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Title of Journal: Vis Comput

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Abbravation: The Visual Computer

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Springer Berlin Heidelberg

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DOI

10.1007/978-1-4615-2151-8_1

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1432-2315

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Achieving developability of a polygonal surface by

Authors: Charlie CL Wang Kai Tang
Publish Date: 2004/11/01
Volume: 20, Issue: 8-9, Pages: 521-539
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Abstract

Surface developability is required in a variety of applications in product design such as clothing ship hulls automobile parts etc However most current geometric modeling systems using polygonal surfaces ignore this important intrinsic geometric property This paper investigates the problem of how to minimally deform a polygonal surface to attain developability or the socalled developabilitybydeformation problem In our study this problem is first formulated as a global constrained optimization problem and a penaltyfunctionbased numerical solution is proposed for solving this global optimization problem Next as an alternative to the global optimization approach which usually requires lengthy computing time we present an iterative solution based on a local optimization criterion that achieves near realtime computing speed


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