naim@nucsrl.UUCP (03/22/87)
A while ago, I posted a request for references on fractal geometry. Well, I have finally gotten some time so that I can post the references that I collected. I want to thank Doug Merritt (ucbvax!ingres!hatcher), Bill Wohler (ihnp4!ames!spam.istc.sri.com!wohler) and Srinivas (srinivas@sally.utexas.edu) for replyling. Doug Merritt also suggested some mathematical articles, which I have not merged into the main body of the references because I was not interested in these: >A few selections from Falconers references: [Falconers is in the main refer(1) text below, others aren't -Naim] >Geometric Measure Theory; Federer, H. 1969 >The Universal Metric Properties of NonLinear Transformations; 1979 > Feigenbaum, M.J. Journal Stat. Physics, 21, 669-706 >The Lyapunov Dimension of Strange Attractors; 1983 > Frederickson, P. et al; J. Diff. Equations, 49, 185-207 >On the Hausdorf Dimension of Fractal Attractors, 1981 > Grassberger, P. Jour Stat Phys 26, 173-9 Here are the main references, in refer(1) format. Enjoy. Naim Abdullah Dept. of EECS Northwestern University {ihnp4, chinet}!nucsrl!naim ===========================Clip here===================================== %A B. Mandelbrot %T Fractals: Form, Chance and Dimension %I W.H.Freeman and Co. %C San Fransico %D 1977 %K MAND77 %A B. Mandelbrot %T The Fractal Geometry of Nature %I W.H.Freeman and Co. %C San Francisco %D 1982 %K MAND82 %A W. Reeves %T Particle Systems - A Technique for Modeling a Class of Fuzzy Objects %J Computer Graphics %V 17, No. 3 %D July 1983 %K REEVES83 %A C. Reynolds %T Arch Fractal %J Computer Graphics %V 15, No. 3 %D August 1981 %O Front Cover %K REYNOLDS81 %A A. R. Smith %T Plants, Fractals and Formal Languages %J Computer Graphics %V 18, No. 3 %D July 1984 %K SMITH84 %A S. Demko %A L. Hodges %A B. Naylor %T Construction of Fractal Objects with Iterated Function Systems %J Computer Graphics %V 19, No. 3 %D July 1985 %K DEMKO85 %A P. E. Oppenheimer %T Real Time Design and Animation of Fractal Plants and Trees %J Computer Graphics %V 20, No. 4 %D August 1986 %K OPPENHEIMER86 %A C. Bouville %T Bounding Ellipsoids for Ray-Fractal Intersection %J Computer Graphics %V 19, No. 3 %D July 1985 %K BOUVILLE85 %A A. Fournier %A D. Fussell %A L. Carpenter %T Computer Rendering of Stochastic Models %J Commun. ACM %V 25, No. 6 %D June 1982 %K FOURNIER82 %A J. Hutchinson %T Fractals and Self-similarity %J Indiana University Journal of Mathematics %V 30 %P 713-747 %D 1981 %K HUTCHINSON81 %A R. F. Voss %T Fractal Lunar Mist %O Cover picture for SIGGRAPH '83 Proceedings %D July 1983 %K VOSS83 %A A. R. Smith %A L. Carpenter %A P. Cole %A T. Duff %A C. Evans %A T. Porter %A W. Reeves %T Genesis Demo %J Star Trek II: The Wrath of Khan %I Paramount %D June 1982 %K GENESIS %A A. Norton %T Generation and Display of Geometric Fractals in 3-D %J Computer Graphics %V 16, No. 3 %D July 1982 %K NORTON82 %A K. J. Falconer %T The Geometry of Fractal Sets %I Cambridge University Press %D 1985 %K FALCONER85 %A H. O. Peitgen %A P. H. Richter %T The Beauty of Fractals %I Springer Verlag %D 1986 %K PEITGEN86 %A R. Cook %A L. Carpenter %A T. Porter %A W. Reeves %A D. Salesin %A A. R. Smith %T Road to Point Reyes %D July 1983 %O Title page picture for SIGGRAPH '83 Proceedings %K COOK83 %A S. L. Stepoway %A D. L. Wells %A G. R. Kane %T An Architecture for Efficient Generation of Fractal Surfaces %J Proceedings of the 1983 International Conference on Parallel Processing %P 261-268 %D August 1983 %K STEPOWAY83