✦ LIBER ✦
Directional Wavelets Revisited: Cauchy Wavelets and Symmetry Detection in Patterns
✍ Scribed by J.-P. Antoine; R. Murenzi; P. Vandergheynst
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 475 KB
- Volume
- 6
- Category
- Article
- ISSN
- 1063-5203
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✦ Synopsis
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 calibration test, and they have minimal uncertainty. In addition, we present a new application of directional wavelets, namely a technique for determining the symmetries of a given pattern with respect to rotations and dilation.