外文翻译---一种新的模糊边缘检测算法

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，边沿会变成假的或效果不好的(强度不连续)；其中 有噪音和两部分边界断裂是，因非均匀照明。在这部分中，我们引进了一种简单而 有效的程序,清除假的或效果不好的边沿。程序如下：在边缘图像上，运行一个3x3像素的窗口,窗口的中心在点(x, y)上；把在窗口中，已经通过边缘分类的点全部加起来，假如这个数字大于4, 离开这个边缘点，否则他们代表假的或效果不好的边缘点。实验结果与结论在这一部分中，所有的实验都是在前面提出的方法上处理。三幅原始图像和 处理过的图像如图24所示。2是一幅飞机的图像，大小为212x200个像素点，成 员函数的参数设定(a, b)=(5,157)和图像阈值是81。3是狒狒的图像，大小为 202x200个像素点，成员函数的参数设定(a, b)=(6,16