Biorthogonal Wavelets Based on Interpolatory  Subdivision

This article presents an efficient construction of biorthogonal wavelets built upon an interpolatory  subdivision for quadrilateral meshes. The interpolatory subdivision scheme is first turned into a scheme for reversible primitive wavelet synthesis. Some desired properties are then incorporated in...

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Bibliographic Details
Published in:Computer graphics forum Vol. 28; no. 6; pp. 1572 - 1585
Main Authors: Wang, H., Ma, W.
Format: Journal Article
Language:English
Published: Oxford, UK Blackwell Publishing Ltd 01.09.2009
Subjects:
Algorithms
Computer graphics
G.1.2 [Numerical Analysis]: Approximation-Wavelets and fractals
Hierarchies
I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling-Hierarchy and geometric transformations
Interpolation
interpolatory  subdivision
lifting scheme
second generation wavelet
Studies
Wavelet transforms
ISSN:0167-7055, 1467-8659
Online Access:Get full text
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Summary:This article presents an efficient construction of biorthogonal wavelets built upon an interpolatory  subdivision for quadrilateral meshes. The interpolatory subdivision scheme is first turned into a scheme for reversible primitive wavelet synthesis. Some desired properties are then incorporated in the primitive wavelet using the lifting scheme. The analysis and synthesis algorithms of the resulting new wavelet are finally obtained as local and in‐place lifting operations. The wavelet inherits the advantage of  refinement with added levels of resolution. Numerical experiments show that the lifted wavelet built upon interpolatory  subdivision has sufficient stability and better performance in dealing with closed or open semi‐regular quadrilateral meshes compared with other existing wavelets for quadrilateral manifold meshes.
Bibliography:ark:/67375/WNG-920K2H98-B
istex:0AE848E508025B9121E4FDC81E78416DCBE04B49
ArticleID:CGF1349
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ISSN:0167-7055
1467-8659
DOI:10.1111/j.1467-8659.2009.01349.x