DCG
2008
13 years 11 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 11 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
14 years 8 days 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
14 years 10 days 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
14 years 2 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
14 years 5 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...