基于坡变换的表面测量中的形态学操作理论探究
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| Published in | 浙江大学学报：A卷英文版 Vol. 16; no. 5; pp. 395 - 403 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
2015
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| Subjects | |
| Online Access | Get full text |
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| Bibliography: | Morphological operations; Slope transform; Tangential dilation; Linear convolution; Surface metrology As one of the tools for surface analysis, morphological operations, although not as popular as linear convolution operations （e.g., the Gaussian filter）, are really useful in mechanical surface reconstruction, surface filtration, functional simulation, etc. By introducing the slope transform originally developed for signal processing into the field of surface metrology, an analytic capability is gained for morphological operations, paralleling that of the Fourier transform in the context of linear convolution. Using the slope transform, the tangential dilation is converted into the addition in the slope domain, just as by the Fourier transform, the convolution switches into the multiplication in the frequency domain. Under the theory of the slope transform, the slope and curvature changes of the structuring element to the operated surface can be obtained, offering a deeper understanding of mor- phological operations in surface measurement. The analytical solutions to the tangential dilation of a sine wave and a disk by a disk are derived respectively. An example of the discretized tangential dilation of a sine wave by the disks with two different radii is illustrated to show the consistency and distinction between the tangential dilation and the classical dilation. 33-1236/O4 Shan LOU, Xiang-qian JIANG, Wen-han ZENG, Paul J. SCOTT （EPSRC Innovative Manufacure Research Centre in Advanced Metrology, School of Computing and Engineering, University of Huddersfield, Queensgate, Huddersfield, HD1 3DH, UK） |
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| ISSN: | 1673-565X 1862-1775 |