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DCG
2008
101views more  DCG 2008»
11 years 8 months ago
On the Hardness of Computing Intersection, Union and Minkowski Sum of Polytopes
For polytopes P1, P2 Rd we consider the intersection P1 P2, the convex hull of the union CH(P1 P2), and the Minkowski sum P1 + P2. For Minkowski sum we prove that enumerating t...
Hans Raj Tiwary
SMA
2010
ACM
231views Solid Modeling» more  SMA 2010»
11 years 8 months ago
Fast and robust retrieval of Minkowski sums of rotating convex polyhedra in 3-space
We present a novel method for fast retrieval of exact Minkowski sums of pairs of convex polytopes in R3 , where one of the polytopes keeps rotating. The algorithm is based on pre-...
Naama Mayer, Efi Fogel, Dan Halperin
SODA
2003
ACM
131views Algorithms» more  SODA 2003»
11 years 9 months ago
Zonotopes as bounding volumes
Zonotopes are centrally symmetric polytopes with a very special structure: they are the Minkowski sum of line segments. In this paper we propose to use zonotopes as bounding volum...
Leonidas J. Guibas, An Nguyen, Li Zhang
CCCG
2008
11 years 9 months ago
Polynomial irreducibility testing through Minkowski summand computation
In this paper, we address the problem of deciding absolute irreducibility of multivariate polynomials. Our work has been motivated by a recent work due to Gao et. al. [1, 2, 3] wh...
Deepanjan Kesh, Shashank K. Mehta
COMPGEOM
2007
ACM
11 years 12 months ago
On the hardness of minkowski addition and related operations
For polytopes P, Q Rd we consider the intersection P Q; the convex hull of the union CH(P Q); and the Minkowski sum P + Q. We prove that given rational H-polytopes P1, P2, Q it...
Hans Raj Tiwary
PG
2007
IEEE
12 years 2 months ago
Point-Based Minkowski Sum Boundary
Minkowski sum is a fundamental operation in many geometric applications, including robotics, penetration depth estimation, solid modeling, and virtual prototyping. However, due to...
Jyh-Ming Lien
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