Statistical process control by employing circular and spherical statistics for the interpretation of BRDF measurements

摘要

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 will be given. A family of scatter sensors is introduced. Finally, measurement results will be compared to circular statistical inference.!3