Area and perimeter derivatives of a union of disks

Authors:
Ho-Lun Cheng;Herbert Edelsbrunner
Affiliations:
Department of Computer Science, National University of Singapore, Singapore.;Department of Computer Science, Duke University, Durham, and Raindrop Geomagic, Research Triangle Park, North Carolina
Venue:
Computer Science in Perspective
Year:
2003

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Abstract

We give analytic inclusion-exclusion formulas for the area and perimeter derivatives of a union of finitely many disks in the plane.