Name
Abstract | ||
|---|---|---|
According to the theory of wavelet analysis on R-2, the wavelet analysis on a smooth surface M with nonzero constant Gaussian curvature will be discussed systematically in this paper. First, a general area-preserving projection from a smooth surface to the plane will be presented by the Gaussian projection and the area-preserving projection on the sphere. Then the continuous wavelet transform and its inverse transform on a smooth surface M with nonzero constant Gaussian curvature will be discussed by a general area-preserving projection, relative dilation operator and translation operator. Further, according to the multi-resolution analysis on a smooth surface, the discrete wavelet transform and relative properties will be investigated systematically, including the two-scale equations of the wavelet function, orthogonality and so on. Finally, two numerical examples will be given. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1142/S0219691318500078 | INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING |
Keywords | Field | DocType |
Gaussian curvature, general area-preserving projection, wavelet, two-scale equation | Curvature,Mathematical analysis,Mean curvature,Principal curvature,Continuous wavelet transform,Discrete wavelet transform,Mathematics,Willmore energy,Wavelet,Gaussian curvature | Journal |
Volume | Issue | ISSN |
16 | 1 | 0219-6913 |
Citations | PageRank | References |
0 | 0.34 | 5 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xiaohui Zhou | 1 | 27 | 9.21 |
| Baoqin Wang | 2 | 1 | 1.75 |