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Exact minkowski sums and applications

Eyal Flato, Efi Fogel, Dan Halperin, Eran Leiserowitz

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Abstract

(MATH) The Minkowski sum of two sets P and Q in $\realsd is the set (p+q \mid p Ε P, q Ε Q). Minkowski sums are useful in robot motion planning, computer-aided design and manufacturing (CAD/CAM) and many other areas. In this video we present a software package implemented at Tel Aviv University for the exact and efficient construction of Minkowski sums of planar sets. We also explain and demonstrate how Minkowski sums are used in various applications.

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What this paper is about

(MATH) The Minkowski sum of two sets P and Q in $\realsd is the set (p+q \mid p Ε P, q Ε Q). Minkowski sums are useful in robot motion planning, computer-aided design and manufacturing (CAD/CAM) and many other areas. In this video we present a software package implemented at Tel Aviv University for the exact and efficient construction of Minkowski sums of planar sets. We also explain and demonstrate how Minkowski sums are used in various applications.

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Available abstract

(MATH) The Minkowski sum of two sets P and Q in $\realsd is the set (p+q \mid p Ε P, q Ε Q). Minkowski sums are useful in robot motion planning, computer-aided design and manufacturing (CAD/CAM) and many other areas. In this video we present a software package implemented at Tel Aviv University for the exact and efficient construction of Minkowski sums of planar sets. We also explain and demonstrate how Minkowski sums are used in various applications.

Key concepts: Minkowski space, Minkowski addition, Minkowski's theorem, Set (abstract data type), Planar, Mathematics, Computer science, Discrete mathematics

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