Abstract
This work proposes an analytical design method for 2D Gaussian-shaped directional IIR filters with single, double or multiple orientation selectivity in the frequency plane. The design starts from a 1D Gaussian prototype with adjustable selectivity, to which specific frequency transformations are applied in order to obtain oriented 2D filters. This design technique leads to the 2D filter frequency response expressed in matrix form, depending on the imposed specifications. Therefore, the resulted 2D filter with multiple orientation is adjustable, and its selectivity and orientation angles are specified independently. Several design examples of orientation-selective filters are provided. An example of image filtering with a two-directional filter with specified parameters shows the possibility of detecting and separating straight lines with various orientations from a given test image.
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