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Critical Balls

Serge Beucher 1, * 
Abstract : This paper introduces the concept of critical ball. Critical balls are maximal balls which are necessary and sufficient to describe and rebuild sets, contrary to maximal balls where some redundancy exists. A general definition of a critical ball is given in continuous spaces and some of its main properties are depicted. Thanks to a slight modification of their definition, critical balls can also be used in digital spaces. Then, we explain how to extract them rapidly through the use of two residual transformations. Finally, some examples of use of critical balls for shape description and image segmentation are briefly presented.
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  • HAL Id : hal-00835028, version 1


Serge Beucher. Critical Balls. 13th International Congress of Stereology (ICS13), Oct 2011, Beijing, China. 4 p. ⟨hal-00835028⟩



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