barytocartUVLdelaunay
by Tim C. Lueth, SG-Lib Toolbox: SolidGeometry 5.6 - Analytical Geometry
Introduced first in SolidGeometry 4.1, Creation date: 2017-09-11, Last change: 2025-09-14
converts a 2d Barycentric [u,v] vertex list into a 3D Cartesian coordinate list [x, y, z]
Description
Same as barytocartUVL but uses mathlabs triangulation concept
Expecting all vertices in the plane of a triangle p1p2p3, the coordinates of the vertices can be formulated as p1 + u*(p2-p1) + v* (p3-p1). The Barycentric coordinates are [u v].
Both procedures can be used to solve 3D problems in 2D
barytocartUVL is unable to detect the distance to the plane!
See Also: carttobaryVL
, barytocartUVL
Example Illustration
Syntax
VL=barytocartUVLdelaunay(p1,p2,p3,UVL)
Input Parameter
p1: | | Point 1 of the triangle |
p2: | | Point 2 of the triangle |
p3: | | Point 3 of the triangle |
UVL: | | Barycentric vertex list, all points in plane |
Output Parameter
VL: | | n x 3 list with [x y z] |
Examples
barytocartUVLdelaunay([0 0 0],[ 0 10 10],[0 0 20],[0 0.5])
Copyright 2017-2025 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