Skew ray tracing and sensitivity analysis of paraboloidal optical boundary surfaces

Chi Kuen Sung, Psang-Dain Lin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

One of the most popular mathematical tools in fields of robotics, mechanisms and computer graphics is the 4×4 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.

Original languageEnglish
Title of host publicationProgress on Advanced Manufacture for Micro/Nano Technology 2005 - Proceedings of the 2005 International Conference on Advanced Manufacture
Pages613-618
Number of pages6
Volume505-507
EditionPART 1
Publication statusPublished - 2006
Event2005 International Conference on Advanced Manufacture, ICAM2005 - Taipei, R.O.C., Taiwan
Duration: 2005 Nov 282005 Dec 2

Publication series

NameMaterials Science Forum
NumberPART 1
Volume505-507
ISSN (Print)0255-5476

Other

Other2005 International Conference on Advanced Manufacture, ICAM2005
CountryTaiwan
CityTaipei, R.O.C.
Period05-11-2805-12-02

Fingerprint

Ray tracing
Sensitivity analysis
Computer graphics
Light sources
Robotics

All Science Journal Classification (ASJC) codes

  • Materials Science(all)

Cite this

Sung, C. K., & Lin, P-D. (2006). Skew ray tracing and sensitivity analysis of paraboloidal optical boundary surfaces. In Progress on Advanced Manufacture for Micro/Nano Technology 2005 - Proceedings of the 2005 International Conference on Advanced Manufacture (PART 1 ed., Vol. 505-507, pp. 613-618). (Materials Science Forum; Vol. 505-507, No. PART 1).
Sung, Chi Kuen ; Lin, Psang-Dain. / Skew ray tracing and sensitivity analysis of paraboloidal optical boundary surfaces. Progress on Advanced Manufacture for Micro/Nano Technology 2005 - Proceedings of the 2005 International Conference on Advanced Manufacture. Vol. 505-507 PART 1. ed. 2006. pp. 613-618 (Materials Science Forum; PART 1).
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Sung, CK & Lin, P-D 2006, Skew ray tracing and sensitivity analysis of paraboloidal optical boundary surfaces. in Progress on Advanced Manufacture for Micro/Nano Technology 2005 - Proceedings of the 2005 International Conference on Advanced Manufacture. PART 1 edn, vol. 505-507, Materials Science Forum, no. PART 1, vol. 505-507, pp. 613-618, 2005 International Conference on Advanced Manufacture, ICAM2005, Taipei, R.O.C., Taiwan, 05-11-28.

Skew ray tracing and sensitivity analysis of paraboloidal optical boundary surfaces. / Sung, Chi Kuen; Lin, Psang-Dain.

Progress on Advanced Manufacture for Micro/Nano Technology 2005 - Proceedings of the 2005 International Conference on Advanced Manufacture. Vol. 505-507 PART 1. ed. 2006. p. 613-618 (Materials Science Forum; Vol. 505-507, No. PART 1).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Sung CK, Lin P-D. Skew ray tracing and sensitivity analysis of paraboloidal optical boundary surfaces. In Progress on Advanced Manufacture for Micro/Nano Technology 2005 - Proceedings of the 2005 International Conference on Advanced Manufacture. PART 1 ed. Vol. 505-507. 2006. p. 613-618. (Materials Science Forum; PART 1).