Multiresolution image decomposition with complex steerable pyramids

In this contribution we present a steerable pyramid based on complex wavelets named Circular Harmonic Wavelets (CHW), suited for multiscale feature-based representations. The Circular Harmonic Pyramid (CHP) performs a local windowed Fourier analysis in polar coordinates around any point of the image. After a survey on the general properties of the CHP, we illustrate the application of the CHP to the classical problem of image restoration against additive noise.