TLofPL

by Tim C. Lueth, SG-Lib Toolbox: SolidGeometry 5.6 - Kinematics and Frames
Introduced first in SolidGeometry 5.1, Creation date: 2021-02-28, Last change: 2025-09-15

returns transformation frames for a PL

Description

The ez vector shows always into [0 0 1], ex shows to next point (usem=false) OR ey shows to the center of rotation (usem=true). Both is different to TLofCVL (ez show to next point)
For creating TL lists of hust copyes of a frame use TcopyVLez
Much simpler function for 2D cases than TLofCVL
The orientation of the x-axis is always the direction of the next edge
The orientation of the z-axis is always [0 0 1]


See Also: TcopyVLez , TLofCVL , VLdistance

Example Illustration

missing image of TLofPL(PL,usem,nonc,z,

Syntax

[TL2,TL3]=TLofPL(PL,[usem,nonc,z,"TLofCVL"])

Input Parameter

PL: Point list
usem: if true (default is false); the y vector shows to the center of rotation, default is x shows towrds the next point
nonc: if true (default), the TL will be elongated by the last point (and is not closed);
z: z value for T3 cases; default is 0
"TLofCVL": if used, the output (using true,true) is similar to TLofCVL

Output Parameter

TL2: [3x3x n] 2D HT matrix array
TL3: [4x4x n] 3D HT matrix array

Examples


testfunctTL('TLofPL(PLcircle(40,8),#1,#2), view(0,90)',[0 1],[0 1]) % Understand all conditions

TLofPL(PLsquare([30 20]),true,false) % understand the four conditions
TLofPL(PLsquare([30 20])) % ex to next point, but not for the last point
TLofPL(PLsquare([30 20]),true) % ex to next point, but the angle is the mean value at edges
TLofPL(PLsquare([30 20]),false,false) % ex to next point, also for last point (close)
TLofPL(PLsquare([30 20]),true,false) % close contour with mean values

TL3=Trotate(TL3,'x',pi/2);TL3=Trotate(TL3,'y',pi/2); % compatibility with TLofCVL
TLofPL(PLcircle(50,12),true,true,'TLofCVL'), TLP=ans; TLofCVL(PLcircle(50,12)+ [0 0]), TLC=ans; dbplot(TLP,TLC) %% Compatiblility



Copyright 2021-2025 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