1 March 2005 Frequency response of five integration methods to obtain the profile from its slope
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Optical Engineering, 44(3), 033604 (2005). doi:10.1117/1.1872896
Abstract
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.
Alfonso Moreno, Juan Campos, Leonid P. Yaroskavsky, "Frequency response of five integration methods to obtain the profile from its slope," Optical Engineering 44(3), 033604 (1 March 2005). http://dx.doi.org/10.1117/1.1872896
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KEYWORDS
Fourier transforms

Numerical integration

Optical engineering

Digital filtering

Convolution

Data integration

Point spread functions

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