FLplaneofVLCiL
by Tim C. Lueth, SG-Lib Toolbox: SolidGeometry 5.6 - Auxiliary function
Introduced first in SolidGeometry 1.0, Creation date: 2012-12-29, Last change: 2025-09-14
returns facets to close an inner and an out contour
Description
This procedure can be used when inside of a large list of vertices, the surface between two contours should be closed by DelaunayTri. It is used in VLFLpost.
End of 2012, we reach the state that a lot of similar procedures exist for closing contours. Is is based on the fact, that now, first vertices are combined and then later the surface is closed.
Example Illustration
Syntax
FLc=FLplaneofVLCiL(VL,indO,indI)
Input Parameter
VL: | | Vertex list |
indO: | | Vertex contour index list that describes the outer contour |
indI: | | Vertex contour index list that describes the inner contour |
Output Parameter
FLc: | | Facet list to close the contour |
Copyright 2012-2025 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, FLplaneofVLCiL, is designed to close the surface between two contours using a Delaunay triangulation approach. It is part of the SG-Library and is used in the context of vertex lists and contour indices.
Input Parameters
- VL: A list of vertices, where each vertex is represented by its coordinates.
- indO: A list of indices that describe the outer contour of the vertices.
- indI: A list of indices that describe the inner contour of the vertices.
Output
- FLc: A list of facets that close the contour between the inner and outer vertex lists.
Algorithm Steps
- Extract the outer contour vertices
CLO using the indices indO from the vertex list VL. Determine the number of vertices in the outer contour, nO.
- Extract the inner contour vertices
CLI using the indices indI from the vertex list VL. Determine the number of vertices in the inner contour, nI.
- Combine the outer and inner contour vertices into a single list.
- Generate an edge list for the outer contour using
ELofn(nO).
- Generate an edge list for the inner contour using
ELofn(nI) and swap the edges using ELswap. Adjust the indices by adding nO to account for the combined list.
- Call the function
FLofVLEL with the combined vertex list and the combined edge list to generate the facet list FLN.
- Adjust the indices in
FLN to map back to the original indices in VL:
- For indices less than or equal to
nO, map them to indO.
- For indices greater than
nO, map them to indI after adjusting for the offset.
- Return the adjusted facet list
FLc.
Algorithm explaination created using ChatGPT on 2025-08-19 00:44. (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