The Research Of Image Edge Detection Based On Wavelet Transform And Fuzzy Edge Detection

Along with the rapid development of digital image gathering and processing technology, image has become an important way of people to gain information. Image edge information reflects the most valuable information of the image. The Edge detecting is one of the most important and classic topic in the image processing and computer vision.The resolution in wavelet transformation adjusts in the time zone along with the frequency size. Low frequency is careless. High frequency is precise. Using the edge by the small scale which can detect the small transformation of the gray scale, and using the edge by the great scale which can detect the great transformation of the gray scale, using the wavelet multi-scale transfomation can detect the edge and detail much better, it also can separate the signal and noise much better. When we use the wavelet multi-scale transformation to detect the edge of image, to a certain degree, the plan can take off the noise disturbance, it also will take off some weak signal of the edge. It has limitation to detect blur border. If we use the fuzzy theory to do the detection at the same time, we can separate the weak border image from the background much better. Base on such characteristic, the paper considered the drawback of the classic edge detection, present a new image edge detect method bases on the wavelet multi-scale transform and fuzzy method. The new method which was combine the multi-scale and fuzzy method would overcome the effect of noise efficiently, hold the richness details of the edge and can effectively separated the weak border of the image form the background.In this paper, wavelet Multi-scale transform and fuzzy edge detection algorithm was combined in the image edge detection. The method divided the image into two groups of high frequency and low frequency and deal with separately. The high pass filter rejector's aim is wipe off the wavlet's parameter of low frequency band and hold the wavelet's parameter of high frequency band, the low pass filter rejector's aim is hold the wavelet's parameter of low frequency band and attenuate wavelet's parameter of high frequency band. The high frequency of the image was used the wavelet multi-scale transform for the edge detection. The low frequency of the image was used the Compete Fuzzy edge detection algorithm for the edge detection. Then fusion the two images which come from the two methods. The experiment result show that the edge come from the new method combines the advantage of Multi-scale edge detection and Compete fuzzy edge detcion method, overcome the limitation of two methods and gets a significant improvement compared with other edge operators.