Abstract: When classic wavelet theory is applied to detect edge of images,discrete integral formula is often used to replace continuous integral to obtain wavelet coefficients.Since discrete integral is approximate expression of continuous integral,great numerical errors often cannot be avoided in calculations.This has lead to the fact that some details of images cannot be described clearly in edge detection.To solve this problem,by applying Mallat pyramidal algorithm to interpolation conjugate filter,a new algorithm was proposed for edge detection based on the fact that image pixel values can be considered as coefficients of interpolation wavelets.In the experiment,our algorithm is compared with the classic one.It is shown that the new algorithm can obtain clearer and more intact edges.This implies that our algorithm is more effective and accurate than the classic one.

Key words: Interpolation wavelet,Interpolation conjugate filter,Mallat pyramidal,Image edge detection