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RESEARCH PRODUCT

S_Kernel: A New Symmetry Measure

Vito Di GesùBertrand Zavidovique

subject

CombinatoricsMaximal correlationKernel (image processing)Efficient algorithmDetectorFeature extractionAxial symmetryMathematics

description

Symmetry is an important feature in vision. Several detectors or transforms have been proposed. In this paper we concentrate on a measure of symmetry. Given a transform S, the kernel SK of a pattern is defined as the maximal included symmetric sub-set of this pattern. It is easily proven that, in any direction, the optimal axis corresponds to the maximal correlation of a pattern with its flipped version. For the measure we compute a modified difference between respective surfaces of a pattern and its kernel. That founds an efficient algorithm to attention focusing on symmetric patterns.

https://doi.org/10.1007/11590316_8