Igumnov A.Y. About degree of nondegeneracy of a tetrahedron

https://doi.org/10.15688/mpcm.jvolsu.2019.4.1

Alexander Y. Igumnov
Candidate of Physical and Marhematical Sciences,
Lecturer of Department of the Economic Theory, Mathematics and Information Systems,
Volzhsky Institute of Economics, Pedagogy and Law
This email address is being protected from spambots. You need JavaScript enabled to view it.
ul. Sovetskaja, 6, 404111 Volzhsky, Russian Federation

Abstract. In work characteristic is offered nondegeneracies of a simplex, defined through ρ-distance between classes orthogonally equivalent families of points (numbered sets of tops of a simplex). This characteristic it can be used, in particular, for drawing up criteria of quality of a grid. In work the problem of calculation is investigated ρ-distances from the set tetrahedron (a 4-vertex simplex) to a set degenerate tetrahedrons. It is shown that this the task comes down to calculation of ρ-distance from this tetrahedron to families of points (on the plane) some three classes. For the correct 4-vertex tetrahedron the ρ-distance is calculated obviously.

Key words: Nondegeneracy of a tetrahedron, nondegeneracy of a triangle, triangulation, orientation saving, quality of a grid, generation of a grid, computer simulation, quasiisometric mappings.

Creative Commons License
About degree of nondegeneracy of a tetrahedron by Igumnov A.Y. is licensed under a Creative Commons Attribution 4.0 International License.

 

Citation in EnglishMathematical Physics and Computer Simulation. Vol. 22 No. 4 2019, pp. 5-29

 

Attachments:
Download this file (1_Igumnov.pdf) 1_Igumnov.pdf
URL: https://mp.jvolsu.com/index.php/en/component/attachments/download/899
590 Downloads