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Issue No.02 - March/April (2001 vol.21)
pp: 70-78
ABSTRACT
<p>The deriviation and analysis of two of the fundamental transformations in the graphics pipeline—perspective and pseudoperspective—can be simplified by applying the same elementary rules of arithmetic that govern the numerical properties of batting averages in baseball.</p>
CITATION
Ron Goldman, "Baseball Arithmetic and the Laws of Pseudoperspective", IEEE Computer Graphics and Applications, vol.21, no. 2, pp. 70-78, March/April 2001, doi:10.1109/38.909017
REFERENCES
1. D.H. Nathan, Baseball Quotations, McFarland and Company, Jefferson, N.C., 1991.
2. S. Holtz, ed., Baseball Almanac, Oct.13 1999, http:/baseball-almanac.com/.
3. J.R. Newman, ed., "Commentary on Durer and the Mathematics of Painting," The World of Mathematics, vol. 1, Simon and Schuster, New York, 1956, pp. 600-602.
4. E. Linn, Hitter: The Life and Turmoils of Ted Williams, Harcourt Brace, New York, 1993.
5. K. Clark, Total Baseball, 6th edition, Dec.1 1999, http:/www.totalbaseball.com/.
6. E. Panofsky, "Durer as a Mathematician," The World of Mathematics, vol. 1, J.R. Newman, ed., Simon and Schuster, New York, 1956, pp. 603-621.
7. R. Patterson and M. Penna, Projective Geometry and Its Applications in Computer Graphics, Prentice Hall, Upper Saddle River, N.J., 1986.
8. J.D. Foley,A. van Dam,S.K. Feiner,, and J.F. Hughes,Computer Graphics: Principles and Practice,Menlo Park, Calif.: Addison-Wesley, 1990.
9. T. DeRose, "A Coordinate-Free Approach to Geometric Programming," Contemporary Approaches to Geometry for Computer Graphics and Computer-Aided Design, Siggraph 89 Short Course No. 14, ACM Press, New York, Aug. 1989. (A condensed version also appeared in Theory and Practice of Geometric Modeling, W. Strasser and H. Seidel, eds., Springer Verlag, Berlin, 1989, pp. 291-306.)
10. R.N. Goldman, "The Ambient Spaces of Computer Graphics and Geometric Modeling," IEEE Computer Graphics and Applications, vol. 20, no. 2, Mar./Apr. 2000, pp. 76-84.
11. R.N. Goldman, "More Matrices and Transformations: Shear and Pseudoperspective," Graphics Gems II, J. Arvo, ed., Academic Press, Boston, 1991, pp. 338-341.
12. S.J. Gould, "The Model Batter: The Extinction of 0.400 Hitting and the Improvement of Baseball," Full House: The Spread of Excellence from Plato to Darwin, Harmony Books, New York, 1996.
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