Fast design of Gabor filters [medical image processing application]

The Gabor expansion and its associated Gabor filter design are important in image processing and image coding. An important application recently is in medical image analysis combined with neural network techniques. Hence, seeking fast algorithms for the design of Gabor filters is particularly useful in these applications. Here, the authors present existence conditions for Gabor filters, and a fast algorithm to compute a pair of analysis and synthesis Gabor filters based on this condition and the Gram determinant. One of the main contributions of this work is that a pair of analysis and synthesis Gabor filters generate a frame and dual frame pair that do not require the computation of frame bounds.