Mesh Laplacian

Version 1.0.0.0 (1,39 KB) von Darren Weber
Calculate Laplacian for triangulated mesh.
1.0
(2)
4,2K Downloads
Aktualisiert 24 Jan 2003

Keine Lizenz

MESH_LAPLACIAN: Laplacian of irregular triangular mesh

Useage: [lap,edge] = mesh_laplacian(vertex,face)

Returns 'lap', the Laplacian (2nd spatial derivative) of an irregular triangular mesh, and 'edge', the linear distances between vertices of 'face'. 'lap' and 'edge' are square, [Nvertices,Nvertices] in size, sparse in nature.

It is assumed that 'vertex' contains the (x,y,z) Cartesian coordinates of each vertex and that 'face' contains the triangulation of vertex with indices into 'vertex' that are numbered from 1:Nvertices. For information about triangulation, see 'help convhull' or 'help convhulln'.

The neighbouring vertices of vertex 'i' is given by:

k = find(edge(i,:));

The math of this routine is given by:

Oostendorp, Oosterom & Huiskamp (1989), Interpolation on a triangulated 3D surface. Journal of Computational Physics, 80: 331-343.

See also the "Mesh Laplacian Interpolation Operator" on the matlab central file exchange.

Zitieren als

Darren Weber (2024). Mesh Laplacian (https://www.mathworks.com/matlabcentral/fileexchange/1875-mesh-laplacian), MATLAB Central File Exchange. Abgerufen .

Kompatibilität der MATLAB-Version
Erstellt mit R12
Kompatibel mit allen Versionen
Plattform-Kompatibilität
Windows macOS Linux
Kategorien
Mehr zu Surface and Mesh Plots finden Sie in Help Center und MATLAB Answers

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Version Veröffentlicht Versionshinweise
1.0.0.0

Need a link in the description to the companion function: Mesh Laplacian Interpolation Operator