In this paper changes of size functions under morphological transformations are studied. Some inequalities concerning size functions of a subset of the Euclidean plane, its dilation by an open disk and its skeleton are proved. Such inequalities prove the stability of size functions with respect to these morphological transformations and give a new approach for computation in Size Theory.
Size functions and morphological transformations / P., Frosini; Landi, Claudia. - In: ACTA APPLICANDAE MATHEMATICAE. - ISSN 0167-8019. - STAMPA. - 49:(1997), pp. 85-104. [10.1023/A:1005857402634]
Size functions and morphological transformations
LANDI, Claudia
1997
Abstract
In this paper changes of size functions under morphological transformations are studied. Some inequalities concerning size functions of a subset of the Euclidean plane, its dilation by an open disk and its skeleton are proved. Such inequalities prove the stability of size functions with respect to these morphological transformations and give a new approach for computation in Size Theory.
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