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- Title
Easy Path Wavelet Transform on Triangulations of the Sphere.
- Authors
Plonka, Gerlind; Roşca, Daniela
- Abstract
The computation of sparse representations of data on the sphere (e.g. topographical data) is a crucial step for further processing such as multiple separation, migration, imaging and sparsity promoting data-recovery. The Easy Path Wavelet Transform (EPWT) is a new tool for sparse data representation that has recently been introduced for image compression. In this paper we consider the EPWT on spherical triangulations. 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 discrete one-dimensional orthogonal or biorthogonal wavelet transform can be applied. The EPWT can be used for defining a multiresolution analysis on the sphere in which the scaling spaces and the wavelet spaces depend adaptively on the data. Issues of implementation of the EPWT are also considered.
- Subjects
IMAGE compression; DATABASE management; DATA compression; TRIANGULATION signal towers; WAVELETS (Mathematics); TOPOGRAPHICAL surveying
- Publication
Mathematical Geosciences, 2010, Vol 42, Issue 7, p839
- ISSN
1874-8961
- Publication type
Article
- DOI
10.1007/s11004-009-9263-z