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Texture analysis: pretopological a

机译:质地分析:拓扑前

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Abstract: This paper deals with the problem of texture classification: a new coding images has been developed. The first interest of this article is the presentation of a new approach for texture analysis based on pretopology: pretopology is a mathematical area which generalizes, in our case, mathematical morphology. Instead of using only one structuring element to make transformations on an image, we can use a basis of structuring elements. We can recreate the mathematical-morphology transformations like dilation and erosion, but we can build new transformations, thinner or coarser than dilation or erosion. More over, we can use the all mathematical knowledges of pretopology. The second part of this article presents the coding images based on the pretopological approach: it uses a basis of four structuring elements. One gray scale image is coded by two images of 15 colors. We try to determinate the discrimining capacity of the coding images.!20
机译:摘要:本文解决了纹理分类的问题:已经开发了一种新的编码图像。本文的首要兴趣是介绍一种基于前拓扑的纹理分析新方法:前拓扑是一个数学领域,在我们的情况下,它概括了数学形态。代替仅使用一个结构化元素对图像进行转换,我们可以使用结构化元素的基础。我们可以重新创建像膨胀和腐蚀这样的数学形态转换,但是我们可以建立比膨胀或腐蚀更薄或更粗的新转换。此外,我们可以使用拓扑学的所有数学知识。本文的第二部分介绍了基于前拓扑方法的编码图像:它使用四个结构元素的基础。一幅灰度图像由15种颜色的两幅图像编码。我们试图确定编码图像的判别能力。!20

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