Mesh Laplacian

バージョン 1.0.0.0 (1.39 KB) 作成者: Darren Weber
Calculate Laplacian for triangulated mesh.
1.0
(2)
ダウンロード: 4.2K
更新 2003/1/24

ライセンスがありません

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.

引用

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

MATLAB リリースの互換性
作成: R12
すべてのリリースと互換性あり
プラットフォームの互換性
Windows macOS Linux
カテゴリ
Help Center および MATLAB Answers で Surface and Mesh Plots についてさらに検索

Community Treasure Hunt

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

Start Hunting!

バージョン 公開済み リリース ノート
1.0.0.0

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