Directional wavelets revisited: Cauchy wavelets and symmetry detection in patterns. (English) Zbl 0936.42017
Authors’ abstract: “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.” \(\copyright\) Academic Press.
Reviewer: B.Rubin (Jerusalem)
MSC:
| 42C40 | Nontrigonometric harmonic analysis involving wavelets and other special systems |
| 68U10 | Computing methodologies for image processing |
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