Abstract
The frequency response of the filter consists of two independent parts. The first is a prolate spheroidal sequence that is dependent on the polar radius. The second is a cosine function of the polar angle. The product of these two parts constitutes a 2-D filtering function. The frequency characteristics of the new filter are similar to that of the 2-D Cartesian separable filter which is defined in terms of two prolate spheroidal sequences. However, in contrast to the 2-D Cartesian separable filter, the position and direction of the new filter in the frequency domain is easy to control. Some applications of the new filter in texture processing, such as generation of synthetic texture, estimation of texture orientation, feature extraction, and texture segmentation, are discussed.