一种小波滤波器的构造与多尺度边缘检测

arr has point out that describing images in human vision has multiresolution characteristics. In this paper, according to the peculiarity that the scale exhibit progressional variety, we deduced a group of multiscale wavelet filter from two dimensions smooth function. The lowpass impulse response of the filter is symmetric at origin, the hignpass response of the filter is anti-symmetric at origin, and the truncation error is very small. They have the characteristics of approximation compact support and smoothness. Meanwhile nine group of filter response coefficient are given to realize the feature extraction from coarse to fine, and providing a useful tools for multiscale edge detection. On the other hand, Detecting the modulus maximum of the wavelet transformation coefficient to acquire the image edge feature after image processing by using the filter. The method not only effectively reduces noise, but also gets the edge position at sub-pixel precision. Finally, the effectiveness of