Instrumentation, Techniques, and Measurement

Monte Carlo simulation of three-dimensional measurements of translucent objects

[+] Author Affiliations
Peter Lutzke, Stefan Heist, Peter Kühmstedt

Fraunhofer Institute for Applied Optics and Precision Engineering, Albert-Einstein-Straße 7, Jena 07745, Germany

Richard Kowarschik

Friedrich Schiller University, Jena Institute of Applied Optics, Fröbelstieg 1, Jena 07743, Germany

Gunther Notni

Technical University Ilmenau, Group for Quality Assurance and Industrial Image Processing, Gustav-Kirchhoff-Platz 2, Ilmenau 98693, Germany

Opt. Eng. 54(8), 084111 (Aug 21, 2015). doi:10.1117/1.OE.54.8.084111
History: Received March 20, 2015; Accepted August 5, 2015
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Abstract.  In a previous article, we described the deviation between the real and the measured object surface that occurs when a translucent object is scanned by an active triangulation system. This error depends on the angle between the measurement direction and the object’s surface normal, the surface reflection behavior, which can be described by a bidirectional reflectance distribution function, and the light penetration behavior. In general, the error is small if the surface is perpendicular to the measurement direction; it increases if the surface is tilted and decreases again for flat angles. This error curve is additionally affected by the surface roughness. The angle dependence is more distinct for smooth surfaces. In order to predict and compensate for the error, it is necessary to understand the error-forming process. Therefore, Monte Carlo simulations of several measurements were performed. As the computational cost is very high for three-dimensional simulations, most of the simulations were performed in two-dimensional space. We present the results of these simulations and discuss how the measurement error depends on the surface roughness, the measurement direction, and the scattering behavior of the material.

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© 2015 Society of Photo-Optical Instrumentation Engineers

Citation

Peter Lutzke ; Stefan Heist ; Peter Kühmstedt ; Richard Kowarschik and Gunther Notni
"Monte Carlo simulation of three-dimensional measurements of translucent objects", Opt. Eng. 54(8), 084111 (Aug 21, 2015). ; http://dx.doi.org/10.1117/1.OE.54.8.084111


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