The.Algorithm.Design.Manual.Springer-Verlag.1998

The.Algorithm.Design.Manual.Springer-Verlag.1998 The.Algorithm.Design.Manual.Springer-Verlag.1998

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1.6.16 Minkowski Sum 1.6.16 Minkowski Sum INPUT OUTPUT Input Description: Point sets or polygons A and B , with n and m vertices, respectively. Problem: What is the convolution of A and B , ie. the Minkowski sum A+B = \{x+y| x\in A, y \in B\} ? Implementations ● David Eppstein's Knuth-Morris-Pratt Algorithm and Minkowski sum code (C++) (rating 4) Related Problems ● Motion Planning ● Simplifying Polygons ● Medial-Axis Transformation file:///E|/WEBSITE/FILES2/MINK_SUM.HTM (1 of 2) [19/1/2003 1:37:31]

1.6.16 Minkowski Sum Go to the corresponding chapter in the book About the Book Send us Mail Go to Main Page This page last modified on Tue Jun 03, 1997 . file:///E|/WEBSITE/FILES2/MINK_SUM.HTM (2 of 2) [19/1/2003 1:37:31]

1.6.16 Minkowski Sum<br />

1.6.16 Minkowski Sum<br />

INPUT OUTPUT<br />

Input Description: Point sets or polygons A and B , with n and m vertices, respectively.<br />

Problem: What is the convolution of A and B , ie. the Minkowski sum A+B = \{x+y| x\in A, y \in B\} ?<br />

Implementations<br />

● David Eppstein's Knuth-Morris-Pratt <strong>Algorithm</strong> and Minkowski sum code (C++) (rating 4)<br />

Related Problems<br />

● Motion Planning<br />

● Simplifying Polygons<br />

● Medial-Axis Transformation<br />

file:///E|/WEBSITE/FILES2/MINK_SUM.HTM (1 of 2) [19/1/2003 1:37:31]

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