Orhonormal wavelet bases on the 3D ball via volume preserving map from the regular octahedron
Numerical Analysis
2019-10-18 v1 Numerical Analysis
Metric Geometry
Abstract
We construct a new volume preserving map from the unit ball to the regular 3D octahedron, both centered at the origin, and its inverse. This map will help us to construct refinable grids of the 3D ball, consisting in diameter bounded cells having the same volume. On this 3D uniform grid, we construct a multiresolution analysis and orthonormal wavelet bases of , consisting in piecewise constant functions with small local support.
Keywords
Cite
@article{arxiv.1910.08067,
title = {Orhonormal wavelet bases on the 3D ball via volume preserving map from the regular octahedron},
author = {Adrian Holhos and Daniela Rosca},
journal= {arXiv preprint arXiv:1910.08067},
year = {2019}
}