A new construction of a directional continuous wavelet analysis on the sphere is derived herein. We adopt the harmonic scaling idea for the spherical dilation operator recently proposed by Sanz et al. [1] but extend the analysis to a more general directional framework. Directional wavelets are a powerful extension that allow one to also probe oriented structure in the analysed function. Our sph...

A common assumption of the shape from texture problem is that a perceived image primarily contains only one type of texture with the same surface orientations. Unfortunately, a natural image is often composed of textured planes with different surface orientations. In order to deal with the shape from texture problem in a practical manner, we need to segment these surface orientations. The ridge...

Discrete wavelet transform (DWT) is computed by subband lters bank and often used to approximate wavelet series (WS) and continuous wavelet transform (CWT). The approximation is often inaccurate because of the improper initialized discretization of the continuous-time signal. In this paper, the problem is analyzed and two simple algorithms for the initialization are introduced. Finally, numeric...

Discrete wavelet transform (DWT) is computed by subband lters bank and often used to approximate wavelet series (WS) and continuous wavelet transform (CWT). The approximation is often inaccurate because of the improper initialized discretization of the continuous-time signal. In this paper, the problem is analyzed and two simple algorithms for the initialization are introduced. Finally, numeric...

Rob A. Zuidwijk CWI E-mail: [email protected] Url: http://www.cwi.nl/cwi/projects/wavelets.html November 6, 1997 Abstract In this lecture, the continuous wavelet transform will be discussed and some attention will be given to the discrete wavelet transform. Finally, wavelet transforms on multidimensional data will be considered. The set-up of the lecture is as follows: 1. The continuous wavelet t...