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Issue No.05 - September/October (1993 vol.13)
pp: 61-67
ABSTRACT
<p>Two basic components are required for generating a geometric fractal: an initiator and a generator. Multiple traversal strategies for both initiator and generator segments are proposed. It is shown how to generate many fractal images by changing the traversal strategies for the given initiator and/or generator. These fractals are referred to as traversed geometric fractals. A notation for representing and identifying segments of the initiator and the generator is presented. This notation is essential in producing traversed geometric fractals and deriving their properties. The generators are classified into various categories useful in analyzing the generated fractals' visual features.</p>
CITATION
Uday G. Gujar, Virendra C. Bhavsar, Sthephen Y.M. Choi, Prem K. Kalra, "Traversed Geometric Fractals", IEEE Computer Graphics and Applications, vol.13, no. 5, pp. 61-67, September/October 1993, doi:10.1109/38.232099
REFERENCES
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3. H.O. Peitgen and P.H. Richter,The Beauty of Fractals: Images of Complex Dynamical Systems, Springer-Verlag, Berlin, 1986.
4. C.A. Pickover,Computers, Pattern, Chaos and Beauty, St. Martin's Press, New York, 1990.
5. U.G. Gujar and V.C. Bhavsar, "Fractals fromz←zα+ cin the Complexc-plane,"Computers and Graphics, Vol. 15, No. 3, 1991, pp. 441-449.
6. S.V. Dhurandhar, V.C. Bhavsar, and U.G. Gujar, "Analysis ofz- plane Fractal Images fromz←zα+ cforα<0,"Computers and Graphics, Vol. 17, No. 1, 1993, pp. 89-94.
7. A. Fournier, D. Fussell, and L. Carpenter, "Computer rendering of stochastic models,"Commun. ACM, vol. 25, pp. 371-384, June 1982.
8. R.F. Voss, "Random Fractal Forgeries," Siggraph 85 course notes on "Fractals," July 1985, ACM, New York.
9. S.Y.M. Choi,Geometric Fractals, Master's thesis, School of Computer Science, University of New Brunswick, Fredericton, N.B., Canada, 1989.
10. U.G. Gujar, V.C. Bhavsar, and S.Y.M. Choi, "Rangoli,"Proc. APICS Ann. Computer Science Conf., Universite de Moncton, Moncton, N.B., Canada, Nov. 1990, pp. 1-15.
11. U.G. Gujar, V.C. Bhavsar, and S.Y.M. Choi, "Properties of Traversed Geometric Fractals," in preparation.
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