Spherical wavelets

Publisher Website
Google Scholar
Abstract
Wavelets have proven to be powerful bases for use in numerical analysis and signal processing. Their power lies in the fact that they only require a small number of coefficients to represent gen- eral functions and large data sets accurately. This allows compres- sion and efficient computations. Classical constructions have been limited to simple domains such as intervals and rectangles. In this paper we present a wavelet construction for scalar functions defined on the sphere. We show how biorthogonal wavelets with custom properties can be constructed with the lifting scheme. The bases are extremely easy to implement and allow fully adaptive subdivi- sions. We give examples of functions defined on the sphere, such as topographic data, bidirectional reflection distribution functions, and illumination, and show how they can be efficiently represented with spherical wavelets. CR Categories and Subject Descriptors: I.3.0 (Computer Graphics): General; G.1.0 (Numerical Analysis): General - Numerical Algorithms ; G.1.1 Interpolation - Smoothing ; G.1.2 Approximation - Nonlinear Ap- proximation.

This publication has 0 references indexed in Scilit: