Mean Square Error Approximation for Wavelet-Based Semiregular Mesh Compression
IEEE Transactions on Visualization and Computer Graphics
Technical Section: Multiresolution for curves and surfaces based on constraining wavelets
Computers and Graphics
Biorthogonal wavelets based on gradual subdivision of quadrilateral meshes
Computer Aided Geometric Design
Technical Section: Multiresolutions numerically from subdivisions
Computers and Graphics
Smooth reverse Loop and Catmull-Clark subdivision
Graphical Models
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
| Hi-index | 0.00 |
In this paper we propose a new wavelet scheme for Loop subdivision surfaces. The main idea enabling our wavelet construction is to extend the subdivision rules to be invertible, thus executing each inverse subdivision step in the reverse order makes up the wavelet decomposition rule. As apposed to other existing wavelet schemes for Loop surfaces, which require solving a global sparse linear system in the wavelet analysis process, our wavelet scheme provides efficient (linear time and fully in-place) computations for both forward and backward wavelet transforms. This characteristic makes our wavelet scheme extremely suitable for applications in which the speed for wavelet decomposition is critical. We also describe our strategies for optimizing free parameters in the extended subdivision steps, which are important to the performance of the final wavelet transform. Our method has been proven to be effective, as demonstrated by a number of examples.