Sparse Data Representation on the Sphere using the Easy Path Wavelet Transform
by
Gerlind Plonka
BibTeX
@MISC{Plonka_sparsedata,
author = {Gerlind Plonka},
title = {Sparse Data Representation on the Sphere using the Easy Path Wavelet Transform},
year = {}
}
Bookmark
 |
 |
 |
 |
 |
 |
OpenURL
Abstract
In this paper we consider the Easy Path Wavelet Transform (EPWT) on spherical triangulations. The EPWT has been introduced in [7] in order to obtain sparse image representations. It is a locally adaptive transform that works along pathways through the array of function values and exploits the local correlations of the data in a simple appropriate manner. In our approach the usual one-dimensional discrete wavelet transform (DWT), orthogonal or biorthogonal, can be applied. 1.
Citations
| 108 | Wedgelets: Nearly minimax estimation of edges - Donoho - 1999 |
| 60 | Nonlinear wavelet transforms for image coding via lifting - Claypoole, Geoffrey, et al. |
| 53 | Rate-distortion optimized tree-structured compression algorithms for piecewise polynomial images - Shukla, Dragotti, et al. - 2005 |
| 25 | Compact representations of images by edge adapted multiscale transforms. Thessalonique - Cohen, Matei - 2001 |
| 19 | Adaptive directional lifting-based wavelet transform for image coding - Ding, Wu, et al. - 2007 |
| 11 | Adaptive multivariate approximation using binary space partitions and geometric wavelets - Dekel, Leviatan |
| 10 | The easy path wavelet transform: a new adaptive wavelet transform for sparse representation of two-dimensional data, Multiscale Modelling Simul - Plonka |
| 2 | Locally supported rational spline wavelets on a sphere - Ros¸ca - 2005 |
| 1 | wavelets on spherical triangulations - Haar - 2005 |
