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The Voronoi Methods for Motion-Planning

The Voronoi Methods for Motion-Planning I. The Case of a Disc (Classic Reprint)

Hardback (08 Feb 2018)

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Publisher's Synopsis

Excerpt from The Voronoi Methods for Motion-Planning: I. The Case of a Disc

Proof. First consider any point x in Q; let p belong to Near(x). Claim that for any point 2 on the open line-segment joining p to x, Near(z) {p}. This is because, given q in Near(z), d(x, q) d(x, p) d(x, z) d(z, p) d(x, z) therefore xzq is a straight angle.

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Book information

ISBN: 9780656066926
Publisher: Fb&c Ltd
Imprint: Forgotten Books
Pub date:
Number of pages: 20
Weight: 186g
Height: 229mm
Width: 152mm
Spine width: 6mm