Open AccessGeometric modeling of torse surfaces in BN-calculus
Author(s) -
E. V. Konopatskiy,
А. А. Бездитный,
A. I. Litvinov
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1791/1/012050
Subject(s) - tangent , geometric modeling , mathematics , point (geometry) , geometry , geometric design , enhanced data rates for gsm evolution , surface (topology) , transcendental number , calculus (dental) , mathematical analysis , computer science , artificial intelligence , medicine , dentistry
The paper presents a general approach to geometric modelling of torse surfaces in BN-calculus, based on the definition of the torse as the geometric location of tangents to its edge of return. In this paper, a method for determining the curves – edges of the return of the torse surface, using the geometric properties of the point definition of the curve in plane and spatial simplices, is proposed in general form. Examples of constructing geometric models of torse surfaces, for which algebraic and transcendental spatial curves were used as the return edge, are given.