N.P. Kopytov, E.A. Mityushov. Universal Algorithm Of Uniform Distribution Of Points On Arbitrary Analitic Surfaces In Three-dimensional Space


Natural Sciences / Mathematics / Statistics

Submitted on: Jun 17, 2012, 14:14:28

Description: The problem of uniform distribution of points on arbitrary analytic surfaces in three-dimensional space is considered. A universal algorithm for uniform distribution of points on analytic surfaces defined by the parametric method is proposed. Neumann's method for generating a two-dimensional random variable by using a known density function of the joint distribution is described. Graphical presentations of the proposed algorithm obtained with the help of Wolfram Mathematica 7.0 are demonstrated. The examples of uniform distribution of points on surfaces of sphere, torus, helicoid, "falling drop" and surface of Klein bottle are presented.

The abstract of this article has been published in the "Intellectual Archive Bulletin" , June 2012, ISSN 1929-1329.

The Library and Archives Canada reference page: collectionscanada.gc.ca/ourl/res.php?url_ver=Z39.88......

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UNIVERSAL ALGORITHM OF UNIFORM DISTRIBUTION OF POINTS ON ARBITRARY ANALITIC SURFACES IN THREE-DIMENSIONAL SPACE.pdf



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