Path: utzoo!utgpu!water!watmath!watdcsu!mmaclenn
From: mmaclenn@watdcsu.waterloo.edu (Mark MacLennan-Geog.)
Newsgroups: comp.graphics
Subject: Re: Fractals!
Summary: References on how to generate fractal landscapes
Keywords: Fractals, Stochastic Modeling
Message-ID: <4644@watdcsu.waterloo.edu>
Date: 26 Apr 88 06:56:00 GMT
References: <811@unioncs.UUCP> <1776@uhccux.UUCP> <5595@pyr.gatech.EDU>
Reply-To: mmaclenn@watdcsu.waterloo.edu (Mark MacLennan-Geog.)
Organization: U. of Waterloo, Ontario
Lines: 66



In article 811 (David Shinberg) writes:
>> I am starting a project that will entail displaying and generating fractal
>>landscapes on a Mac II......
>>Any Help will be greatly appreciated, even just a few good references that
>>have some algorithms explained.


Here's a quick compilation of a few of the numerous references which describe
how to generate fractal "landscapes" (I assume he means topography - there are
all sorts of other papers on how to create fractal trees, clouds, craters, etc.)
Many recent computer graphics texts now at least mention fractal surfaces.
The Lewis (1987) citation is particularly insightful as the author provides an 
excellent critique of the fractal approach.
Voss (1985) summarizes the various algorithms for creating fractal surfaces, of
which the midpoint-displacement method is the most widely implemented - e.g.
Jeffrey (1987).  [Code for generating a fractal mountain is also available in
Eric Grosse's "Standard Procedural Database" available from netlib's graphics
library - please DON'T send me mail on how to get this code, instead read about
netlib in the May 1987 issue of COMMUNICATIONS OF THE ACM, pp. 403-407.]

cheers,
 MARK

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Fellous, A., J. Granara and J. Hourcade. 1985. "Fractional Brownian Relief: An
	Exact Local Method", in PROCEEDINGS OF EUROGRAPHICS 85, North Holland,
	New York, pp. 353-363.
 
Fournier, A., D. Fussell and L. Carpenter. 1982. "Computer Rendering of 
	Stochastic Models", COMMUNICATIONS OF THE ACM, 25:6, pp. 371-384.

Fournier, A., D. Fussell and L. Carpenter. 1982. "Author's Rely to 'Comments
	on Computer Rendering of Fractal Stochastic Models' by B.B. Mandelbrot",
	COMMUNICATIONS OF THE ACM, 25:8, pp. 583-584.

Jeffrey, T. 1987. "Mimicking Mountains", BYTE, 12:12, pp. 337-344.

Lewis, J.P. 1987. "Generalized Stochastic Subdivision", ACM TRANSACTIONS ON
	GRAPHICS, 6:3, pp. 167-190.

Mandelbrot, B.B. 1975. "Stochastic Models for the Earth's Relief, the Shape and 
	the Fractal Dimension of the Coastlines, and the Number-Area Rule for 
	Islands", PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES USA, 
	72:10, pp. 3825-3829.
 
Mandelbrot, B.B. 1982. "Comment on 'Computer Rendering of Fractal Stochastic 
	Models'", COMMUNICATIONS OF THE ACM, 25:8, pp. 581-584.

Vandepanne, M. 1985. "3-D Fractals", CREATIVE COMPUTING, 11:7, pp. 78-82.

Voss, R. 1985. "Random Fractal Forgeries", in FUNDAMENTAL ALGORITHMS FOR 
	COMPUTER GRAPHICS, R.A. Earnshaw (ed.), NATO ASI Series F, Vol. 17,
	Springer-Verlag, New York, pp. 805-835.



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