Edit Profile (opens in new tab) Fuchs, Laurent Co-Author Distance Author ID: fuchs.laurent Published as: Fuchs, Laurent Documents Indexed: 22 Publications since 2005 2 Contributions as Editor · 1 Further Contribution Co-Authors: 29 Co-Authors with 23 Joint Publications 264 Co-Co-Authors all top 5 Co-Authors 1 single-authored 8 Andres, Eric 7 Largeteau-Skapin, Gaëlle 6 Chollet, Agathe 6 Wallet, Guy 4 Richard, Aurélie 3 Breuils, Stéphane 3 Lienhardt, Pascal 3 Nozick, Vincent 3 Peltier, Samuel 2 Aveneau, Lilian 2 Charneau, Sylvain 2 Magaud, Nicolas 2 Théry, Laurent 1 Alayrangues, Sylvie 1 Bellman, Richard Ernest 1 Berthier, Michel 1 Bertrand, Yves 1 Da Col-Jacob, Marie-Andrée 1 Druoton, Lucie 1 Feit, Walter 1 Garnier, Lionel 1 Hall, Carl Alan 1 Hitzer, Eckhard 1 Kalman, Rudolf Emil 1 Lachaud, Jacques-Olivier 1 Langevin, Rémi 1 Lax, Peter David 1 Mac Lane, Leslie Saunders 1 Mazo, Loïc 1 Moore, Marion E. 1 Mora, Frederic 1 Ouattara, Jean-Serge Dimitri 1 Rodríguez, Marc 1 Saint-Jean, Christophe 1 Skapin, Gaëlle 1 Sugimoto, Akihiro 1 Tarwater, Dalton 1 Taussky-Todd, Olga 1 Ulam, Stanisław Marcin 1 White, John Thomas all top 5 Serials 6 Advances in Applied Clifford Algebras 1 Discrete Applied Mathematics 1 Theoretical Computer Science 1 MSCS. Mathematical Structures in Computer Science 1 Pattern Recognition 1 Annals of Mathematics and Artificial Intelligence 1 Mathematics Series. Texas Tech University 1 CNRS Alpha all top 5 Fields 18 Computer science (68-XX) 8 Mathematical logic and foundations (03-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Numerical analysis (65-XX) 4 Convex and discrete geometry (52-XX) 2 General and overarching topics; collections (00-XX) 2 Geometry (51-XX) 2 Differential geometry (53-XX) 2 Algebraic topology (55-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 18 Publications have been cited 80 times in 49 Documents Cited by ▼ Year ▼ Garamon: a geometric algebra library generator. Zbl 1422.68329 Breuils, Stéphane; Nozick, Vincent; Fuchs, Laurent 10 2019 Implementing geometric algebra products with binary trees. Zbl 1311.68147 Fuchs, Laurent; Théry, Laurent 9 2014 A formalization of Grassmann-Cayley algebra in Coq and its application to theorem proving in projective geometry. Zbl 1350.68233 Fuchs, Laurent; Théry, Laurent 8 2011 A geometric algebra implementation using binary tree. Zbl 1382.65051 Breuils, Stéphane; Nozick, Vincent; Fuchs, Laurent 7 2017 Insight in discrete geometry and computational content of a discrete model of the continuum. Zbl 1178.68614 Chollet, Agathe; Wallet, Guy; Fuchs, Laurent; Largeteau-Skapin, Gaëlle; Andres, Eric 6 2009 Formalizing a discrete model of the continuum in Coq from a discrete geometry perspective. Zbl 1326.03074 Magaud, Nicolas; Chollet, Agathe; Fuchs, Laurent 6 2015 A first look into a formal and constructive approach for discrete geometry using nonstandard analysis. Zbl 1138.68594 Fuchs, Laurent; Largeteau-Skapin, Gaëlle; Wallet, Guy; Andres, Eric; Chollet, Agathe 5 2008 \(\Omega\)-arithmetization: a discrete multi-resolution representation of real functions. Zbl 1267.68265 Chollet, Agathe; Wallet, Guy; Fuchs, Laurent; Andres, Eric; Largeteau-Skapin, Gaëlle 5 2009 Computation of homology groups and generators. Zbl 1119.68209 Peltier, Samuel; Alayrangues, Sylvie; Fuchs, Laurent; Lachaud, Jacques-Olivier 4 2005 Simploidals sets: Definitions, operations and comparison with simplicial sets. Zbl 1189.05175 Peltier, Samuel; Fuchs, Laurent; Lienhardt, Pascal 4 2009 \(\Omega \)-arithmetization of ellipses. Zbl 1272.68425 