Conference proceeding
Orthogonal quincunx wavelets with fractional orders
2001 INTERNATIONAL CONFERENCE ON IMAGE PROCESSING, VOL I, PROCEEDINGS, pp.606-609
2001
DOI: 10.1109/ICIP.2001.959118
Abstract
We present a new family of 2D orthogonal wavelets which uses quincunx sampling. The orthogonal refinement filters have a simple analytical expression in the Fourier domain as a function of the order alpha, which may be non-integer. The wavelets have good isotropy properties. We can also prove that they yield wavelet bases of L-2 (R-2) for any alpha > 0. The wavelets are fractional in the sense that the approximation error at a given scale a decays like 0(a(alpha)); they also essentially behave like fractional derivative operators. To make our construction practical, we propose an FFT-based implementation that turns out to be surprisingly fast. In fact, our method is almost as efficient as the standard Mallat algorithm for separable wavelets.
Details
- Title: Subtitle
- Orthogonal quincunx wavelets with fractional orders
- Creators
- Manuela FeilnerMathews JacobMichael Unser
- Resource Type
- Conference proceeding
- Publication Details
- 2001 INTERNATIONAL CONFERENCE ON IMAGE PROCESSING, VOL I, PROCEEDINGS, pp.606-609
- DOI
- 10.1109/ICIP.2001.959118
- Language
- English
- Date published
- 2001
- Academic Unit
- Roy J. Carver Department of Biomedical Engineering; Radiology; Electrical and Computer Engineering; Iowa Neuroscience Institute; Radiation Oncology
- Record Identifier
- 9984232113102771
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