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» Polynomial Reproduction in Subdivision
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EJC
2007
13 years 8 months ago
Link complexes of subspace arrangements
Abstract. Given a simplicial hyperplane arrangement H and a subspace arrangement A embedded in H, we define a simplicial complex ∆A,H as the subdivision of the link of A induced...
Axel Hultman
CAGD
2008
99views more  CAGD 2008»
13 years 8 months ago
Topology and arrangement computation of semi-algebraic planar curves
We describe a new subdivision method to efficiently compute the topology and the arrangement of implicit planar curves. We emphasize that the output topology and arrangement are g...
Lionel Alberti, Bernard Mourrain, Julien Wintz
CAGD
2004
82views more  CAGD 2004»
13 years 8 months ago
NUAT B-spline curves
This paper presents a new kind of splines, called non-uniform algebraic-trigonometric B-splines (NUAT B-splines), generated over the space spanned by {1,t,...,tk-3,cost,sint} in w...
Guozhao Wang, Qinyu Chen, Minghua Zhou
WADS
2007
Springer
184views Algorithms» more  WADS 2007»
14 years 2 months ago
A Pseudopolynomial Time O (log n )-Approximation Algorithm for Art Gallery Problems
In this paper, we give a O(log copt)-approximation algorithm for the point guard problem where copt is the optimal number of guards. Our algorithm runs in time polynomial in n, the...
Ajay Deshpande, Taejung Kim, Erik D. Demaine, Sanj...
IMAMS
2007
157views Mathematics» more  IMAMS 2007»
13 years 10 months ago
Regularity Criteria for the Topology of Algebraic Curves and Surfaces
In this paper, we consider the problem of analysing the shape of an object defined by polynomial equations in a domain. We describe regularity criteria which allow us to determine...
Lionel Alberti, Bernard Mourrain