On the Relation Inclusion of Zonotopes in the Plane
نویسندگان
چکیده
The theory of quasivector spaces has been applied for a class of zonotopes in the plane defined as positive combinations of basic centered segments. This leads to an implicit presentation of the zonotopes by means of two vectors: one for the center and one for the centered zonotope obtained by translation of the original zonotope in the origin. Using this presentation, the order relation inclusion of zonotopes in the plane has been studied. More specifically, sufficient conditions for inclusion have been stated in terms of the implicit presentation.
منابع مشابه
On the Approximation of Centered Zonotopes in the Plane
The present work is devoted to computation with zonotopes in the plane. Using ideas from the theory of quasivector spaces we formulate an approximation problem for zonotopes and propose an algorithm for its solution.
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