Chollet, Agathe; Wallet, Guy; Andres, Eric; Fuchs, Laurent; Largeteau-Skapin, Gaëlle; Richard, Aurélie 3 2010 Foundational aspects of multiscale digitization. Zbl 1262.68172 Chollet, Agathe; Wallet, Guy; Fuchs, Laurent; Andres, Eric; Largeteau-Skapin, Gaëlle 3 2012 An algorithm to decompose \(n\)-dimensional rotations into planar rotations. Zbl 1278.68317 Richard, Aurélie; Fuchs, Laurent; Charneau, Sylvain 2 2010 Arithmetization of a circular arc. Zbl 1261.65025 Richard, Aurélie; Wallet, Guy; Fuchs, Laurent; Andres, Eric; Largeteau-Skapin, Gaëlle 2 2009 Digital geometry from a geometric algebra perspective. Zbl 1417.68223 Aveneau, Lilian; Fuchs, Laurent; Andres, Eric 2 2014 The non-degenerate Dupin cyclides in the space of spheres using geometric algebra. Zbl 1301.65015 Druoton, Lucie; Fuchs, Laurent; Garnier, Lionel; Langevin, Rémi 2 2014 A framework for \(n\)-dimensional visibility computations. Zbl 1290.68117 Aveneau, Lilian; Charneau, Sylvain; Fuchs, Laurent; Mora, Frederic 1 2011 Three-dimensional quadrics in extended conformal geometric algebras of higher dimensions from control points, implicit equations and axis alignment. Zbl 1453.51010 Breuils, Stéphane; Fuchs, Laurent; Hitzer, Eckhard; Nozick, Vincent; Sugimoto, Akihiro 1 2019 Garamon: a geometric algebra library generator. Zbl 1422.68329 Breuils, Stéphane; Nozick, Vincent; Fuchs, Laurent 10 2019 Three-dimensional quadrics in extended conformal geometric algebras of higher dimensions from control points, implicit equations and axis alignment. Zbl 1453.51010 Breuils, Stéphane; Fuchs, Laurent; Hitzer, Eckhard; Nozick, Vincent; Sugimoto, Akihiro 1 2019 A geometric algebra implementation using binary tree. Zbl 1382.65051 Breuils, Stéphane; Nozick, Vincent; Fuchs, Laurent 7 2017 Formalizing a discrete model of the continuum in Coq from a discrete geometry perspective. Zbl 1326.03074 Magaud, Nicolas; Chollet, Agathe; Fuchs, Laurent 6 2015 Implementing geometric algebra products with binary trees. Zbl 1311.68147 Fuchs, Laurent; Théry, Laurent 9 2014 Digital geometry from a geometric algebra perspective. Zbl 1417.68223 Aveneau, Lilian; Fuchs, Laurent; Andres, Eric 2 2014 The non-degenerate Dupin cyclides in the space of spheres using geometric algebra. Zbl 1301.65015 Druoton, Lucie; Fuchs, Laurent; Garnier, Lionel; Langevin, Rémi 2 2014 Foundational aspects of multiscale digitization. Zbl 1262.68172 Chollet, Agathe; Wallet, Guy; Fuchs, Laurent; Andres, Eric; Largeteau-Skapin, Gaëlle 3 2012 A formalization of Grassmann-Cayley algebra in Coq and its application to theorem proving in projective geometry. Zbl 1350.68233 Fuchs, Laurent; Théry, Laurent 8 2011 A framework for \(n\)-dimensional visibility computations. Zbl 1290.68117 Aveneau, Lilian; Charneau, Sylvain; Fuchs, Laurent; Mora, Frederic 1 2011 \(\Omega \)-arithmetization of ellipses. Zbl 1272.68425 Chollet, Agathe; Wallet, Guy; Andres, Eric; Fuchs, Laurent; Largeteau-Skapin, Gaëlle; Richard, Aurélie 3 2010 An algorithm to decompose \(n\)-dimensional rotations into planar rotations. Zbl 1278.68317 Richard, Aurélie; Fuchs, Laurent; Charneau, Sylvain 2 2010 Insight in discrete geometry and computational content of a discrete model of the continuum. Zbl 1178.68614 Chollet, Agathe; Wallet, Guy; Fuchs, Laurent; Largeteau-Skapin, Gaëlle; Andres, Eric 6 2009 \(\Omega\)-arithmetization: a discrete multi-resolution representation of real functions. Zbl 1267.68265 Chollet, Agathe; Wallet, Guy; Fuchs, Laurent; Andres, Eric; Largeteau-Skapin, Gaëlle 5 2009 Simploidals sets: Definitions, operations and comparison with simplicial