Integration in the Fourier domain for restoration of a function from its slope : comparison of four methods
Campos Coloma, Juan (Universitat Autònoma de Barcelona. Departament de Física)
Yaroslavsky, Leonid P. (Tel Aviv University. Department of Interdisciplinary Studies)
Moreno Soriano, Alfonso (Universitat Autònoma de Barcelona. Departament de Física)
Yzuel Giménez, María Josefa (Universitat Autònoma de Barcelona. Departament de Física)

Date:	2002
Abstract:	In some measurement techniques the profile, f(x), of a function should be obtained from the data on measured slope f'(x) by integration. The slope is measured in a given set of points, and from these data we should obtain the profile with the highest possible accuracy. Most frequently, the integration is carried out by numerical integration methods [Press et al. , Numerical Recipes: The Art of Scientific Computing (Cambridge U. Press, Cambridge, 1987)] that assume different kinds of polynomial approximation of data between sampling points. We propose the integration of the function in the Fourier domain, by which the most-accurate interpolation is automatically carried out. Analysis of the integration methods in the Fourier domain permits us to easily study and compare the methods' behavior.
Grants:	Ministerio de Ciencia y Tecnología BFM2000-0036-C02-01
Note:	Altres ajuts: European Community project CTB556-01-4175.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Òptica
Published in:	Optics letters, Vol. 27, No. 22 (15 November 2002) , p. 1986-1988, ISSN 0146-9592

DOI: 10.1364/OL.27.001986

3 p, 93.3 KB

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