Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Konaxis, Christos"'
We examine implicit representations of parametric or point cloud models, based on interpolation matrices, which are not sensitive to base points. We show how interpolation matrices can be used for ray shooting of a parametric ray with a surface patch
Externí odkaz:
http://arxiv.org/abs/1606.00789
Based on the computation of a superset of the implicit support, implicitization of a parametrically given hyper-surface is reduced to computing the nullspace of a numeric matrix. Our approach exploits the sparseness of the given parametric equations
Externí odkaz:
http://arxiv.org/abs/1411.2846
Publikováno v:
In Computer Aided Geometric Design October 2019 74
We derive tight expressions for the maximum number of $k$-faces, $0\le k\le d-1$, of the Minkowski sum, $P_1+P_2+P_3$, of three $d$-dimensional convex polytopes $P_1$, $P_2$ and $P_3$, as a function of the number of vertices of the polytopes, for any
Externí odkaz:
http://arxiv.org/abs/1211.6089
We design an algorithm to compute the Newton polytope of the resultant, known as resultant polytope, or its orthogonal projection along a given direction. The resultant is fundamental in algebraic elimination, optimization, and geometric modeling. Ou
Externí odkaz:
http://arxiv.org/abs/1108.5985
We consider polynomially and rationally parameterized curves, where the polynomials in the parameterization have fixed supports and generic coefficients. We apply sparse (or toric) elimination theory in order to determine the vertex representation of
Externí odkaz:
http://arxiv.org/abs/0811.0103
Publikováno v:
In Graphical Models November 2015 82:99-109
Publikováno v:
In Theoretical Computer Science 1 April 2013 479:81-98
Publikováno v:
In Computer-Aided Design February 2013 45(2):252-261
Autor:
Karavelas, Menelaos I.1 mkaravel@uoc.gr, Konaxis, Christos2 ckonaxis@acmac.uoc.gr, Tzanaki, Eleni3 etzanaki@uoc.gr
Publikováno v:
Journal of Computational Geometry. 2015, Vol. 6 Issue 1, p21-74. 54p.