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

Hendrik Rothe; Dorothee Hueser

doi:10.1117/12.287794

26 September 1997 Application of circular and spherical statistics for the interpretation of BRDF measurements

Hendrik Rothe, Dorothee Hueser

Proceedings Volume 3141, Scattering and Surface Roughness; (1997) https://doi.org/10.1117/12.287794
Event: Optical Science, Engineering and Instrumentation '97, 1997, San Diego, CA, United States

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.

Citation Download Citation

Hendrik Rothe and Dorothee Hueser "Application of circular and spherical statistics for the interpretation of BRDF measurements", Proc. SPIE 3141, Scattering and Surface Roughness, (26 September 1997); https://doi.org/10.1117/12.287794

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