Skew Ray Tracing and Sensitivity Analysis of Paraboloidal Optical Boundary Surfaces

Abstract:

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One of the most popular mathematical tools in fields of robotics, mechanisms and computer graphics is the 4x4 homogeneous transformation matrix. In previous work we applied this matrix to the optical domains of flat and spherical surfaces for: (1) skew ray tracing to determine the paths of skew rays being reflected/refracted; (2) sensitivity analysis to determine by direct mathematical analysis the differential change of incident point and reflected/refracted vector with respect to change in incident light source. The present work extends our previous work to include the case of parabaloidal boundary surfaces.

Info:

Periodical:

Materials Science Forum (Volumes 505-507)

Edited by:

Wunyuh Jywe, Chieh-Li Chen, Kuang-Chao Fan, R.F. Fung, S.G. Hanson,Wen-Hsiang Hsieh, Chaug-Liang Hsu, You-Min Huang, Yunn-Lin Hwang, Gerd Jäger, Y.R. Jeng, Wenlung Li, Yunn-Shiuan Liao, Chien-Chang Lin, Zong-Ching Lin, Cheng-Kuo Sung and Ching-Huan Tzeng

Pages:

613-618

DOI:

10.4028/www.scientific.net/MSF.505-507.613

Citation:

C. K. Sung and P. D. Lin, "Skew Ray Tracing and Sensitivity Analysis of Paraboloidal Optical Boundary Surfaces", Materials Science Forum, Vols. 505-507, pp. 613-618, 2006

Online since:

January 2006

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Price:

$35.00

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