On using fourier series in characterizing particle shape /
This paper starts from the fact that the Fourier coefficients of the contour of a particle are commonly used to describe its shape, for example by Meloy's law of morphological coefficients. The authors point to the sensitivity of the Fourier coefficients to jump discontinuities of the contour o...
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| author | 355381 Bandemer, Hans Albrecht, Matthias Kraut, Andre |
| author_facet | 355381 Bandemer, Hans Albrecht, Matthias Kraut, Andre |
| author_sort | 355381 Bandemer, Hans |
| collection | OCEAN |
| description | This paper starts from the fact that the Fourier coefficients of the contour of a particle are commonly used to describe its shape, for example by Meloy's law of morphological coefficients. The authors point to the sensitivity of the Fourier coefficients to jump discontinuities of the contour or of one of its derivatives. Explicit formulae for this dependence are reported and are used to suggest a stochastic model, the sensitivity is demonstrated by two examples with calculated results. |
| first_indexed | 2024-03-05T07:50:35Z |
| format | |
| id | KOHA-OAI-TEST:386921 |
| institution | Universiti Teknologi Malaysia - OCEAN |
| last_indexed | 2024-03-05T07:50:35Z |
| record_format | dspace |
| spelling | KOHA-OAI-TEST:3869212020-12-19T17:13:30ZOn using fourier series in characterizing particle shape / 355381 Bandemer, Hans Albrecht, Matthias Kraut, Andre This paper starts from the fact that the Fourier coefficients of the contour of a particle are commonly used to describe its shape, for example by Meloy's law of morphological coefficients. The authors point to the sensitivity of the Fourier coefficients to jump discontinuities of the contour or of one of its derivatives. Explicit formulae for this dependence are reported and are used to suggest a stochastic model, the sensitivity is demonstrated by two examples with calculated results.This paper starts from the fact that the Fourier coefficients of the contour of a particle are commonly used to describe its shape, for example by Meloy's law of morphological coefficients. The authors point to the sensitivity of the Fourier coefficients to jump discontinuities of the contour or of one of its derivatives. Explicit formulae for this dependence are reported and are used to suggest a stochastic model, the sensitivity is demonstrated by two examples with calculated results.47PSZJBLFourier seriesParticles |
| spellingShingle | Fourier series Particles 355381 Bandemer, Hans Albrecht, Matthias Kraut, Andre On using fourier series in characterizing particle shape / |
| title | On using fourier series in characterizing particle shape / |
| title_full | On using fourier series in characterizing particle shape / |
| title_fullStr | On using fourier series in characterizing particle shape / |
| title_full_unstemmed | On using fourier series in characterizing particle shape / |
| title_short | On using fourier series in characterizing particle shape / |
| title_sort | on using fourier series in characterizing particle shape |
| topic | Fourier series Particles |
| work_keys_str_mv | AT 355381bandemerhans onusingfourierseriesincharacterizingparticleshape AT albrechtmatthias onusingfourierseriesincharacterizingparticleshape AT krautandre onusingfourierseriesincharacterizingparticleshape |