Sub band Fractional Fourier Transform and Application in Edge Detection

This paper proposes the concept of Sub band Fractional Fourier Transform (SB-FRFT), and extends to the 2-D sub band fractional Fourier transform. By combing the low-frequency sub band image after SB-FRFT with the traditional Sobel operator, edges of an image could be extracted more precisely. Experiments validate the proposed design method and also demonstrate the potential application of the SB-FRFT in image processing.