Nov 14, 2018 · In plane, the Minkowski sum of convex polygons can be computed in linear time of the total number of vertices of the polygons.

We propose a method to efficiently compute the Minkowski sum, denoted by binary operator ⊕ \oplus in the paper, of convex polytopes in ℜ d \Re^d using their ...

Nov 14, 2018 · An exact implementation of an efficient algorithm that computes Minkowski sums of convex polyhedra in R3 that can handle degenerate input, and produces exact ...

Jun 15, 2024 · We propose algorithms to compute the Minkowski sum of two or more convex polytopes represented by their face lattices.

Nov 14, 2018 · Generally, there are two types of approaches to compute Minkowski sums of convex polytopes. One is that we compute the correct extreme vertices ...

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Posted: May 4, 2021

Minkowski sums are a very simple geometrical operation, with applications in many different fields. In particular, Minkowski sums of polytopes have.

There are two main approaches for computing Minkowski sums: divide-and-conquer and convolution. The first approach decomposes the input poly- hedra into convex ...

Minkowski sums are a very simple geometrical operation, with applications in many different fields. In particular, Minkowski sums of polytopes have.

Any face of a Minkowski sum of polytopes can be decomposed uniquely into a sum of faces of the summands. We will say that the decomposition is exact when the ...