Edit Profile (opens in new tab) Dorst, Leo Co-Author Distance Author ID: dorst.leo Published as: Dorst, Leo; Dorst, L. Documents Indexed: 24 Publications since 1984 2 Contributions as Editor Co-Authors: 15 Co-Authors with 15 Joint Publications 163 Co-Co-Authors all top 5 Co-Authors 11 single-authored 3 Smeulders, Arnold W. M. 2 Fontijne, Daniel 2 Lasenby, Joan 2 Valkenburg, Robert J. 2 van den Boomgaard, Rein 1 Bouma, Timaeus A. 1 Cibura, Carsten 1 Doran, Chris J. L. 1 Duin, Robert P. W. 1 Hrdina, Jaroslav 1 Makram-Ebeid, Sherif 1 Návrat, Aleš 1 Pijls, Henk G. J. 1 Schavemaker, John 1 Vašík, Petr all top 5 Serials 4 Advances in Applied Clifford Algebras 2 IEEE Transactions on Pattern Analysis and Machine Intelligence 1 Mathematical Methods in the Applied Sciences 1 Acta Applicandae Mathematicae 1 Journal of Mathematical Imaging and Vision 1 Mathematics in Computer Science all top 5 Fields 18 Computer science (68-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 10 Geometry (51-XX) 2 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Functions of a complex variable (30-XX) 1 Convex and discrete geometry (52-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 25 Publications have been cited 175 times in 130 Documents Cited by ▼ Year ▼ Discrete representation of straight lines. Zbl 0545.68097 Dorst, Leo; Smeulders, Arnold W. M. 25 1984 Square root and logarithm of rotors in 3D conformal geometric algebra using polar decomposition. Zbl 1290.68121 Dorst, Leo; Valkenburg, Robert 20 2011 The inner products of geometric algebra. Zbl 1160.51305 Dorst, Leo 14 2002 Decomposition of discrete curves into piecewise straight segments in linear time. Zbl 0732.68057 Smeulders, A. W. M.; Dorst, L. 11 1991 Guide to geometric algebra in practice. Zbl 1234.68004 10 2011 Efficient algorithms for factorization and join of blades. Zbl 1213.68649 Fontijne, Daniel; Dorst, Leo 10 2010 Spirograph theory: A framework for calculations on digitized straight lines. Zbl 0545.68098 Dorst, L.; Duin, R. P. W. 9 1984 3D oriented projective geometry through versors of \(\mathbb R^{3,3}\). Zbl 1379.51001 Dorst, Leo 9 2016 Estimating motors from a variety of geometric data in 3D conformal geometric algebra. Zbl 1290.68126 Valkenburg, Robert; Dorst, Leo 8 2011 Applications of geometric algebra in computer science and engineering. Papers from the conference, AGACSE 2001, Cambridge, UK, July 9–13, 2001. Zbl 1013.00022 7 2002 Honing geometric algebra for its use in the computer sciences. Zbl 1073.68846 Dorst, Leo 6 2001 The construction of 3D conformal motions. Zbl 1341.65006 Dorst, Leo 6 2016 Discrete straight line segments: Parameters, primitives, and properties. Zbl 0732.68105 Dorst, Leo; Smeulders, Arnold W. M. 5 1991 Total least squares fitting of \(k\)-spheres in \(n\)-D Euclidean space using an \((n+2)\)-D isometric representation. Zbl 1316.65022 Dorst, Leo 5 2014 Determining conformal transformations in from minimal correspondence data. Zbl 1227.15021 Cibura, Carsten; Dorst, Leo 4 2011 Quadratic structuring functions in mathematical morphology. Zbl 0918.68138 van den Boomgaard, Rein; Dorst, Leo; Makram-Ebeid, Sherif; Schavemaker, John 4 1996 Tutorial appendix: Structure preserving representation of Euclidean motions through conformal geometric algebra. Zbl 1290.68120 Dorst, Leo 4 2011 Boolean combination of circular arcs using orthogonal spheres. Zbl 1417.51014 Dorst, Leo 4 2019 Geometric algebra for subspace operations. Zbl 1022.15034 Bouma, T. A.; Dorst, L.; Pijls, H. G. J. 3 2002 Reconstructing rotations and rigid body motions from exact point correspondences through reflections. Zbl 1290.68123 Fontijne, Daniel; Dorst, Leo 3 2011 Discrete straight line segments: Parameters, primitives and properties. Zbl 0684.68115 Dorst, Leo 2 1989 