PLsplitpointsofCPL

by Tim C. Lueth, SG-Lib Toolbox: SolidGeometry 5.6 - Geometric Queries
Introduced first in SolidGeometry 3.8, Creation date: 2017-04-23, Last change: 2025-09-14

returns splitpoints created by delaunaytriangulation

Description

The function uses delaunaytriangulation (R2013a). This automatically generates split points and appends these additional points to the end of the point list. This allows these split points to be easily extracted from TR2.Points.

See Also:

Example Illustration

missing image of PLsplitpointsofCPL(CPL)

Syntax

SPL=PLsplitpointsofCPL(CPL)

Input Parameter

CPL: CPL separated by NaN

Output Parameter

SPL: List of splitpoints created by delaunaytriangulation

Examples


PLsplitpointsofCPL(CPLsample(16))
PLsplitpointsofCPL([PLcircle(10);nan nan;PLcircle(10)+4])



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

Algorithm (Workflow)

This function, PLsplitpointsofCPL, is designed to extract split points generated by the Delaunay triangulation of a given set of points and edges. It is part of the SG-Library and was created by Tim Lueth.

Input Parameters

Output Results

Algorithm Steps

  1. The function begins by calling PLELofCPL(CPL) to separate the input CPL into points (PL) and edges (EL).
  2. It then suppresses a specific warning related to Delaunay triangulation using warning('off','MATLAB:delaunayTriangulation:ConsConsSplitWarnId').
  3. A Delaunay triangulation is performed on the points and edges using delaunayTriangulation(PL,EL), resulting in a triangulation object TR2.
  4. The split points are extracted from TR2.Points, starting from the index size(PL,1)+1 to the end, and stored in SPL.
  5. If no output is requested (nargout==0), the function visualizes the results using SGfigure, CPLplot, and PLplot to plot the original CPL in red and the split points in blue.

Example Usage

Examples of how to use the function include:

Algorithm explaination created using ChatGPT on 2025-08-19 01:13. (Please note: No guarantee for the correctness of this explanation)

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