H. Buchdahl, An Introduction to Hamiltonian Optics (Dover, New York, 1993).
O. N. Stavroudis, The Optics of Rays, Wavefronts, and Caustics (Academic, New York, 1972).
R. A. Hicks, 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.
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.
R. Swaminathan, S. Nayar, 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).
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).
M. Halstead, B. Barsky, S. Klein, 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.
H. Flanders, Differential Forms with Applications to the Physical Sciences (Academic, New York, 1963).
F. Warner, Foundations of Differentiable Manifolds and Lie Groups (Springer-Verlag, New York, 1983).
A. Chorin, J. Marsden, A Mathematical Introduction to Fluid Mechanics (Springer-Verlag, New York, 1993).
W. Cheney, Analysis for Applied Mathematics (Springer-Verlag, New York, 2001).
F. Benford, “Apparatus employed in computing illuminations,” U.S. patent2,371,495, March13, 1945.
S. Baker, S. Nayar, “A theory of catadioptric image formation,” in Proceedings of the International Conference on Computer Vision (Narosa, Bombay, India, 1998), pp. 35–42.
R. Kingslake, A History of the Photographic Lens (Academic, Boston, Mass., 1989).
L. H. Kleinschmidt, “Apparatus for producing topographic views,” U.S. patent994,935, June13, 1911.
The page of the catadioptric sensor design is available at http://www.cs.drexel.edu/ahicks/design/design.html , 2003.
D. L. Shealy, “Theory of geometrical methods for design of laser beam shaping systems,” in Laser Beam Shaping, E. M. Dickey, S. C. Holswade, eds., Proc. SPIE4095, 1–15 (2000).
R. Winston, Selected Papers on Nonimaging Optics (SPIE Optical Engineering Press, Bellingham, Wash., 1995).