi2023-4.html#Dorst23

Rick Groenendijk Leo Dorst Theo Gevers HaarNet: Large-scale Linear-Morphological Hybrid Network for RGB-D Semantic Segmentation. 2023 abs/2310.07669 CoRR https://doi.org/10.48550/arXiv.2310.07669 db/journals/corr/corr2310.html#abs-2310-07669

Hanan ElNaghy Leo Dorst Pairwise Alignment of Archaeological Fragments Through Morphological Characterization of Fracture Surfaces. 2184-2204 2022 130 Int. J. Comput. Vis. 9 https://doi.org/10.1007/s11263-022-01635-3 db/journals/ijcv/ijcv130.html#ElNaghyD22

Rick Groenendijk Leo Dorst Theo Gevers MorphPool: Efficient Non-linear Pooling & Unpooling in CNNs. 56 2022 BMVC https://bmvc2022.mpi-inf.mpg.de/56/ conf/bmvc/2022 db/conf/bmvc/bmvc2022.html#GroenendijkDG22 Leo Dorst Complementary Orientations in Geometric Algebras. 54-66 2022 ENGAGE https://doi.org/10.1007/978-3-031-30923-6_5 conf/engage/2022 db/conf/engage/engage2022.html#Dorst22

Rick Groenendijk Leo Dorst Theo Gevers MorphPool: Efficient Non-linear Pooling & Unpooling in CNNs. 2022 abs/2211.14037 CoRR https://doi.org/10.48550/arXiv.2211.14037 db/journals/corr/corr2211.html#abs-2211-14037

Hanan ElNaghy Leo Dorst Boundary Morphology for Hierarchical Simplification of Archaeological Fragments. 46-63 2020 4 Math. Morphol. Theory Appl. 1 https://doi.org/10.1515/mathm-2020-0101 db/journals/mathm/mathm4.html#ElNaghyD20

Steven De Keninck Leo Dorst Hyperwedge. 549-554 2020 CGI https://doi.org/10.1007/978-3-030-61864-3_47 conf/cgi/2020 db/conf/cgi/cgi2020.html#KeninckD20 Steven De Keninck Leo Dorst Geometric Algebra Levenberg-Marquardt. 511-522 2019 CGI https://doi.org/10.1007/978-3-030-22514-8_51 conf/cgi/2019 db/conf/cgi/cgi2019.html#KeninckD19 Hanan ElNaghy Leo Dorst Complementarity-Preserving Fracture Morphology for Archaeological Fragments. 403-414 2019 ISMM https://doi.org/10.1007/978-3-030-20867-7_31 conf/ismm/2019 db/conf/ismm/ismm2019.html#ElNaghyD19

Hanan ElNaghy Leo Dorst Morphological Simplification of Archaeological Fracture Surfaces. 2019 abs/1901.05726 CoRR http://arxiv.org/abs/1901.05726 db/journals/corr/corr1901.html#abs-1901-05726

Hanan ElNaghy Leo Dorst Using Mathematical Morphology to Simplify Archaeological Fracture Surfaces. 3-4 2018 SGP (Posters) https://doi.org/10.2312/sgp.20181179 conf/sgp/2018p db/conf/sgp/sgp2018p.html#ElNaghyD18 Hanan ElNaghy Leo Dorst Geometry Based Faceting of 3D Digitized Archaeological Fragments. 2934-2942 2017 ICCV Workshops https://doi.org/10.1109/ICCVW.2017.346 https://doi.ieeecomputersociety.org/10.1109/ICCVW.2017.346 conf/iccvw/2017 db/conf/iccvw/iccvw2017.html#ElNaghyD17

Leo Dorst The Construction of 3D Conformal Motions. 97-113 2016 10 Math. Comput. Sci. 1 https://doi.org/10.1007/s11786-016-0250-8 https://www.wikidata.org/entity/Q59438255 db/journals/mics/mics10.html#Dorst16

Stephen C. Phillips Paul W. Walland Stefano Modafferi Leo Dorst Michela Spagnuolo Chiara Eva Catalano Dominic Oldman Ayellet Tal Ilan Shimshoni Sorin Hermon GRAVITATE: Geometric and Semantic Matching for Cultural Heritage Artefacts. 199-202 2016 GCH https://doi.org/10.2312/gch.20161407 conf/vast/2016 db/conf/vast/gch2016.html#PhillipsWMDSCOT16

