Wavelets in polar coordinates
O. Andric, Carolyn Pfeffer Johnston, Nurgün Erdöl · 2002
The problems encountered in the development and implementation of two-dimensional orthonormal wavelet bases and their filter banks in polar coordinates are addressed. These wavelets and filter banks have possible applications in processing signals that are collected by sensors working in the polar coordinate system, such as biomedical and radar generated signals. Wavelet bases are developed in the convenient and familiar surrounding of the rectangular plane, and the theory is transported to the polar plane. Corresponding filter banks are developed and the implementation of wavelet analysis in the polar plane is discussed. Examples are provided.