Name
Abstract | ||
|---|---|---|
In this paper, a simple method is given in order to construct an area preserving mapping from a developable surface M to a plane. Based on the area preserving projection, we give some important formulas on M, and define a multi-resolution analysis on L-2(M). We provide the conditions to further discuss the continuous wavelet transform and discrete wavelet transform on developable surface. At the same time, we derived two-scale equations that the scaling function and wavelet function on developable surface satisfied, we also define and discuss the orthogonality, and several important theorems are given. Finally, we construct the numerical examples. The focus of this paper is the area preserving mapping that from developable surface M to a plane, and the discrete wavelet transform on developable surface. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1142/S0219691315500071 | INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING |
Keywords | DocType | Volume |
Developable surface, area-preserving projection, continuous wavelet transform (CWT), discrete wavelet transform | Journal | 13 |
Issue | ISSN | Citations |
1 | 0219-6913 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Baoqin Wang | 1 | 1 | 1.75 |
| Gang Wang | 2 | 1 | 1.41 |
| Xiaohui Zhou | 3 | 27 | 9.21 |
| Yu Su | 4 | 0 | 0.34 |