Edit Profile (opens in new tab) Garnier, Lionel Co-Author Distance Author ID: garnier.lionel Published as: Garnier, Lionel Documents Indexed: 13 Publications since 1998, including 1 Book Co-Authors: 13 Co-Authors with 10 Joint Publications 120 Co-Co-Authors all top 5 Co-Authors 3 single-authored 4 Druoton, Lucie 4 Foufou, Sebti 3 Langevin, Rémi 2 Faudot, Dominique 1 Barki, Hichem 1 Bécar, Jean-Paul 1 Fuchs, Laurent 1 Gesquière, Gilles 1 Neveu, Marc 1 Paluszny, Marco 1 Pratt, Michael J. 1 Puech, Loic 1 Sifre, Jean-Claude all top 5 Serials 1 Computers & Mathematics with Applications 1 Journal of Algebra 1 Rendiconti del Seminario Matematico della Università di Padova 1 Computer Aided Geometric Design 1 International Journal of Computational Geometry & Applications 1 International Journal of Computer Mathematics 1 Computational and Applied Mathematics 1 Advances in Applied Clifford Algebras 1 International Journal of Pure and Applied Mathematics all top 5 Fields 10 Numerical analysis (65-XX) 3 Algebraic geometry (14-XX) 3 Geometry (51-XX) 3 Computer science (68-XX) 2 Field theory and polynomials (12-XX) 2 Differential geometry (53-XX) 1 Measure and integration (28-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 7 Publications have been cited 13 times in 11 Documents Cited by ▼ Year ▼ Explicit Frobenius descent for \({\mathcal D}^\dagger\)-modules. (Descente par Frobenius explicite pour les \({\mathcal D}^\dagger\)-modules.) Zbl 0926.12006 Garnier, L. 6 1998 Conversion of Dupin cyclide patches into rational biquadratic Bézier form. Zbl 1141.65339 Foufou, Sebti; Garnier, Lionel; Pratt, Michael J. 4 2005 Blending canal surfaces along given circles using Dupin cyclides. Zbl 1297.68237 Druoton, Lucie; Langevin, Rémi; Garnier, Lionel 3 2014 Mathematics for geometric modeling, 3D representation and image synthesis. (Mathématiques pour la modélisation géométrique, la représentation 3D et la synthèse d’images.) Zbl 1329.68002 Garnier, Lionel 3 2007 Descent of isocrystals and \({\mathcal D}^†\)-modules. (Descente des isocristaux et \({\mathcal D}^†\)-modules.) Zbl 0945.14009 Garnier, L. 2 1998 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 Finding a cyclide given three contact conditions. Zbl 1314.65025 Langevin, Rémi; Sifre, Jean-Claude; Druoton, Lucie; Garnier, Lionel; Paluszny, Marco 1 2015 Finding a cyclide given three contact conditions. Zbl 1314.65025 Langevin, Rémi; Sifre, Jean-Claude; Druoton, Lucie; Garnier, Lionel; Paluszny, Marco 1 2015 Blending canal surfaces along given circles using Dupin cyclides. Zbl 1297.68237 Druoton, Lucie; Langevin, Rémi; Garnier, Lionel 3 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 Mathematics for geometric modeling, 3D representation and image synthesis. (Mathématiques pour la modélisation géométrique, la représentation 3D et la synthèse d’images.) Zbl 1329.68002 Garnier, Lionel 3 2007 Conversion of Dupin cyclide patches into rational biquadratic Bézier form. Zbl 1141.65339 Foufou, Sebti; Garnier, Lionel; Pratt, Michael J. 4 2005 Explicit Frobenius descent for \({\mathcal D}^\dagger\)-modules. (Descente par Frobenius explicite pour les \({\mathcal D}^\dagger\)-modules.) Zbl 0926.12006 Garnier, L. 6 1998 Descent of isocrystals and \({\mathcal D}^†\)-modules. (Descente des isocristaux et \({\mathcal D}^†\)-modules.) Zbl 0945.14009 Garnier, L. 2 1998 all cited Publications top 5 cited Publications all top 5 Cited by 23 Authors 3 Garnier, Lionel 2 Bez, Helmut E. 2 Druoton, Lucie 2 Jia, Xiaohong 1 Barki, Hichem 1 Bécar, Jean-Paul 1 Breuils, Stéphane 1 Colapinto, Pablo 1 Foufou, Sebti 1 Hertrich-Jeromin, Udo J. 1 Hitzer, Eckhard 1 Jadczyk, Arkadiusz 1 Langevin, Rémi 1 Mourrain, Bernard 1 Paluszny, Marco 1 Puech, Loic 1 Rossman, Wayne 1 Sifre, Jean-Claude 1 Szewieczek, Gudrun 1 Tachibana, Kanta 1 Tu, Changhe 1 Wang, Wenping 1 Zhao, Mingyang all top 5 Cited in 7 Serials 4 Computer Aided Geometric Design 2 Advances in Applied Clifford Algebras 1 Computers & Mathematics with Applications 1 Reports on Mathematical Physics 1 Mathematische Zeitschrift 1 International Journal of Computer Mathematics 1 Computational and Applied Mathematics all top 5 Cited in 13 Fields 8 Numerical analysis (65-XX) 4 Differential geometry (53-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Algebraic geometry (14-XX) 2 Geometry (51-XX) 2 Computer science (68-XX) 1 Number theory (11-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year