FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2009, VOLUME 15, NUMBER 5, PAGES 63-94

Computer modeling of curves and surfaces

A. O. Ivanov
A. A. Tuzhilin
A. T. Fomenko

Abstract

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The first part of this work deals with the investigation and modeling of foliations generated by dynamic systems on their phase spaces and configuration spaces. In the second part, we speak in more details about curves and surfaces in three-dimensional space and their geometrical characteristics which can be useful for modeling of polymers conformation.

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