Tutorial: structure-preserving representation of Euclidean motions through conformal geometric algebra. Zbl 1213.68648 Dorst, Leo 2 2010 Projective geometric algebra as a subalgebra of conformal geometric algebra. Zbl 1462.15028 Hrdina, Jaroslav; Návrat, Aleš; Vašík, Petr; Dorst, Leo 2 2021 The systems theory of contact. Zbl 0973.68615 Dorst, Leo; van den Boomgaard, Rein 1 2000 Conformal Villarceau rotors. Zbl 1417.51020 Dorst, Leo 1 2019 Projective geometric algebra as a subalgebra of conformal geometric algebra. Zbl 1462.15028 Hrdina, Jaroslav; Návrat, Aleš; Vašík, Petr; Dorst, Leo 2 2021 Boolean combination of circular arcs using orthogonal spheres. Zbl 1417.51014 Dorst, Leo 4 2019 Conformal Villarceau rotors. Zbl 1417.51020 Dorst, Leo 1 2019 3D oriented projective geometry through versors of \(\mathbb R^{3,3}\). Zbl 1379.51001 Dorst, Leo 9 2016 The construction of 3D conformal motions. Zbl 1341.65006 Dorst, Leo 6 2016 Total least squares fitting of \(k\)-spheres in \(n\)-D Euclidean space using an \((n+2)\)-D isometric representation. Zbl 1316.65022 Dorst, Leo 5 2014 Square root and logarithm of rotors in 3D conformal geometric algebra using polar decomposition. Zbl 1290.68121 Dorst, Leo; Valkenburg, Robert 20 2011 Guide to geometric algebra in practice. Zbl 1234.68004 10 2011 Estimating motors from a variety of geometric data in 3D conformal geometric algebra. Zbl 1290.68126 Valkenburg, Robert; Dorst, Leo 8 2011 Determining conformal transformations in from minimal correspondence data. Zbl 1227.15021 Cibura, Carsten; Dorst, Leo 4 2011 Tutorial appendix: Structure preserving representation of Euclidean motions through conformal geometric algebra. Zbl 1290.68120 Dorst, Leo 4 2011 Reconstructing rotations and rigid body motions from exact point correspondences through reflections. Zbl 1290.68123 Fontijne, Daniel; Dorst, Leo 3 2011 Efficient algorithms for factorization and join of blades. Zbl 1213.68649 Fontijne, Daniel; Dorst, Leo 10 2010 Tutorial: structure-preserving representation of Euclidean motions through conformal geometric algebra. Zbl 1213.68648 Dorst, Leo 2 2010 The inner products of geometric algebra. Zbl 1160.51305 Dorst, Leo 14 2002 Applications of geometric algebra in computer science and engineering. Papers from the conference, AGACSE 2001, Cambridge, UK, July 9–13, 2001. Zbl 1013.00022 7 2002 Geometric algebra for subspace operations. Zbl 1022.15034 Bouma, T. A.; Dorst, L.; Pijls, H. G. J. 3 2002 Honing geometric algebra for its use in the computer sciences. Zbl 1073.68846 Dorst, Leo 6 2001 The systems theory of contact. Zbl 0973.68615 Dorst, Leo; van den Boomgaard, Rein 1 2000 Quadratic structuring functions in mathematical morphology. Zbl 0918.68138 van den Boomgaard, Rein; Dorst, Leo; Makram-Ebeid, Sherif; Schavemaker, John 4 1996 Decomposition of discrete curves into piecewise straight segments in linear time. Zbl 0732.68057 Smeulders, A. W. M.; Dorst, L. 11 1991 Discrete straight line segments: Parameters, primitives, and properties. Zbl 0732.68105 Dorst, Leo; Smeulders, Arnold W. M. 5 1991 Discrete straight line segments: Parameters, primitives and properties. Zbl 0684.68115 Dorst, Leo 2 1989 Discrete representation of straight lines. Zbl 0545.68097 Dorst, Leo; Smeulders, Arnold W. M. 25 1984 Spirograph theory: A framework for calculations on digitized straight lines. Zbl 0545.68098 Dorst, L.; Duin, R. P. W. 9 1984 all cited Publications top 5 cited Publications all top 5 Cited by 199 Authors 8 Hitzer, Eckhard 7 Dorst, Leo 7 Feschet, Fabien 5 Coeurjolly, David 4 Cripps, Robert J. 4 Cross, Benjamin 4 Egeland, Olav 4 Hadfield, Hugo 4 Klette, Reinhard 4 Lachaud, Jacques-Olivier 4 Lasenby, Joan 4 Mann, Stephen 4 Mullineux, Glen 3 Andres, Eric 3 Breuils, Stéphane 3 Brimkov, Valentin E. 3 