Error Bounds for Morphologically Derived Measurements
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abstract
The morphological analysis of black and white images was originated by G. Matheron for the textural study of porous materials. The method is grounded upon the classical Minkowski algebra as developed by H. Hadwiger. The present paper provides sampling error bounds which result from employing a digital methodology in the computation of morphologically derived measurements. Specifically, the digitization error is examined in the case of size distributions resulting from erosions and linear granulometries.