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Estimation of Minkowski Dimension Using Neighborhood Operations |
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| Authors: | C Babu Rao and Baldev Raj |
| Institution: | (1) Metallurgy and Materials Group, Indira Gandhi Centre for Atomic Research, Kalpakkam, 603 102, India;(2) Division for PIE & NDT Development, Indira Gandhi Centre for Atomic Research, Kalpakkam, 603 102, India |
| Abstract: | A method to estimate the Minkowski dimension using neighborhood operations is described. Its implementation using a software package IMAGER-2 on a square grid with eight connectivity is presented. It is observed that a range of successive pairs of dilations helps in arriving at the best estimate. The methodology is applied to find the Minkowski dimension of the skeleton of a stress corrosion crack. |
| Keywords: | fractal dimension crack pattern successive dilations |
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