Skeletonization of Ribbon-Like Shapes Based on a New Wavelet Function
Skeletonization of Ribbon-Like Shapes Based on a New Wavelet Function
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DOI：
10.1109/tpami.2003.1227987
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发表时间：
2003-09
期刊：
影响因子：
--
通讯作者：
Y. Tang;Xinge You
中科院分区：
文献类型：
--
作者：
Y. Tang;Xinge You
本文提出了一种基于小波变换的带状轮廓骨架提取方法，该方法采用了一种新的小波函数，该小波函数具有三个显著特点：1）带状轮廓的小波变换模极大值的位置与图像的灰度无关; 2)当选取适当的小波变换尺度时，带状形状的小波变换模的局部极大值产生两条新的平行轮廓，它们对称地位于原始轮廓的两侧，具有与原始形状相同的拓扑和几何性质。3)这两个平行轮廓之间的距离等于小波变换的尺度，这与形状的宽度无关。该方案包括两个阶段：1）小波变换的产生--基于小波变换的理想性质，对小波变换的最大模进行了对称性分析。将所有轮廓元素对的中点连接起来，形成一个轮廓骨架，称为小波骨架。2)小波骨架的修改。此后，一组技术用于修改的主要小波骨架的文物。本文还提出了相应的算法。实验结果表明，该方法能够准确地提取不同宽度、不同灰度的带状物体的骨架。骨架表示对噪声和仿射变换具有鲁棒性。
A wavelet-based scheme to extract skeleton of Ribbon-like shape is proposed in this paper, where a novel wavelet function plays a key role in this scheme, which possesses three significant characteristics, namely, 1) the position of the local maximum moduli of the wavelet transform with respect to the Ribbon-like shape is independent of the gray-levels of the image. 2) When the appropriate scale of the wavelet transform is selected, the local maximum moduli of the wavelet transform of the Ribbon-like shape produce two new parallel contours, which are located symmetrically at two sides of the original one and have the same topological and geometric properties as that of the original shape. 3) The distance between these two parallel contours equals to the scale of the wavelet transform, which is independent of the width of the shape. This new scheme consists of two phases: 1) Generation of wavelet skeleton-based on the desirable properties of the new wavelet function, symmetry analyses of the maximum moduli of the wavelet transform is described. Midpoints of all pairs of contour elements can be connected to generate a skeleton of the shape, which is defined as wavelet skeleton. 2) Modification of the wavelet skeleton. Thereafter, a set of techniques are utilized for modifying the artifacts of the primary wavelet skeleton. The corresponding algorithm is also developed in this paper. Experimental results show that the proposed scheme is capable of extracting exactly the skeleton of the Ribbon-like shape with different width as well as different gray-levels. The skeleton representation is robust against noise and affine transformation.