TET_MESH_DISPLAY
Interactive Program for
Tet Mesh Wireframe Plots

TET_MESH_DISPLAY is a MATLAB program which reads data defining a tet mesh and displays a wireframe plot of the nodes and edges.

The tet mesh is defined by a node file containing the coordinates of nodes, and an element file containing lists of node indices that make up each tetrahedron.

The tet mesh may be either linear (defined by 4 nodes) or quadratic (defined by 10 nodes).

Usage:

tet_mesh_display ( 'prefix' )

• 'prefix'_nodes.txt lists the coordinates of nodes.
• 'prefix'_elements.txt lists sets of 4 or 10 nodes that form each tetrahedron.

Licensing:

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

Related Programs:

BEZIER_SURFACE_DISPLAY is a MATLAB program which reads two files defining a Bezier surface and displays it within MATLAB.

CVT_TET_MESH is a FORTRAN90 program which uses CVT methods to compute a tet mesh in a 3D region.

FEM_BASIS_T6_DISPLAY is a MATLAB program which reads a quadratic triangle mesh and displays any associated basis function.

GEOMPACK is a MATLAB library which includes a routine DTRIS3 to compute the tetrahedral mesh of a set of 3D points.

MATLAB includes a routine delaunay3 which can compute the tetrahedral mesh of a set of points in 3D.

MESH_DISPLAY, a MATLAB program which reads data defining a polygonal mesh and displays it, with optional numbering.

OBJ_DISPLAY is a MATLAB program which reads an OBJ file defining a 3D object and displays it within MATLAB.

POLYGONAL_SURFACE_DISPLAY is a MATLAB program which reads two files defining a polygonal surface and displays it within MATLAB.

QUAD_SURFACE_DISPLAY is a MATLAB program which reads files defining a 3D quadrilateral mesh surface and displays it within MATLAB.

STLA_DISPLAY is a MATLAB program which reads an ASCII STL file defining a 3D object and displays it within MATLAB.

TABLE is a data format which is used for the input files to TET_MESH_DISPLAY.

TABLE_TET_MESH is a FORTRAN90 program which computes the tetrahedral mesh of a set of 3D points.

TEST_TET_MESH is a FORTRAN90 library which defines a few test regions for the generation of a tet mesh.

TET_MESH is a MATLAB library which carries out computations with a tet mesh.

TET_MESH_DISPLAY_OPEN_GL is a C++ program which reads a tet mesh and displays the nodes and edges using OpenGL.

TET_MESH_L2Q is a MATLAB program which converts a linear to quadratic tet mesh.

TET_MESH_ORDER4 is a data directory which contains a description and examples of a tet mesh using order 4 elements.

TET_MESH_ORDER10 is a data directory which contains a description and examples of a tet mesh using order 10 elements.

TET_MESH_Q2L is a MATLAB program which converts a quadratic to linear tet mesh.

TET_MESH_QUALITY is a MATLAB program which can compute quality measures for a given tetrahedral mesh.

TET_MESH_RCM is a MATLAB program which takes a tet mesh and relabels the nodes to reduce the bandwidth of the corresponding adjacency matrix.

TET_MESH_REFINE is a MATLAB program which can refine a tet mesh.

TET_MESH_TET_NEIGHBORS is a MATLAB program which computes the tetrahedral adjacency information.

TET_MESH_VOLUMES is a MATLAB program which computes the volume of each tetrahedron in a tet mesh;

TETRAHEDRON_PROPERTIES, a MATLAB program which computes properties of a given tetrahedron.

TETRAHEDRONS, a dataset directory which contains examples of tetrahedrons;

TRI_SURFACE_DISPLAY is a MATLAB program which reads data defining a triangular mesh of a 3D surface and displays it.

TRIANGULATION_ORDER1_DISPLAY is a MATLAB program which reads files defining a piecewise constant triangulation of data, and displays a corresponding 3D surface.

Reference:

1. Herbert Edelsbrunner,
   Geometry and Topology for Mesh Generation,
   Cambridge, 2001,
   ISBN: 0-521-79309-2,
   LC: QA377.E36.
2. David Field,
   Qualitative Measures for Initial Meshes,
   International Journal of Numerical Methods in Engineering,
   Volume 47, 2000, pages 887-906.
3. Barry Joe,
   GEOMPACK - a software package for the generation of meshes using geometric algorithms,
   Advances in Engineering Software,
   Volume 13, Number 5, 1991, pages 325-331.
4. Per-Olof Persson, Gilbert Strang,
   A Simple Mesh Generator in MATLAB,
   SIAM Review,
   Volume 46, Number 2, June 2004, pages 329-345.

Source code

• tet_mesh_display.m the source code.

Tests and Examples

CUBE_ORDER4 is an order 4 tet mesh of a cube, using 8 nodes and 6 tetrahedrons.

• cube_order4_nodes.txt, the node file.
• cube_order4_elements.txt, the tetrahedron file.
• cube_order4_output.txt, the printed output from the program.
• cube_order4.png, a PNG image of the mesh.

CUBE_ORDER10 is an order 10 tet mesh of a cube, using 27 nodes and 6 tetrahedrons.

• cube_order10_nodes.txt, the node file.
• cube_order10_elements.txt, the tetrahedron file.
• cube_order10_output.txt, the printed output from the program.
• cube_order10.png, a PNG image of the mesh.

ONEONEEIGHT_ORDER10 is an order 10 tet mesh using 118 nodes and 70 tetrahedrons.

• tetra_rhombic_order10_nodes.txt, the node file.
• tetra_rhombic_order10_elements.txt, the tetrahedron file.
• tetra_rhombic_order10_output.txt, the printed output from the program.
• tetra_rhombic_order10.png, a PNG image of the mesh.

P01_00063 is an order 4 tet mesh using 63 nodes and 144 tetrahedrons to mesh the 3x1x1 channel.

• p01_00063_nodes.txt, the node file.
• p01_00063_elements.txt, the tetrahedron file.
• p01_00063_output.txt, the printed output from the program.
• p01_00063.png, a PNG image of the mesh.

TETRA_RHOMBIC_ORDER10 is an order 10 tet mesh of a rhombic tetrahedron using 10 nodes and 1 tetrahdron.

• tetra_rhombic_order10_nodes.txt, the node file.
• tetra_rhombic_order10_elements.txt, the tetrahedron file.
• tetra_rhombic_order10_output.txt, the printed output from the program.
• tetra_rhombic_order10.png, a PNG image of the mesh.

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