Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Lucie Druoton"'
Publikováno v:
WSEAS TRANSACTIONS ON MATHEMATICS. 21:285-302
The use of mass points eases the definition of a branch of a hyperbola in the Euclidean plane based on a Rational Quadratic Bézier Curve. In the space of spheres, any circular cone, circular cylinder, torus, pencil of spheres or Dupin cyclide is rep
Publikováno v:
WSEAS TRANSACTIONS ON MATHEMATICS. 20:756-776
This paper shows the same algorithm is used for subdivisions of Dupin cyclides with singular points and quadratic Bézier curves passing through infinity. The mass points are usefull for any quadratic Bézier representation of a parabola or an hyperb
Publikováno v:
WSEAS Transactions on Mathematics
WSEAS Transactions on Mathematics, World Scientific and Engineering Academy and Society (WSEAS), 2021, 20, pp.581-597. ⟨10.37394/23206.2021.20.62⟩
WSEAS Transactions on Mathematics, World Scientific and Engineering Academy and Society (WSEAS), 2021, 20, pp.581-597. ⟨10.37394/23206.2021.20.62⟩
Dupin cyclides are algebraic surfaces introduced for the first time in 1822 by the French mathematician Pierre-Charles Dupin. A Dupin cyclide can be defined as the envelope of a one-parameter family of oriented spheres, in two different ways. R. Mart
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9caca3e66fa11ff9470e81cb30e2b8d0
https://hal-univ-bourgogne.archives-ouvertes.fr/hal-03521704
https://hal-univ-bourgogne.archives-ouvertes.fr/hal-03521704
Publikováno v:
Encyclopedia of Computer Graphics and Games
Encyclopedia of Computer Graphics and Games, Springer International Publishing, pp.1-10, 2019, ⟨10.1007/978-3-319-08234-9_381-1⟩
Encyclopedia of Computer Graphics and Games ISBN: 9783319082349
Encyclopedia of Computer Graphics and Games, Springer International Publishing, pp.1-10, 2019, ⟨10.1007/978-3-319-08234-9_381-1⟩
Encyclopedia of Computer Graphics and Games ISBN: 9783319082349
International audience
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d6a89541dbb0a2512b38d64d4ad20980
https://hal-univ-bourgogne.archives-ouvertes.fr/hal-03521746
https://hal-univ-bourgogne.archives-ouvertes.fr/hal-03521746
Publikováno v:
SITIS
We work with tomographic images of pore space in soil. The images have large dimensions and so in order to speed-up biological simulations (as drainage or diffusion process in soil), we want to describe the pore space with a number of geometrical pri
Publikováno v:
Encyclopedia of Computer Graphics and Games
Lee, Newton. Encyclopedia of Computer Graphics and Games, Springer, pp.1--17, 2018, 978-3-319-08234-9. ⟨10.1007/978-3-319-08234-9_111-1⟩
Encyclopedia of Computer Graphics and Games ISBN: 9783319082349
Lee, Newton. Encyclopedia of Computer Graphics and Games, Springer, pp.1--17, 2018, 978-3-319-08234-9. ⟨10.1007/978-3-319-08234-9_111-1⟩
Encyclopedia of Computer Graphics and Games ISBN: 9783319082349
International audience
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7b607304b5190907ca68a55f5881b5ac
https://hal.archives-ouvertes.fr/hal-02983164
https://hal.archives-ouvertes.fr/hal-02983164
Publikováno v:
Computer Aided Geometric Design
Computer Aided Geometric Design, Elsevier, 2017, 54, pp.15-34. ⟨10.1016/j.cagd.2017.04.003⟩
Computer Aided Geometric Design, Elsevier, 2017, 54, pp.15-34. 〈10.1016/j.cagd.2017.04.003〉
Computer Aided Geometric Design, Elsevier, 2017, 54, pp.15-34. ⟨10.1016/j.cagd.2017.04.003⟩
Computer Aided Geometric Design, Elsevier, 2017, 54, pp.15-34. 〈10.1016/j.cagd.2017.04.003〉
The paper aims to connect the Bezier curves domain to another known as the Minkowski–Lorentz space for CAGD purposes. The paper details these connections. It provides new algorithms for surface representations and surfaces joining. Some G 1 -blends
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::63a2ca68a7fed05417fd4f9624b9a2be
https://hal-univ-bourgogne.archives-ouvertes.fr/hal-01562030
https://hal-univ-bourgogne.archives-ouvertes.fr/hal-01562030
Publikováno v:
Computational and Applied Mathematics. 34:275-292
Dupin cyclides form a 9-dimensional set of surfaces which are, from the viewpoint of differential geometry, the simplest after planes and spheres. We prove here that, given three oriented contact conditions, there is in general no Dupin cyclide satis
Publikováno v:
International Journal of Computer Mathematics. 91:641-660
We study blends between canal surfaces using Dupin cyclides via the space of spheres. We have already studied the particular case where it is possible to blend two canal surfaces using one piece of Dupin cyclide bounded by two characteristic circles,
Publikováno v:
Computer-Aided Design
Computer-Aided Design, 2012, 45 (2), pp.568-573. ⟨10.1016/j.cad.2012.10.042⟩
Computer-Aided Design, Elsevier, 2012, http://www.elsevier.com/locate/cad
Computer-Aided Design, 2012, 45 (2), pp.568-573. ⟨10.1016/j.cad.2012.10.042⟩
Computer-Aided Design, Elsevier, 2012, http://www.elsevier.com/locate/cad
International audience; A Dupin cyclide can be defined, in two different ways, as the envelope of an one-parameter family of oriented spheres. Each family of spheres can be seen as a conic in the space of spheres. In this paper, we propose an algorit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b89dd0975fa665cf6785245983c8f94c
https://u-bourgogne.hal.science/hal-00785315
https://u-bourgogne.hal.science/hal-00785315