The S-kernel: A measure of symmetry of objects

Autor:	Vito Di Gesù, Bertrand Zavidovique
Přispěvatelé:	ZAVIDOVIQUE B, DI GESU' V
Rok vydání:	2007
Předmět:	Symmetry operation Plane symmetry Rotational symmetry Measure (mathematics) Combinatorics Kernel method Artificial Intelligence Kernel (statistics) Signal Processing Computer Vision and Pattern Recognition Circular symmetry Symmetry (geometry) Software Mathematics
Zdroj:	Pattern Recognition. 40:839-852
ISSN:	0031-3203
DOI:	10.1016/j.patcog.2006.04.013
Popis:	In this paper we introduce a new symmetry feature named ''symmetry kernel'' (SK) to support a measure of symmetry. Given any symmetry transform S, SK of a pattern P is the maximal included symmetric sub-set of P for all directions and shifts. We provide a first algorithm to exhibit this kernel where the centre of symmetry is assumed to be the centre of mass. Then we prove that, in any direction, the optimal axis corresponds to the maximal correlation of a pattern with its symmetric version. That leads to a second algorithm. The associated symmetry measure is a modified difference between the respective surfaces of a pattern and its kernel. A series of experiments supports the actual algorithm validation.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6034662b468a875c9596950828d1cd9d https://doi.org/10.1016/j.patcog.2006.04.013 Zobrazit plný text záznamu Full Text from ScienceDirect