Name
Title | ||
|---|---|---|
Construction Of The Multi-Wavelets On Some Smooth Plane Curves Via Length-Preserving Projection |
Abstract | ||
|---|---|---|
Based on the theory of the discrete multi-wavelets in the space L-2(R), the theory of the discrete multi-wavelets in the space L-2(C) is presented properly in this paper, where C denotes a smooth plane curve. Firstly, the length-preserving projection is constructed, and by the length-preserving projection, the multiplicity multi-resolution analysis in the space L-2(C) is defined properly and we define the dilation operator and translation operator in the space L-2(C). Then, the two-scale refinement equations of multi-scaling function and multi-wavelet in the space L-2(C) is deduced by using length-preserving mapping, the orthogonality is discussed, and the decomposition and reconstruction algorithm is computed. Finally, the example is given. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1142/S0219691314500052 | INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING |
Keywords | DocType | Volume |
Length-preserving projection, multiplicity multi-resolution analysis, wavelet on the manifold | Journal | 12 |
Issue | ISSN | Citations |
1 | 0219-6913 | 0 |
PageRank | References | Authors |
0.34 | 8 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Baoqin Wang | 1 | 1 | 1.75 |
| Gang Wang | 2 | 1 | 1.41 |
| Xiaohui Zhou | 3 | 27 | 9.21 |