We extend to three dimensions an unusual wavelet construction that we first introduced in a two-dimensional context (in ``Wavelet Transforms and Time Frequency Signal Analysis'' (L. Debnath, Ed.), Birkha user, Basel, in press). This is part of an on-going program to analyze critical behavior in clas
Wavelets and pre-wavelets in low dimensions
โ Scribed by Sherman D Riemenschneider; Zuowei Shen
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 870 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Using an approximation theory approach, we prove that a scaling function with suitable polynomial decay satisfies the Strang-Fix condition of order r # N if and only if the elements of any prewavelet set [ & ] & # E\* with polynomial decay of the same order have vanishing integral moments up to orde
The analysis of oriented features in images requires two-dimensional directional wavelets. Among these, we study in detail the class of Cauchy wavelets, which are strictly supported in a (narrow) convex cone in spatial frequency space. They have excellent angular selectivity, as shown by a standard