TET_MESH_VOLUMES
Compute Tetrahedral Volumes in a Tet Mesh

TET_MESH_VOLUMES is a MATLAB program which computes the volume of every tetrahedron in a tet mesh.

Usage:

tet_mesh_volume 'prefix'

• 'prefix'_nodes.txt, the node coordinates;
• 'prefix'_elements.txt, the element definitions.
• 'prefix'_volumes.txt, will contain the element volumes.

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Languages:

TET_MESH_VOLUMES is available in a C++ version and a FORTRAN90 version and a MATLAB version.

Related Data and Programs:

TET_MESH, a MATLAB library which carries out various operations on tetrahedral meshes.

TET_MESH_BOUNDARY, a MATLAB program which returns the nodes and faces of the boundary of a tetrahedral mesh, which themselves form a 3D triangular mesh or "TRI_SURFACE".

TET_MESH_DISPLAY, a MATLAB program which reads in the node and tetra files defining a tet mesh and displays a wireframe image.

TET_MESH_DISPLAY_OPENGL, a C++ program which reads a 3D tet mesh and displays the nodes and edges using OpenGL.

TET_MESH_L2Q, a MATLAB program which reads information about a 4-node (linear) tet mesh and creates data defining a corresponding 10-node (quadratic) tet mesh;

TET_MESH_ORDER4, a data directory which contains a description of a linear tet mesh of a set of 3D points, using a pair of files to list the node coordinates and the 4 nodes that make up each tetrahedron;

TET_MESH_ORDER4, a dataset directory which contains examples of order 4 tetrahedral meshes.

TET_MESH_ORDER10, a data directory which contains a description of a quadratic tet mesh of a set of 3D points, using a pair of files to list the node coordinates and the 10 nodes that make up each tetrahedron;

TET_MESH_ORDER10, a dataset directory which contains examples of order 10 tetrahedral meshes.

TET_MESH_Q2L, a MATLAB program which reads information about a 10-node (quadratic) tet mesh and creates data defining a corresponding 4-node (linear) tet mesh;

TET_MESH_QUALITY, a MATLAB program which computes quality measures of a tetrahedral mesh.

TET_MESH_RCM, a MATLAB program which computes the reverse Cuthill-McKee reordering for the nodes of a tet mesh that uses 4-node or 10-node tetrahedrons;

TET_MESH_REFINE, a MATLAB program which refines a tet mesh;

TET_MESH_TET_NEIGHBORS, a data directory which contains examples of TET_MESH_TET_NEIGHBOR files, description of a format for tetrahedron adjacency information in a tetrahedral mesh of 3D points;

TET_MESH_TET_NEIGHBORS, a MATLAB program which reads information about a tet mesh and writes out a list of the tetrahedrons that are adjacent to a given tetrahedron;

Source Code:

• tet_mesh_volumes.m, the source code.

Examples and Tests:

CUBE is the 8 vertices of the unit cube [0,1]x[0,1]x[0,1], defining 6 elements of equal volume but not equal shape.

• cube_nodes.txt, the node coordinate file.
• cube_elements.txt, the element file.
• cube.png, a PNG image of the mesh.
• cube_volumes.txt, the volume file.

TWENTY is 20 random nodes, defining 70 elements.

• twenty_nodes.txt, the node coordinate file.
• twenty_elements.txt, the element file.
• twenty.png, a PNG image of the mesh.
• twenty_volumes.txt, the volume file.

You can go up one level to the MATLAB source codes.