Designing a mirror to realize a given projection

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 22, Issue 2, 2005, Pages 323-330

  Hicks, R Andrew ^a  

^a DREXEL UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; IMAGING SYSTEMS; MATHEMATICAL MODELS; MIRRORS; OPTICAL DESIGN; OPTICAL SENSORS; PARTIAL DIFFERENTIAL EQUATIONS; VECTORS;

CATADIOPTRIC SENSORS; VECTOR FIELD METHOD;

GEOMETRICAL OPTICS;

EID: 13644265996     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.22.000323     Document Type: Article

References (22)

1. R. Kingslake, A History of the Photographic Lens (Academic, Boston, Mass., 1989).
2. L. H. Kleinschmidt, "Apparatus for producing topographic views," U.S. patent 994,935, June 13, 1911.
3. The page of the catadioptric sensor design is available at http://www.cs.drexel.edu/ahicks/design/design.html, 2003.
4. J. H. McDermit and T. E. Horton, "Reflective optics for obtaining prescribed irradiative distributions from collimated sources," Appl. Opt. 13, 1444-1450 (1974).
5. D. L. Shealy, " Theory of geometrical methods for design of laser beam shaping systems," in Laser Beam Shaping, E. M. Dickey and S. C. Holswade, eds., Proc. SPIE 4095, 1-15 (2000).
6. R. Winston, Selected Papers on Nonimaging Optics (SPIE Optical Engineering Press, Bellingham, Wash., 1995).
7. D. G. Burkhard and D. L. Shealy, "Design of reflectors which will distribute sunlight in a specified manner," J. Solar Energy 17, 221 - 227 (1975).
8. H. Ries and J. Muschaweck, "Tailored freeform optical surfaces," J. Opt. Soc. Am. A 19, 590 - 595 (2002).
9. F. Benford, "Apparatus employed in computing illuminations," U.S. patent 2,371,495, March 13, 1945.
10. S. Baker and S. Nayar, "A theory of catadioptric image formation," in Proceedings of the International Conference on Computer Vision (Narosa, Bombay, India, 1998), pp. 35 - 42.
11. J. S. Chahl and M. V. Srinivasan, "Reflective surfaces for panoramic imaging," Appl. Opt. 36, 8275 - 8285 (1997).
12. H. Buchdahl, An Introduction to Hamiltonian Optics (Dover, New York, 1993).
13. O. N. Stavroudis, The Optics of Rays, Wavefronts, and Caustics (Academic, New York, 1972).
14. R. A. Hicks and R. Perline, "Geometric distributions and catadioptric sensor design," in Proceedings of the Computer Vision Pattern Recognition Conference (IEEE Computer Society Press, Los Alamitos Calif., 2001), pp. 584 - 589.
15. R. A. Hicks, "Differential methods in catadioptric sensor design with applications to panoramic imaging," arXiv preprint cs.CV/ 0303024, http://www.arxiv.org/abs/cs.CV/0303024, 2003.
16. R. Swaminathan, S. Nayar, and M. Grossberg, "Framework for designing catadioptric projection and imaging systems," in Proceedings of the IEEE International Workshop on Projector - Camera Systems (IEEE Computer Society Press, Los Alamitos, Calif., 2003).
17. M. Srinivasan, "A new class of mirrors for wide-angle imaging," in Proceedings of the IEEE Workshop on Omnidirectional Vision (IEEE Computer Society Press, Los Alamitos, Calif., 2003).
18. M. Halstead, B. Barsky, S. Klein, and R. Mandell, "Reconstructing curved surfaces from specular reflection patterns using spline surface fitting of normals," in Proceedings of the 23rd Annual Conference on Computer Graphics and Interactive Techniques (Association of Computing Machinery Press, New York, 1996), pp. 335 - 342.
19. H. Flanders, Differential Forms with Applications to the Physical Sciences (Academic, New York, 1963).
20. F. Warner, Foundations of Differentiable Manifolds and Lie Groups (Springer-Verlag, New York, 1983).
21. A. Chorin and J. Marsden, A Mathematical Introduction to Fluid Mechanics (Springer-Verlag, New York, 1993).
22. W. Cheney, Analysis for Applied Mathematics (Springer-Verlag, New York, 2001).