A Closed-Form Parametrization and an Alternative Computational Algorithm for Approximating Slices of Minkowski Sums of Ellipsoids in <inline-formula><math display="inline"><semantics><msup><mi mathvariant="double-struck">R</mi><mn>3</mn></msup></semantics></math></inline-formula>

A Closed-Form Parametrization and an Alternative Computational Algorithm for Approximating Slices of Minkowski Sums of Ellipsoids in <inline-formula><math display="inline"><semantics><msup><mi mathvariant="double-struck">R</mi><mn>3</mn></msup></semantics></math></inline-formula>

The current work aims to develop an approximation of the slice of a Minkowski sum of finite number of ellipsoids, sliced up by an arbitrarily oriented plane in Euclidean space <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semant...

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Bibliographic Details
Main Author: Amirreza Fahim Golestaneh
Format: Article
Language:English
Published: MDPI AG 2022-12-01
Series:Mathematics
Subjects:
slice of Minkowski sum
ellipsoids
closed-form parametrization
approximation
computational algorithm
Kurzhanski’s bounds
Online Access:https://www.mdpi.com/2227-7390/11/1/137

Internet

https://www.mdpi.com/2227-7390/11/1/137

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