Leo Dorst Total Least Squares Fitting of k-Spheres in n-D Euclidean Space Using an (n+2)-D Isometric Representation. 214-234 2014 50 J. Math. Imaging Vis. 3 https://doi.org/10.1007/s10851-014-0495-2 db/journals/jmiv/jmiv50.html#Dorst14

Leo Dorst Geometric Algebra. 329-333 2014 Computer Vision, A Reference Guide https://doi.org/10.1007/978-0-387-31439-6_656 db/reference/vision/vision2014.html#Dorst14 Gijs Dubbelman Leo Dorst Henk Pijls Manifold Statistics for Essential Matrices. 531-544 2012 ECCV (2) https://doi.org/10.1007/978-3-642-33709-3_38 conf/eccv/2012-2 db/conf/eccv/eccv2012-2.html#DubbelmanDP12 Robert Valkenburg Leo Dorst Estimating Motors from a Variety of Geometric Data in 3D Conformal Geometric Algebra. 25-45 2011 Guide to Geometric Algebra in Practice https://doi.org/10.1007/978-0-85729-811-9_2 books/daglib/0027828 db/books/daglib/0027828.html#ValkenburgD11 Daniel Fontijne Leo Dorst Reconstructing Rotations and Rigid Body Motions from Exact Point Correspondences Through Reflections. 63-78 2011 Guide to Geometric Algebra in Practice https://doi.org/10.1007/978-0-85729-811-9_4 books/daglib/0027828 db/books/daglib/0027828.html#FontijneD11 Leo Dorst Robert Valkenburg Square Root and Logarithm of Rotors in 3D Conformal Geometric Algebra Using Polar Decomposition. 81-104 2011 Guide to Geometric Algebra in Practice https://doi.org/10.1007/978-0-85729-811-9_5 books/daglib/0027828 db/books/daglib/0027828.html#DorstV11 Leo Dorst Tutorial Appendix: Structure Preserving Representation of Euclidean Motions Through Conformal Geometric Algebra. 435-453 2011 Guide to Geometric Algebra in Practice https://doi.org/10.1007/978-0-85729-811-9_21 books/daglib/0027828 db/books/daglib/0027828.html#Dorst11 Leo Dorst Joan Lasenby Guide to Geometric Algebra in Practice. Springer 2011 978-0-85729-810-2 https://doi.org/10.1007/978-0-85729-811-9 db/books/daglib/0027828.html Isaac Esteban Leo Dorst Judith Dijk Closed Form Solution for the Scale Ambiguity Problem in Monocular Visual Odometry. 665-679 2010 ICIRA (1) https://doi.org/10.1007/978-3-642-16584-9_64 conf/icira/2010-1 db/conf/icira/icira2010-1.html#EstebanDD10 Leo Dorst Tutorial: Structure-Preserving Representation of Euclidean Motions Through Conformal Geometric Algebra. 35-52 2010 Geometric Algebra Computing https://doi.org/10.1007/978-1-84996-108-0_2 books/sp/bayro10 db/books/collections/Bayro2010.html#Dorst10 Daniel Fontijne Leo Dorst Efficient Algorithms for Factorization and Join of Blades. 457-476 2010 Geometric Algebra Computing https://doi.org/10.1007/978-1-84996-108-0_21 books/sp/bayro10 db/books/collections/Bayro2010.html#FontijneD10 Naoya Ohnishi Yusuke Kameda Atsushi Imiya Leo Dorst Reinhard Klette Dynamic Multiresolution Optical Flow Computation. 1-15 2008 conf/robvis/2008 RobVis https://doi.org/10.1007/978-3-540-78157-8_1 https://www.wikidata.org/entity/Q60574783 db/conf/robvis/robvis2008.html#OhnishiKIDK08 Leo Dorst Daniel Fontijne Stephen Mann Geometric algebra for computer science - an object-oriented approach to geometry. I-XXXV, 1-626 Morgan Kaufmann 2007 The Morgan Kaufmann series in computer graphics 978-0-12-369465-2 Leo Dorst The Representation of Rigid Body Motions in the Conformal Model of Geometric Algebra. 507-529 2006 Human Motion https://doi.org/10.1007/978-1-4020-6693-1_21 conf/dagstuhl/2006motion db/conf/dagstuhl/motion2006.html#Dorst06 Dietmar Hildenbrand Daniel Fontijne Yusheng Wang Marc Alexa Leo Dorst Competitive Runtime Performance for Inverse Kinematics Algorithms using Conformal Geometric Algebra. 5-8 2006 Eurographics (Short Presentations) https://doi.org/10.2312/egs.20061015 conf/eurographics/2006short db/conf/eurographics/eg-short2006.html#HildenbrandFWAD06

