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Issue No.02 - March (1995 vol.15)
pp: 18-21
ABSTRACT
A nonperiodic near-Gaussian random number generator is introduced for the purpose of extraterrestrial terrain generation. In particular, the logistic formula and logit transform are used to produce interesting landscapes. The described approach is easily utilized in laboratory and classroom demonstrations, and has the potential for producing a wide range of fanciful terrain structures for movie special effects houses.
CITATION
Clifford A. Pickover, "Generating Extraterrestrial Terrain", IEEE Computer Graphics and Applications, vol.15, no. 2, pp. 18-21, March 1995, doi:10.1109/38.365000
REFERENCES
1. A. Fournier, D. Fussel, and L. Carpenter, "Computer Rendering of Stochastic Models," Comm. ACM, vol. 25, no. 6, pp. 371-384, 1982.
2. B. Mandelbrot, The Fractal Geometry of Nature, Freeman, New York, 1983.
3. R. Voss, “Random Fractal Forgeries,” Fundamental Algorithms for Computer Graphics, in R. Earnshaw, ed., Springer, Berlin, 1985, pp. 805-835.
4. F. Musgrave, C. Kolb, and R. Mace, “The Synthesis and Rendering of Eroded Fractal Terrain,” Computer Graphics (Proc. Siggraph), Vol. 23, No. 3, 1989, pp. 41-48.
5. C. Pickover, Computers, Pattern, Chaos, and Beauty, St. Martin’s Press, New York, 1990. Also, C. Pickover, “A Vacation on Mars (An Artist’s Journey in a Computer Graphics World),” Computers and Graphics, Vol. 16, No. 1, 1992, pp. 9-13.
6. S. Ulam and J. von Neumann, “On Combination of Stochastic and Deterministic Processes,” Bull. Amer. Math. Soc., Vol. 53, 1947, p. 1, 120.
7. P. Stein and S. Ulam, “Nonlinear Transformation Studies on Electronic Computers,” Rozprawy Matematyczne, Vol. 39, 1964, p. 1.
8. J. Collins et al., “A Random Number Generator Based on the Logit Transform of the Logistic Variable,” Computers in Physics, Vol. 6, No. 6, 1992, pp. 630-632.
9. Peitgen and D. Saupe, eds., The Science of Fractal Images.New York: Springer-Verlag, 1988.
10. C. Pickover, Keys to Infinity, Wiley, New York, to be published in 1995.
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