Morphological shape description using geometric spectrum on multidimensional binary images

Frank Yeong-Chya Shih; Christopher Chamin Pu

doi:10.1117/12.131503

1 November 1992 Morphological shape description using geometric spectrum on multidimensional binary images

Frank Yeong-Chya Shih, Christopher Chamin Pu

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Proceedings Volume 1818, Visual Communications and Image Processing '92; (1992) https://doi.org/10.1117/12.131503
Event: Applications in Optical Science and Engineering, 1992, Boston, MA, United States

Abstract

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.

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Frank Yeong-Chya Shih and Christopher Chamin Pu "Morphological shape description using geometric spectrum on multidimensional binary images", Proc. SPIE 1818, Visual Communications and Image Processing '92, (1 November 1992); https://doi.org/10.1117/12.131503

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