Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Stéphane Breuils"'
Publikováno v:
Lecture Notes in Computer Science ISBN: 9783031309229
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0f6479dc76a779ab7151d38df3c9acb1
https://doi.org/10.1007/978-3-031-30923-6_4
https://doi.org/10.1007/978-3-031-30923-6_4
Publikováno v:
Lecture Notes in Computer Science ISBN: 9783030766566
DGMM
International Conference on Discrete Geometry and Mathematical Morphology
International Conference on Discrete Geometry and Mathematical Morphology, May 2021, Uppsala (virtuel), Sweden. pp.242-254, ⟨10.1007/978-3-030-76657-3_17⟩
DGMM
International Conference on Discrete Geometry and Mathematical Morphology
International Conference on Discrete Geometry and Mathematical Morphology, May 2021, Uppsala (virtuel), Sweden. pp.242-254, ⟨10.1007/978-3-030-76657-3_17⟩
International audience; Geometric algebra has become popularly used in applications dealing with geometry. This framework allows us to reformulate and redefine problems involving geometric transformations in a more intuitive and general way. In this
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::abf3c51a4a8bb3f8aa9f37072856c8ac
https://doi.org/10.1007/978-3-030-76657-3_17
https://doi.org/10.1007/978-3-030-76657-3_17
Publikováno v:
Computer Graphics International Conference
Computer Graphics International Conference, Oct 2020, Geneva, Switzerland. pp.492-500
CGI 2020
CGI 2020, Oct 2020, Geneva, Switzerland. pp.492-500, ⟨10.1007/978-3-030-61864-3_42⟩
Advances in Computer Graphics ISBN: 9783030618636
CGI
Computer Graphics International Conference, Oct 2020, Geneva, Switzerland. pp.492-500
CGI 2020
CGI 2020, Oct 2020, Geneva, Switzerland. pp.492-500, ⟨10.1007/978-3-030-61864-3_42⟩
Advances in Computer Graphics ISBN: 9783030618636
CGI
International audience; Manipulating objects using geometric algebra may involve several associative products in a single expression. For example, an object can be constructed by the outer product of multiple points. This number of products can be sm
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::327be14edf54fa0ffa5103e4054a6326
https://hal.archives-ouvertes.fr/hal-03168974
https://hal.archives-ouvertes.fr/hal-03168974
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:
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
Publikováno v:
Advances in Applied Clifford Algebras. 28
Geometric Algebra can be understood as a set of tools to represent, construct and transform geometric objects. Some Geometric Algebras like the well-studied Conformal Geometric Algebra constructs lines, circles, planes, and spheres from control point