sets. Zbl 1189.05175 Peltier, Samuel; Fuchs, Laurent; Lienhardt, Pascal 4 2009 Arithmetization of a circular arc. Zbl 1261.65025 Richard, Aurélie; Wallet, Guy; Fuchs, Laurent; Andres, Eric; Largeteau-Skapin, Gaëlle 2 2009 A first look into a formal and constructive approach for discrete geometry using nonstandard analysis. Zbl 1138.68594 Fuchs, Laurent; Largeteau-Skapin, Gaëlle; Wallet, Guy; Andres, Eric; Chollet, Agathe 5 2008 Computation of homology groups and generators. Zbl 1119.68209 Peltier, Samuel; Alayrangues, Sylvie; Fuchs, Laurent; Lachaud, Jacques-Olivier 4 2005 all cited Publications top 5 cited Publications all top 5 Cited by 84 Authors 9 Fuchs, Laurent 6 Breuils, Stéphane 5 Hitzer, Eckhard 5 Nozick, Vincent 4 Peltier, Samuel 4 Sugimoto, Akihiro 3 Andres, Eric 3 Bhowmick, Partha 3 Chollet, Agathe 3 Largeteau-Skapin, Gaëlle 3 Lienhardt, Pascal 3 Magaud, Nicolas 3 Real, Pedro 3 Wallet, Guy 2 Alayrangues, Sylvie 2 Bac, Alexandra 2 Boutry, Pierre 2 Coghetto, Roland 2 Damiand, Guillaume 2 Eid, Ahmad Hosny 2 Gonzalez-Lorenzo, Aldo 2 Mari, Jean-Luc 2 Mazo, Loïc 2 Narboux, Julien 2 Schreck, Pascal 1 Achawal, Sushant 1 Aholou, Damien 1 Berciano-Alcaraz, Ainhoa 1 Bhattacharya, Bhargab Bikram 1 Biswas, Ranita 1 Braun, David J. 1 Braun, Gabriel 1 Cibura, Carsten 1 Colapinto, Pablo 1 Constantin, Elena 1 Da Col-Jacob, Marie-Andrée 1 Dorst, Leo 1 Esquivel, J. C. Zamora 1 Fernandes, Leandro Augusto Frata 1 Fleuriot, Jacques D. 1 Gabrielli, Andrea 1 Génevaux, Jean-David 1 Gevorkyan, Migran N. 1 Guan, Yong 1 Hadfield, Hugo 1 Imiya, Atsushi 1 Juda, Mateusz 1 Kenmochi, Yukiko 1 Korolkova, Anna V. 1 Kulyabov, Dmitriĭ Sergeevich 1 Kuroe, Yasuaki 1 Lasenby, Anthony N. 1 Lasenby, Joan 1 Li, Dongshuang 1 Li, Liming 1 Li, Yongdong 1 Luo, Wen 1 Maggesi, Marco 1 Marić, Filip 1 Molina-Abril, Helena 1 Morin, Géraldine 1 Nitta, Tohru 1 Pacheco, Ana María 1 Pal, Shyamosree 1 Pavel, Nicolae H. 1 Pilarczyk, Paweł 1 Quaresma, Pedro 1 Richard, Aurélie 1 Sato, Kosuke 1 Shi, Zhiping 1 Simić, Danijela 1 Skapin, Gaëlle 1 Song, Utensil 1 Sousa, Eduardo Vera 1 Tachibana, Kanta 1 Théry, Laurent 1 Thibault, Yohan 1 Wieser, Eric 1 Young, Benjamin J. 1 Yu, Zhaoyuan 1 Yuan, Linwang 1 Yuan, Shuai 1 Zhang, Qianying 1 Zhu, Shuai all top 5 Cited in 17 Serials 17 Advances in Applied Clifford Algebras 3 Journal of Mathematical Imaging and Vision 2 Theoretical Computer Science 2 Journal of Automated Reasoning 2 Annals of Mathematics and Artificial Intelligence 2 Formalized Mathematics 1 Mathematical Methods in the Applied Sciences 1 Programming and Computer Software 1 Topology and its Applications 1 Computer Aided Geometric Design 1 Journal of Symbolic Computation 1 Discrete & Computational Geometry 1 MSCS. Mathematical Structures in Computer Science 1 Pattern Recognition 1 African Diaspora Journal of Mathematics 1 Mathematics in Computer Science 1 Journal of Linear and Topological Algebra all top 5 Cited in 18 Fields 34 Computer science (68-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 10 Mathematical logic and foundations (03-XX) 9 Geometry (51-XX) 8 Numerical analysis (65-XX) 4 Number theory (11-XX) 4 Algebraic topology (55-XX) 3 Convex and discrete geometry (52-XX) 3 Information and communication theory, circuits (94-XX) 2 Algebraic geometry (14-XX) 2 Functions of a complex variable (30-XX) 2 Differential geometry (53-XX) 2 Operations research, mathematical programming (90-XX) 1 Combinatorics (05-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of particles and systems (70-XX) 1 Mathematics education (97-XX) Citations by Year