On the computation of the Minkowski dimension using morphological operations

Kanmani, S. ; Rao, Babu C. ; Raj, B. (1993) On the computation of the Minkowski dimension using morphological operations Journal of Microscopy, 170 (1). pp. 81-85. ISSN 0022-2720

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Official URL: http://onlinelibrary.wiley.com/doi/10.1111/j.1365-...

Related URL: http://dx.doi.org/10.1111/j.1365-2818.1993.tb03325.x

Abstract

The Minkowski dimension as a complexity measure, and its relation to the other dimensions in the case of self-similar fractal objects, is discussed. An implementation of the Minkowski dimension, using morphological operations on a square grid, is presented. The effect of resolution, orientation and the symmetry of the structuring element used on the estimation of the Minkowski dimension is studied. The corrections required for free end points are presented.

Item Type:Article
Source:Copyright of this article belongs to John Wiley and Sons.
Keywords:Fractals; Minkowski Dimension; Morphological Operations; Image Analysis
ID Code:98115
Deposited On:24 Mar 2014 10:32
Last Modified:24 Mar 2014 10:32

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