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...