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Proceedings Paper

Application of circular and spherical statistics for the interpretation of BRDF measurements
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Paper Abstract

It is pointed out that the von-Mises-distribution can replace the Gaussian distribution for circular or spherical vector fields, i.e. BRDF data obtained from a variety of technical surfaces by stray light measuring or sensing. For the purpose of in line quality control formulae for the parameters corresponding to mean and variance in Gaussian distributions as well as parameter tests and confidence intervals for circular unimodal vector fields are given. Finally, measurement and simulation results are compared to circular statistical inference.

Paper Details

Date Published: 26 September 1997
PDF: 12 pages
Proc. SPIE 3141, Scattering and Surface Roughness, (26 September 1997); doi: 10.1117/12.287794
Show Author Affiliations
Hendrik Rothe, Univ. of the Federal Armed Forces (Germany)
Dorothee Hueser, Univ. of the Federal Armed Forces (Germany)


Published in SPIE Proceedings Vol. 3141:
Scattering and Surface Roughness
Zu-Han Gu; Alexei A. Maradudin, Editor(s)

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