We present an image comparison method based on the greatest solution of a system of bilinear fuzzy relation equations A·x=B·x, where “·” is the max-min composition, A and B are the compared images, normalized in [0,1] and considered as fuzzy relations, and x is an unknown vector. Due to symmetry, A (resp. B) could be the original image and B (resp. A) is an image modified of A (resp. B) (for instance, either noised or watermarked). Our index is more robust than other two comparison indexes already known in literature.
Bilinear equations and fuzzy image comparison / DI MARTINO, Ferdinando; Sessa, Salvatore. - unico:unico(2017), pp. 1-6. (Intervento presentato al convegno IEEE INTERNATIONAL FUZZY SYSTEMS NAPLES (ITALY) tenutosi a napoli nel 9-12 luglio 2017) [10.1109/FUZZ-IEEE.2017.8015397].
Bilinear equations and fuzzy image comparison
ferdinando di martino;salvatore sessa
2017
Abstract
We present an image comparison method based on the greatest solution of a system of bilinear fuzzy relation equations A·x=B·x, where “·” is the max-min composition, A and B are the compared images, normalized in [0,1] and considered as fuzzy relations, and x is an unknown vector. Due to symmetry, A (resp. B) could be the original image and B (resp. A) is an image modified of A (resp. B) (for instance, either noised or watermarked). Our index is more robust than other two comparison indexes already known in literature.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
