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1、A new fuzzy edge detection algorithmSun Wei Xia Lianzheng(Department of Automatic Control Engineering,SoutheastUniversity,Nanjing,210096,China)Abstract: Based upon the maximum entropy theorem of information theory, a novel fuzzy approach for edge detection is presented .Firstly, a definition of fuzz

2、y partition entropy is proposed after introducing the concept of fuzzy probability and fuzzy partition, The relation of the probability partition and the fuzzy c-partition of the image gradient are used in the algorithm。 Secondly, based on the conditional probabilities and the fury partition, the op

3、timal thresholdingis searchedadaptively through the maximum fuzzy entropy principle, and then the edge image is obtainedo Lastly, an edge-enhancing pwcMrnr is execute on the edge image .The perent results show that the proposed approach performs wello Key words :edge detection ;fuzzy entropy ;image

4、segmentation ;fuzzy partitionImage segmentation is an important topic for image analysis, computer vision and patternrecognition .Until now, many classical edge detection algorithms have been put forward .In recent years, fuzzy set theory has been successfully applied to many areas, such as automati

5、on control, image processing, pattern recognition and computer vision, etc .It is generally believed that image processing bears some fuzziness innature due to the following factors: Information loss while mapping 3-D objects into 2-D images;Ambiguity and vagueness in some definitions (such asedges,

6、 boundaries, regions, and textures, etc.); Ambiguity and vagueness in interpreting low-level image processing results .Therefore, fuzzy techniqueshave frequently been used in image segmentation.Jin Lizuo .et a1. proposed a new definition of fuzzy partition entropy using the conditional probability a

7、nd conditional entropy, and designed a new thresholding selection algorithm based on the maximum fuzzy entropy .This paper extends the application of the work to the problem of the edge detection and presents a new fuzzy edge detection algorithm .In the algorithm, a gradient image is considered as b

8、eing composed of an edge region and a smooth region .Based on the conditional probability and the fuzzy partition entropy, the optimal thresholding is searched adaptively through maximum fuzzy entropy principle .There are two major differences between the problems of the edge detection and the image

9、 thresholding segmentation .First, theproblem is actually reduced to a two-level thresholding problem, where the purpose of thresholding is topartition the image into two regions :an edge region anda smooth region .Second, in order to find the best compact representation of the image edges and conto

10、urs, the gradient image is processed.The experimental results show the effectiveness of the algorithm.The rest of this paper is organized as follows .In section 1,we briefly outline the concept of fUzzy probability and fuzzy partition entropy .In section 2,we describe the fuzzy edge detection algori

11、thm, In section 3,the experimental results and conclusions are presented.2.4 Edge detectionLet the edge image be e( x, y) ,then calculate it as1200 e(x, y) = 0if g (x, y) t f g (x, y) T f g (x, y) T由于其他很多的原因,邊沿會變成假的或效果不好的(強度不連續(xù));其中 有噪音和兩部分邊界斷裂是,因非均勻照明。在這部分中,我們引進了一種簡單而 有效的程序,清除假的或效果不好的邊沿。程序如下:在邊緣圖像上,運行一個3x3像素的窗口,窗口的中心在點(x, y)上;把在窗口中,已經(jīng)通過邊緣分類的點全部加起來,假如這個數(shù)字大于4, 離開這個邊緣點,否則他們代表假的或效果不好的邊緣點。實驗結(jié)果與結(jié)論在這一部分中,所有的實驗都是在前面提出的方法上處理。三幅原始圖像和 處理過的圖像如圖24所示。2是一幅飛機的圖像,大小為212x200個像素點,成 員函數(shù)的參數(shù)設(shè)定(a, b)=(5,157)和圖像閾值是81。3是狒狒的圖像,大小為 202x200個像素點,成員函數(shù)的參數(shù)設(shè)定(a, b)=(6,16

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