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Area and Perimeter Derivatives of a Union of Disks

Area and Perimeter Derivatives of a Union of Disks

Book SeriesLecture Notes in Computer Science
PublisherSpringer Berlin / Heidelberg
ISSN0302-9743 (Print) 1611-3349 (Online)
VolumeVolume 2598/2003
BookComputer Science in Perspective
DOI10.1007/3-540-36477-3
Copyright2003
ISBN978-3-540-00579-7
DOI10.1007/3-540-36477-3_7
Pages88-97
Subject CollectionComputer Science
SpringerLink DateWednesday, January 01, 2003
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Area and Perimeter Derivatives of a Union of Disks

Ho-Lun Cheng 7 and Herbert Edelsbrunner8, 9

(7)  Department of Computer Science, National University of Singapore, Singapore
(8)  Department of Computer Science, Duke University, Durham
(9)  Raindrop Geomagic, Research Triangle Park, North Carolina
Abstract
We give analytic inclusion-exclusion formulas for the area and perimeter derivatives of a union of finitely many disks in the plane.

Keywords  Disks - Voronoi diagram - alpha complex - perimeter - area - derivative

Research by both authors was partially supported by NSF under grant DMS-98-73945 and CCR-00-86013.
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