Fuchs, Laurent 3 Gérard, Yan 3 Hildenbrand, Dietmar 3 Lasenby, Anthony N. 3 Papagiannakis, George 3 Sivignon, Isabelle 3 Tingelstad, Lars 3 Vašík, Petr 2 Alves, Rafael 2 Baudrier, Étienne 2 Bhowmick, Partha 2 Chassery, Jean-Marc 2 Colapinto, Pablo 2 Damaschke, Peter 2 Dupont, Florent 2 Fernandes, Leandro Augusto Frata 2 Hrdina, Jaroslav 2 Kamarianakis, Manos 2 Largeteau-Skapin, Gaëlle 2 Lavor, Carlile Campos 2 Mazo, Loïc 2 Návrat, Aleš 2 Nozick, Vincent 2 Prodanov, Dimiter 2 Provençal, Xavier 2 Roelfs, Martin 2 Rosenfeld, Azriel 2 Rosenhahn, Bodo 2 Said, Mouhammad 2 Schröcker, Hans-Peter 2 Shirokov, Dmitry S. 2 Sobczyk, Garret E. 2 Sommer, Gerald 2 Steinmetz, Christian 2 Sugimoto, Akihiro 2 Uscka-Wehlou, Hanna 2 Vaz, Jayme jun. 1 Abdulkhaev, Kamron 1 Abłamowicz, Rafał 1 Achawal, Sushant 1 Acus, Arturas 1 Aerts, Diederik Emiel 1 Aguilar-Orduna, Mario Andres 1 Ahmad, Daud 1 Ambrus, Gergely 1 Angulo, Jesús 1 Babin, Anatoli V. 1 Bárány, Imre 1 Barat, Cécile 1 Bhattacharya, Bhargab Bikram 1 Biswas, Arindam 1 Bliokh, Konstantin Yu. 1 Bongardt, Bertold 1 Borgefors, Gunilla 1 Bouma, Timaeus A. 1 Brlek, Srečko 1 Bruckstein, Alfred Marcel 1 Byrtus, Roman 1 Camargo, Valter S. 1 Castelani, Emerson Vitor 1 Charrier, Emilie 1 Chrysovergis, Ilias 1 Cibura, Carsten 1 Cohen, Trevor 1 Crooks, Elaine C. M. 1 Czachor, Marek 1 Dargys, Adolfas 1 Daurat, Alain 1 De Keninck, Steven 1 De Moor, Bart L. R. 1 de Salles Neto, Luiz Leduíno 1 Derevianko, Anna 1 Dexet, Martine 1 Dong, Lei 1 Doran, Chris J. L. 1 Dressel, Justin 1 Druoton, Lucie 1 Du, Juan 1 Ducottet, Christophe 1 Dudal, David 1 Dutt, Mousumi 1 Eid, Ahmad Hosny 1 Farouki, Rida T. 1 Feito, Francisco R. ...and 99 more Authors all top 5 Cited in 33 Serials 55 Advances in Applied Clifford Algebras 11 Discrete Applied Mathematics 6 Journal of Mathematical Imaging and Vision 4 Theoretical Computer Science 4 Pattern Recognition 3 Computer Aided Geometric Design 2 Mathematical Methods in the Applied Sciences 2 Information Sciences 2 Journal of Computational and Applied Mathematics 1 Modern Physics Letters A 1 Journal of Mathematical Physics 1 Physics Reports 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Journal of Computer and System Sciences 1 Journal of Mathematical Psychology 1 Transactions of the American Mathematical Society 1 Algorithmica 1 Journal of Automated Reasoning 1 The Visual Computer 1 SIAM Journal on Discrete Mathematics 1 The Annals of Applied Probability 1 Applied Mathematical Modelling 1 The Journal of Artificial Intelligence Research (JAIR) 1 PAA. Pattern Analysis and Applications 1 Complex Variables and Elliptic Equations 1 Mathematics in Computer Science 1 SIAM Journal on Imaging Sciences 1 Advances in Mathematical Physics 1 Proceedings of the International Geometry Center 1 Mathematics for Applications 1 Computational and Mathematical Biophysics 1 Communications on Applied Mathematics and Computation all top 5 Cited in 34 Fields 63 Computer science (68-XX) 61 Linear and multilinear algebra; matrix theory (15-XX) 24 Geometry (51-XX) 18 Numerical analysis (65-XX) 11 Convex and discrete geometry (52-XX) 9 Differential geometry (53-XX) 8 Number theory (11-XX) 7 Combinatorics (05-XX) 7 Mechanics of particles and systems (70-XX) 7 Information and communication theory, circuits (94-XX) 5 Quantum theory (81-XX) 3 Group theory and generalizations (20-XX) 3 Optics, electromagnetic theory (78-XX) 3 Operations research, mathematical programming (90-XX) 2 Algebraic geometry (14-XX) 2 Associative rings and algebras (16-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Partial differential equations (35-XX) 2 Statistics (62-XX) 2 Relativity and gravitational theory (83-XX) 2 Biology and other natural sciences (92-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year