Leo Dorst First Order Error Propagation of the Procrustes Method for 3D Attitude Estimation. 221-229 2005 27 IEEE Trans. Pattern Anal. Mach. Intell. 2 https://doi.org/10.1109/TPAMI.2005.29 http://doi.ieeecomputersociety.org/10.1109/TPAMI.2005.29 https://www.wikidata.org/entity/Q62492857 db/journals/pami/pami27.html#Dorst05

Marius Dorian Zaharia Leo Dorst Modeling and visualization of 3D polygonal mesh surfaces using geometric algebra. 519-526 2004 28 Comput. Graph. 4 https://doi.org/10.1016/j.cag.2004.04.007 db/journals/cg/cg28.html#ZahariaD04

Dietmar Hildenbrand Christian Perwass Leo Dorst Daniel Fontijne Geometric Algebra and its Application to Computer Graphics. 2004 Eurographics (Tutorials) https://doi.org/10.2312/egt.20041032 conf/eurographics/2004tutorials db/conf/eurographics/eg-tutorials2004.html#HildenbrandPDF04

Daniel Fontijne Leo Dorst Modeling 3D Euclidean Geometry. 68-78 2003 23 IEEE Computer Graphics and Applications 2 https://doi.org/10.1109/MCG.2003.1185582 http://doi.ieeecomputersociety.org/10.1109/MCG.2003.1185582 db/journals/cga/cga23.html#FontijneD03

Leo Dorst N. Ahmed Reduction of placement problems using Minkowski decomposition. 133-138 2003 33 IEEE Trans. Syst. Man Cybern. Part B 1 db/journals/tsmc/tsmcb33.html#DorstA03 https://doi.org/10.1109/TSMCB.2003.808180 https://www.wikidata.org/entity/Q51895292

Leo Dorst Stephen Mann Geometric Algebra: A Computational Framework for Geometrical Applications (Part 1). 24-31 2002 22 IEEE Computer Graphics and Applications 3 https://doi.org/10.1109/MCG.2002.999785 http://doi.ieeecomputersociety.org/10.1109/MCG.2002.999785 db/journals/cga/cga22.html#DorstM02

Stephen Mann Leo Dorst Geometric Algebra: A Computational Framework for Geometrical Applications (Part 2). 58-67 2002 22 IEEE Computer Graphics and Applications 4 https://doi.org/10.1109/MCG.2002.1016699 http://doi.ieeecomputersociety.org/10.1109/MCG.2002.1016699 db/journals/cga/cga22.html#MannD02

Karen Trovato Leo Dorst Differential <i>A*</i>. 1218-1229 2002 14 IEEE Trans. Knowl. Data Eng. 6 https://doi.org/10.1109/TKDE.2002.1047763 http://doi.ieeecomputersociety.org/10.1109/TKDE.2002.1047763 db/journals/tkde/tkde14.html#TrovatoD02

Leo Dorst Rein van den Boomgaard The Support Cone: A Representational Tool for the Analysis of Boundaries and Their Interactions. 174-178 2000 22 IEEE Trans. Pattern Anal. Mach. Intell. 2 https://doi.org/10.1109/34.825755 http://doi.ieeecomputersociety.org/10.1109/34.825755 db/journals/pami/pami22.html#DorstB00

Leo Dorst Rein van den Boomgaard The Systems Theory of Contact. 22-47 2000 conf/afpac/2000 AFPAC db/conf/afpac/afpac2000.html#DorstB00 https://doi.org/10.1007/10722492_2

