DCG
2008
13 years 5 months ago
2008
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...
SMA
2010
ACM
13 years 5 months ago
2010
ACM
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-...
SODA
2003
ACM
13 years 6 months ago
2003
ACM
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...
CCCG
2008
13 years 6 months ago
2008
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...
COMPGEOM
2007
ACM
13 years 9 months ago
2007
ACM
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...
PG
2007
IEEE
13 years 11 months ago
2007
IEEE
Minkowski sum is a fundamental operation in many geometric applications, including robotics, penetration depth estimation, solid modeling, and virtual prototyping. However, due to...