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Achieving developability of a polygonal surface by minimum deformation: a study of global and local optimization approaches

Authors Wang, CCL HKUST affiliated (currently or previously)
Tang, K. View this author's profile
Issue Date 2004
Source VISUAL COMPUTER , v. 20, (8-9), 2004, NOV, p. 521-539
Summary 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 so-called developability-by-deformation problem. In our study, this problem is first formulated as a global constrained optimization problem and a penalty-function-based 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 real-time computing speed.
ISSN 0178-2789
Rights The original publication is available at
Language English
Format Article
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