Leo Dorst Analyzing the behaviours of a car: a study in abstraction of goal-directed motions. 811-822 1998 28 IEEE Trans. Syst. Man Cybern. Part A 6 db/journals/tsmc/tsmca28.html#Dorst98 https://doi.org/10.1109/3468.725352

Emiel P. M. Corten Leo Dorst Ben J. A. Kröse The Design of OASIS - Open Architecture for Simulations with Intelligent Systems. 455-459 1998 conf/esm/1998 ESM db/conf/esm/esm1998.html#CortenDK98 Leo Dorst Bottom-up Derivation of the Qualitatively Different Behaviours of a Car across Varying Spatio-Temporal Scales: A Study in Abstraction of Goal-Directed Motion. 344-355 1997 conf/afpac/1997 AFPAC db/conf/afpac/afpac1997.html#Dorst97 https://doi.org/10.1007/BFb0017877 Alfons G. Hoekstra Leo Dorst Martin Bergman Jose M. Lagerberg Arnoud Visser Hakan Yakali Frans C. A. Groen Louis O. Hertzberger High Performance Discrete Event Simulations to Evaluate Complex Industrial Systems. 41-50 1997 conf/hpcn/1997 HPCN Europe db/conf/hpcn/hpcn1997.html#HoekstraDBLVYGH97 https://doi.org/10.1007/BFb0031578 Rein van den Boomgaard Leo Dorst The Morphological Equivalent of Gaussian Scale-Space. 203-220 1997 Gaussian Scale-Space Theory https://doi.org/10.1007/978-94-015-8802-7_15 series/civ/8 db/series/civ/civ8.html#BoomgaardD97 Rein van den Boomgaard Leo Dorst Shérif Makram-Ebeid John G. M. Schavemaker Quadratic Structuring Functions in Mathematical Morphology. 147-154 1996 ISMM https://doi.org/10.1007/978-1-4613-0469-2_17 conf/ismm/1996 db/conf/ismm/ismm1996.html#BoomgaardDMS96 Leo Dorst Michiel van Lambalgen Frans Voorbraak Reasoning with Uncertainty in Robotics, International Workshop, RUR '95, Amsterdam, The Netherlands, December 4-6, 1995, Proceedings Reasoning with Uncertainty in Robotics Lecture Notes in Computer Science 1093 Springer 1996 3-540-61376-5 https://doi.org/10.1007/BFb0013951 db/conf/rur/rur1995.html Leo Dorst Michiel van Lambalgen Frans Voorbraak Introduction. 1-6 1995 conf/rur/1995 Reasoning with Uncertainty in Robotics db/conf/rur/rur1995.html#DorstLV95 https://doi.org/10.1007/BFb0013952

Leo Dorst Rein van den Boomgaard Morphological signal processing and the slope transform. 79-98 1994 38 Signal Process. 1 https://doi.org/10.1016/0165-1684(94)90058-2 db/journals/sigpro/sigpro38.html#DorstB94

Leo Dorst Rein van den Boomgaard Two Dual Representations of Morphology Based on the Parallel Normal Transport Property. 161-170 1994 ISMM https://doi.org/10.1007/978-94-011-1040-2_21 conf/ismm/1994 db/conf/ismm/ismm1994.html#DorstB94

Leo Dorst Towards formal theories of autonomous goal-directed behavior. 1-3 1992 9 Robotics Auton. Syst. 1-2 https://doi.org/10.1016/0921-8890(92)90030-3 db/journals/ras/ras9.html#Dorst92

Leo Dorst Hsiang-Lung Wu The geometry of knowledge acquisition through motion and sensing. 75-104 1992 9 Robotics Auton. Syst. 1-2 https://doi.org/10.1016/0921-8890(92)90033-U db/journals/ras/ras9.html#DorstW92

Leo Dorst Indur Mandhyan Karen Trovato The geometrical representation of path planning problems. 181-195 1991 7 Robotics Auton. Syst. 2-3 https://doi.org/10.1016/0921-8890(91)90041-I https://www.wikidata.org/entity/Q124960320 db/journals/ras/ras7.html#DorstMT91

