1989
DOI: 10.1111/j.1365-2818.1989.tb02903.x
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Shape characterization of particles via generalized Fourier analysis

Abstract: SUMMARYA 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 betwe… Show more

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Cited by 19 publications
(5 citation statements)
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“…In order to analyze the main reasons for data fluctuations and realize signal remolding and regression, the various frequency signals are decomposed through Fourier analysis to form waveforms with different frequencies and amplitudes [38].…”
Section: Influence Of Operating Conditions On Dynamic Weighingmentioning
confidence: 99%
“…In order to analyze the main reasons for data fluctuations and realize signal remolding and regression, the various frequency signals are decomposed through Fourier analysis to form waveforms with different frequencies and amplitudes [38].…”
Section: Influence Of Operating Conditions On Dynamic Weighingmentioning
confidence: 99%
“…Very little has been done to derive local shape parameters from chain code descriptions. The major research area in this field is Fourier shape analysis (Ehrlich & Weinberg, 1970;Reti & Czinege, 1989;Luerkens, 1991). It is not within the scope of this paper to discuss the many problems related to Fourier methods.…”
Section: On)mentioning
confidence: 99%
“…The most characteristic shape functions are the methods based on the Fourier-analysis, the socalled distance-function and curvature-function. One of the advantages of the methods based on the Fourier-analysis is that the shape functions have information of the symmetry properties and the geometrical similarity [17], [22]. In these methods numerical algorithms are not needed to use because the results can be determined directly from an integration.…”
Section: Introductionmentioning
confidence: 99%