crosspointsVLFLofT
by Tim C. Lueth, SG-Lib Toolbox: SolidGeometry 5.6 - Kinematics and Frames
Introduced first in SolidGeometry 4.1, Creation date: 2017-08-11, Last change: 2025-09-14
returns the crossing points of the axis of a coordinate system
Description
For a rotational axis, typically the z values TVL(5:6,:) are important
For a prismatic axis, typically the x axis TVL(1:2) is important
See Also: crosspointVLFL
, crosspointVLFL2
, CVLofSGcutplanes
, CVLofconvexHull
Example Illustration
Syntax
[TVL,td,np,TN,FLi]=crosspointsVLFLofT(VL,FL,T,[])
Input Parameter
VL: | | Vertex List of Solid |
FL: | | Facet List of Solid |
T: | | Coordinate Frame [4x4] |
Property names
'center' : if 'center' is used; the Matrix TN contains the moved frame matrix
Output Parameter
TVL: | | Touch vertex list [6 x 3] |
td: | | distances between touch points [dx dy dz] |
np: | | center of crossing lines |
TN: | | Optional moved Frame matrix |
FLi: | | Facet index list corresponding to TVL |
Examples
[VL,FL]=SGsample(5); crosspointsVLFLofT(VL,FL,TofP([0 0 4]))
[VL,FL]=SGsample(29);
crosspointsVLFLofT(VL,FL,TofR(rot(0,0,0),[0 22 5]))
crosspointsVLFLofT(VL,FL,TofR(rot(0,pi/4,0),[0 22 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