Morphological shape description using geometric spectrum on multidimensional binary images
Frank Y. Shih, Christopher C. Pu · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1992
In this paper we present a useful morphological shape description tool called geometric spectrum or G-spectrum, for quantifying the geometric features on multidimensional binary images. The basis of this tool relies upon the cardinality of a set of non-overlapping segments in an image using morphological operations. The G-spectrum preserves the translation invariance property. With a chosen set of isotropic structuring elements the G-spectrum also preserves the rotation invariance. After the procedure of normalization, the G-spectrum can also preserve the scaling invariance. The properties and proofs of the G-spectrum are discussed.© (1992) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.