Efficient wavelet construction with Catmull–Clark subdivision

Authors:
Huawei Wang;Kaihuai Qin;Kai Tang
Affiliations:
Department of Mechanical Engineering, Hong Kong University of Science & Technology, Hong Kong, China and Department of Computer Science & Technology, Tsinghua University, 100084, Beijing, China;Department of Computer Science & Technology, Tsinghua University, 100084, Beijing, China and Shenyang Institute of Aeronautical Engineering, 110034, Shenyang, Liaoning, China;Department of Mechanical Engineering, Hong Kong University of Science & Technology, Hong Kong, China
Venue:
The Visual Computer: International Journal of Computer Graphics
Year:
2006

Citing 0
Cited 11

Composite 2 subdivision surfaces

Computer Aided Geometric Design
Biorthogonal wavelets based on gradual subdivision of quadrilateral meshes

Computer Aided Geometric Design
3D watermarking robust to accessible attacks

Proceedings of the First International Conference on Immersive Telecommunications
Reconstruction of Branching Surface and Its Smoothness by Reversible Catmull-Clark Subdivision

ICCS 2009 Proceedings of the 9th International Conference on Computational Science
Bi-frames with 4-fold axial symmetry for quadrilateral surface multiresolution processing

Journal of Computational and Applied Mathematics
Wavelet bi-frames with uniform symmetry for curve multiresolution processing

Journal of Computational and Applied Mathematics
Biorthogonal wavelets with 4-fold axial symmetry for quadrilateral surface multiresolution processing

Advances in Computational Mathematics
Technical Section: Multiresolutions numerically from subdivisions

Computers and Graphics
1-ring interpolatory wavelet using function vectors for mobile computing

Proceedings of the 10th International Conference on Virtual Reality Continuum and Its Applications in Industry
A discrete approach to multiresolution curves and surfaces

Transactions on Computational Science VI
Mesh connection with RBF local interpolation and wavelet transform

Proceedings of the Third Symposium on Information and Communication Technology

Quantified Score

Hi-index	0.00

Visualization

Abstract

This paper presents an efficient biorthogonal wavelet construction with the generalized Catmull–Clark subdivision based on the lifting scheme. The subdivision wavelet construction scheme is applicable to all variants of Catmull–Clark subdivision, so it is more universal than the previous wavelet construction for the generalized bicubic B-spline subdivision. Because the analysis and synthesis algorithms of the wavelets are composed of a series of local and in-place lifting operations, they can be performed in linear time. The experiments have demonstrated the stability of the proposed wavelet analysis based on the ordinary Catmull–Clark subdivision. Moreover, the resulting Catmull–Clark subdivision wavelets have better fitting quality than the generalized bicubic B-spline subdivision wavelets at a similar computation cost.