Zobrazeno 1 - 10
of 102
pro vyhledávání: '"Laurent Fuchs"'
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:
Proceedings of the 18th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications.
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:
Mathematical Structures in Computer Science
Mathematical Structures in Computer Science, 2022, ⟨10.1017/S0960129522000342⟩
Mathematical Structures in Computer Science, 2022, ⟨10.1017/S0960129522000342⟩
The paper describes three models of the real field based on subsets of the integer sequences. The three models are compared to the Harthong–Reeb line. Two of the new models, contrary to the Harthong–Reeb line, provide accurate integer “views”
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9333b56e5fb428c677876c6fd9702523
https://hal.archives-ouvertes.fr/hal-03276295/file/main.pdf
https://hal.archives-ouvertes.fr/hal-03276295/file/main.pdf
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:
Advances in Applied Clifford Algebras
Advances in Applied Clifford Algebras, Springer Verlag, 2017, 1, pp.1-19. ⟨10.1007/s00006-017-0770-6⟩
Advances in Applied Clifford Algebras, 2017, 1, pp.1-19. ⟨10.1007/s00006-017-0770-6⟩
Advances in Applied Clifford Algebras, Springer Verlag, 2017, 1, pp.1-19. ⟨10.1007/s00006-017-0770-6⟩
Advances in Applied Clifford Algebras, 2017, 1, pp.1-19. ⟨10.1007/s00006-017-0770-6⟩
International audience; This paper presents an efficient implementation of geometric algebra, based on a recursive representation of the algebra elements using binary trees. The proposed approach consists in restructuring a state of the art recursive
Publikováno v:
Advances in Applied Clifford Algebras
Advances in Applied Clifford Algebras, Springer Verlag, 2019, 29 (4), ⟨10.1007/s00006-019-0987-7⟩
Advances in Applied Clifford Algebras, Springer Verlag, 2019, 29 (4), ⟨10.1007/s00006-019-0987-7⟩
International audience; This paper presents both a recursive scheme to perform Geometric Algebra operations over a prefix tree, and Garamon, a C++ library generator implementing these recursive operations. While for low dimension vector spaces, preco
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5954a27913fafb4886d17b3df1f3a6a7
https://hal.archives-ouvertes.fr/hal-02196173/file/main.pdf
https://hal.archives-ouvertes.fr/hal-02196173/file/main.pdf
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:
Advances in Applied Clifford Algebras
Advances in Applied Clifford Algebras, Springer Verlag, 2019, 29 (3), ⟨10.1007/s00006-019-0974-z⟩
Advances in Applied Clifford Algebras, Springer Verlag, 2019, 29 (3), ⟨10.1007/s00006-019-0974-z⟩
We introduce the quadric conformal geometric algebra inside the algebra of $${\mathbb {R}}^{9,6}$$ . In particular, this paper presents how three-dimensional quadratic surfaces can be defined by the outer product of conformal geometric algebra points
Publikováno v:
Advances in Computer Graphics
Computer Graphics International (CGI2019)
Computer Graphics International (CGI2019), Jun 2019, Calgary, Canada
Advances in Computer Graphics ISBN: 9783030225131
CGI
Computer Graphics International (CGI2019)
Computer Graphics International (CGI2019), Jun 2019, Calgary, Canada
Advances in Computer Graphics ISBN: 9783030225131
CGI
Quadratic surfaces gain more and more attention in the geometric algebra community and some frameworks to represent, transform, and intersect these quadratic surfaces have been proposed. To the best of our knowledge, however, no framework has yet pro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::003a89cd92a2fec9fcdba901c38feec3
https://hal.archives-ouvertes.fr/hal-02050767v3/document
https://hal.archives-ouvertes.fr/hal-02050767v3/document