DTofPLELz

by Tim C. Lueth, SG-Lib Toolbox: SolidGeometry 5.6 - Modeling function
Introduced first in SolidGeometry 1.1, Creation date: 2014-01-14, Last change: 2025-09-14

returns a Delaunay Tetrahedron for a point list and edge list

Description

Work in progress
First experiment to switch from surfaces to tetrahedron representation. In contrast to a solid geometry, a Delaunay Tetrahedron is not only the surface desciption, but the complete solid consist of tetrahedron, which outer (free hull) is the solid geoemetry surface
If a triangle [1 2 3] is extruded using the points [4 5 6]
we get three tetrahedrons [4 1 3 2;6 4 3 2; 6 5 4 2]

We will need several functions of this type:
DTofPLELz (PL,EL,z)
DTofCPLz (CPL,z)
DTofPLFLz

Work was interrrupted on 2014-01-14

Example Illustration

 missing image of DTofPLELz(PL,EL,z)

Syntax

dt=DTofPLELz(PL,EL,z)

Input Parameter

PL: Point list for generating a delaunay tesselation in 2D
EL: Edge list for the boundary constraints in 2D
z: for the height in z of the solid

Output Parameter

dt:

Examples

PL=[0 0; 10 0; 0 5]
DTofPLELz (PL,ELofn(3),10)




Copyright 2014-2025 Tim C. Lueth. All rights reserved. The code is the property of Tim C. Lueth and may not be redistributed or modified without explicit written permission. This software may be used free of charge for academic research and teaching purposes only. Commercial use, redistribution, modification, or reverse engineering is strictly prohibited. Access to source code is restricted and granted only under specific agreements. For licensing inquiries or commercial use, please contact: Tim C. Lueth

Last html export of this page out of FM database by TL: 2025-09-21