D. Paul Benjamin Alec Cameron Leo Dorst Madeleine E. Rosar Hsiang-Lung Wu Integrating Perception with Problem Solving. 41-45 1991 2 SIGART Bull. 4 db/journals/sigart/sigart2.html#BenjaminCDRW91 https://doi.org/10.1145/122344.122351

Leo Dorst Indur Mandhyan Karen Trovato The Geometrical Structure of Path Planning Problems. 155-167 1989 conf/ias/1989 IAS db/conf/ias/ias1989.html#DorstMT89 Karen Trovato Leo Dorst Autonomous Planning of Vehicle Maneuvers. 981-983 1989 conf/ias/1989 IAS db/conf/ias/ias1989.html#TrovatoD89

Leo Dorst Arnold W. M. Smeulders Length estimators for digitized contours. 311-333 1987 40 Comput. Vis. Graph. Image Process. 3 https://doi.org/10.1016/S0734-189X(87)80145-7 db/journals/cvgip/cvgip40.html#DorstS87

Leo Dorst Arnold W. M. Smeulders Best Linear Unbiased Estimators for Properties of Digitized Straight Lines. 276-282 1986 8 IEEE Trans. Pattern Anal. Mach. Intell. 2 https://doi.org/10.1109/TPAMI.1986.4767781 http://doi.ieeecomputersociety.org/10.1109/TPAMI.1986.4767781 https://www.wikidata.org/entity/Q48537441 db/journals/pami/pami8.html#DorstS86

Leo Dorst Arnold W. M. Smeulders Correction to "Best Linear Unbiased Estimators for Properties of Digitized Straight Lines". 676 1986 8 IEEE Trans. Pattern Anal. Mach. Intell. 5 https://doi.org/10.1109/TPAMI.1986.4767845 db/journals/pami/pami8.html#DorstS86a

Piet W. Verbeek Leo Dorst Ben J. H. Verwer Frans C. A. Groen Collision Avoidance and Path Finding through Constrained Distance Tranceformation in Robot State Space. 627-634 1986 conf/ias/1986 IAS db/conf/ias/ias1986.html#VerbeekDVG86

Leo Dorst Arnold W. M. Smeulders Discrete Representation of Straight Lines. 450-463 1984 6 IEEE Trans. Pattern Anal. Mach. Intell. 4 https://doi.org/10.1109/TPAMI.1984.4767550 http://doi.ieeecomputersociety.org/10.1109/TPAMI.1984.4767550 https://www.wikidata.org/entity/Q48553683 db/journals/pami/pami6.html#DorstS84

Leo Dorst Robert P. W. Duin Spirograph Theory: A Framework for Calculations on Digitized Straight Lines. 632-639 1984 6 IEEE Trans. Pattern Anal. Mach. Intell. 5 https://doi.org/10.1109/TPAMI.1984.4767577 http://doi.ieeecomputersociety.org/10.1109/TPAMI.1984.4767577 https://www.wikidata.org/entity/Q48553196 db/journals/pami/pami6.html#DorstD84

N. Ahmed Marc Alexa D. Paul Benjamin Martin Bergman Rein van den Boomgaard Alec Cameron Chiara Eva Catalano Emiel P. M. Corten Judith Dijk Gijs Dubbelman Robert P. W. Duin David Eeelbode Hanan ElNaghy Isaac Esteban Daniel Fontijne Theo Gevers Frans C. A. Groen Rick Groenendijk Sorin Hermon Louis O. Hertzberger Dietmar Hildenbrand Alfons G. Hoekstra Atsushi Imiya Yusuke Kameda Steven De Keninck Reinhard Klette Ben J. A. Kröse Jose M. Lagerberg Michiel van Lambalgen Joan Lasenby Shérif Makram-Ebeid Indur Mandhyan Stephen Mann Stefano Modafferi Naoya Ohnishi Dominic Oldman Christian Perwass Stephen C. Phillips Henk Pijls Martin Roelfs Madeleine E. Rosar John G. M. Schavemaker Ilan Shimshoni Arnold W. M. Smeulders Michela Spagnuolo Ayellet Tal Karen Trovato Robert Valkenburg Piet W. Verbeek Ben J. H. Verwer Arnoud Visser Frans Voorbraak Paul W. Walland Yusheng Wang Hsiang-Lung Wu Hakan Yakali Marius Dorian Zaharia