Direction Dependent Decomposition and Edge Detection

This paper presents the multiscale directional decomposition based on the directional frequency information of an image. In general, the pixel values of an image predominantly changes in only a few directions, based on this fact, the directional decomposition is achieved. Two different approaches are used for decomposition namely direction dependent filter bank (DDFB) and multiscale directional Gaussian filter (MDGF). DDFB use the Laplacian pyramid for multiscale decomposition followed by DFB for directional decomposition. MDGF use the Laplacian pyramid for multiscale decomposition followed by directional Gaussian filters for directional decomposition. The number of DDFB subbands at n^th stage is 3(2n-2) with a redundancy factor of 4/3. The number of MDFG subbands at n^th stage is m(2n-2). This directional dependent decomposition is used for edge detection and results show the better performance compared to several edge detection techniques in the presence of noise.