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Flattenable Mesh Processing by Controllable Laplacian Evolution

[+] Author Affiliations
Hongwei Lin

Zhejiang University, Hangzhou; The Chinese University of Hong Kong, Hong Kong, China

Yunbo Zhang, Charlie C. L. Wang

The Chinese University of Hong Kong, Hong Kong, China

Shuming Gao

Zhejiang University, Hangzhou, China

Paper No. DETC2010-28301, pp. 275-282; 8 pages
doi:10.1115/DETC2010-28301
From:
  • ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 3: 30th Computers and Information in Engineering Conference, Parts A and B
  • Montreal, Quebec, Canada, August 15–18, 2010
  • Conference Sponsors: Design Engineering Division and Computers in Engineering Division
  • ISBN: 978-0-7918-4411-3 | eISBN: 978-0-7918-3881-5
  • Copyright © 2010 by ASME

abstract

Models represented by polygonal meshes have been more and more widely used in CAD/CAM systems. In sheet manufacturing industries, the flattenability of a model is very important. Prior methods for processing the flattenability of a mesh surface usually employ a constrained optimization framework, which takes the positions of all its non-boundary vertices as variables in computation. For a mesh surface with hundred thousands of vertices, solving such an optimization is very time-consuming, and may exceed the capacity of main memory. In this paper, we develop a controllable evolution method to process the flattenability of a given mesh patch. It decouples the global optimization problem into a sequence of local controllable evolution steps, each of which has only one variable. Therefore, mesh surfaces with large number of vertices can be processed.

Copyright © 2010 by ASME

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