IEEE International Symposium on Signal Processing and Information Technology (2011)
Dec. 14, 2011 to Dec. 17, 2011
Carlos Martinez-Ortiz , Department of Computer Science, University of Exeter, Devon, UK
Dragisa Zunic , Ecole Polytechnique Fédérale de Lausanne, IC LARA BC CH-1015, Switzerland
Jovisa Zunic , Department of Computer Science, University of Exeter, Devon, UK
This paper introduces a family of rectangularity measures. Several rectangularity measures already exist in literature, and all of them evaluate how much the shape considered differs from a perfect rectangle. But all existing measures assume that all rectangles have the same shape, and a consequence is that these measures do not distinguish among the rectangles whose edge-ration differs. In this paper we consider that differently elongated rectangles have different shape and propose a family of new rectangularity measures which distinguish among such rectangles. New rectangularity measures are invariant with respect to translation, rotation and scaling transformations. In addition, we introduce a tuning parameter which enables an additional flexibility of the new measures with respect to performing applications.
C. Martinez-Ortiz, D. Zunic and J. Zunic, "Measuring shape rectangularities," 2011 IEEE International Symposium on Signal Processing and Information Technology (ISSPIT), Bilbao, 2011, pp. 369-374.