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Shape characterization of particles via generalized Fourier analysis
Author(s) -
Réti Tamás,
Czinege Imre
Publication year - 1989
Publication title -
journal of microscopy
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.569
H-Index - 111
eISSN - 1365-2818
pISSN - 0022-2720
DOI - 10.1111/j.1365-2818.1989.tb02903.x
Subject(s) - fourier transform , characterization (materials science) , translation (biology) , shape analysis (program analysis) , fourier analysis , generalization , invariant (physics) , measure (data warehouse) , dilation (metric space) , fourier series , heat kernel signature , rotation (mathematics) , geometry , mathematics , mathematical analysis , active shape model , physics , computer science , optics , artificial intelligence , chemistry , segmentation , static analysis , biochemistry , database , messenger rna , mathematical physics , gene , programming language
SUMMARY A general method for shape characterization of two‐dimensional (2‐D) microscopical particles is presented. The proposed procedure based on Fourier analysis techniques can be regarded as a generalization and further development of methods described in the literature. The geometry of the particles is characterized by a set of shape functions which is invariant under translation, rotation and dilation. Shape descriptors generated from the Fourier coefficients are used for shape evaluation. Similarity between particles has been evaluated using an appropriately defined distance measure. The method is demonstrated by an application using a collection of 2‐D objects.