N.P. Kopytov, E.A. Mityushov. The method for uniform distribution of points on surfaces in multi-dimensional Euclidean space


Natural Sciences / Mathematics / Statistics

Submitted on: Nov 26, 2013, 09:24:53

Description: The problem of uniform distribution of points on surfaces in multi-dimensional Euclidean space is considered. Method for uniform distribution of points on analytic surfaces defined by the parametric method in multi-dimensional Euclidean space is proposed. The proposed method can be used for uniform distribution of points on the hypersphere and hyperellipsoid, as an additional method to already existing, and for the uniform distribution of points on the other parametric surfaces in a multidimensional Euclidean space. Due to generality the proposed method can be also used for uniform distribution of points on curves in a multi-dimensional Euclidean space. The method also works in three-dimensional physical space which is an ordinary for the human perception, and certainly it can be applied to a uniform distribution of points on curves and surfaces in three dimensional space for various scientific problems.

The abstract of this article will be published in the November 2013 issue of "Intellectual Archive Bulletin", ISSN 1929-1329.

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

To read the article posted on Intellectual Archive web site please click the link below.

The method for uniform distribution of points on surfaces in multi-dimensional Euclidean space.pdf



© 2011-2017 Shiny World Corp. All rights reserved. To reach us please send an e-mail to support@IntellectualArchive.com