Distance Transforms on Anisotropic Surfaces for Surface Roughness Measurement

The Distance Transform on Curved Space (DTOCS) calculates distances along a gray-level height map surface In this article, the DTOCS is generalized for surfaces represented as real altitude data in an anisotropic grid The distance transform combined with a nearest neighbor transform produces a roughness map showing the average roughness of image regions in addition to one roughness value for the whole surface The method has been tested on profilometer data measured on samples of different paper grades The correlation between the new method and the arithmetic mean deviation of the roughness surface, Sa, for small wavelengths was strong for all tested paper sample sets, indicating that the DTOCS measures small scale surface roughness.

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