4.4 Article

Biorthogonal wavelets based on gradual subdivision of quadrilateral meshes

期刊

COMPUTER AIDED GEOMETRIC DESIGN
卷 25, 期 9, 页码 816-836

出版社

ELSEVIER
DOI: 10.1016/j.cagd.2007.11.002

关键词

Biorthogonal wavelet; root 2 subdivision; Lifting scheme; Subdivision-based wavelet

资金

  1. Hong Kong University of Science and Technology
  2. National Natural Science Foundation of China [60773144, 60610360]

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This paper introduces a new biorthogonal wavelet based on a variant of root 2 subdivision by using the lifting scheme, The greatest advantage of this wavelet is its very slow gradual refinement for quadrilateral meshes, which offers the biggest number of resolution levels to control a quadrilateral mesh. Moreover, the resulting wavelet transforms have a linear computational complexity, as they are composed of local and in-place lifting operations only. Feature lines can also be effectively integrated into the wavelet transforms as self-governed boundary curves. The introduced wavelet analysis can be used in a variety of applications such as progressive transmission, data compression, shape approximation and multi resolution rendering. The experiments have shown sufficient stability as well as better performance of the introduced wavelet analysis, as compared to the existing wavelet analyses for quadrilateral meshes of arbitrary topology. (C) 2007 Elsevier B.V. All rights reserved.

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