Frequency response of five integration methods to obtain the profile from its slope

Alfonso Moreno*, Juan Campos, L. R. Yaroslavsky

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


The objective of profilometry is to obtain the topography of a surface. Some methods are based on the measurement of the slope of the test surface. Then, by integration the profile of a surface can be determined. The slope is measured in a given set of points and from these data it is necessary to obtain the profile with the highest possible accuracy. Most frequently, the integration is carried out by numerical integration methods that assume different kinds of polynomial approximation of data between sampling points. We propose the integration of the function by means of processing in the Fourier domain. The analysis of the different integration methods in the Fourier domain enables us to easily study and compare their performance.

Original languageEnglish
Pages (from-to)1-8
Number of pages8
JournalOptical Engineering
Issue number3
StatePublished - Mar 2005


FundersFunder number
Comisión Interministerial de Ciencia y TecnologíaBFM2003-006273-C02-01, CTB556-01-4175


    • Deflectometry
    • Fourier transform
    • Integration methods


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