tiler_3d

tiler_3d, a C++ code which carries out transfinite interpolation to "tile" a 3D box that has already been subdivided into sub-boxes.

A simple "tile pattern" of a tetrahedron is used, and the resulting object is written out as an ASCII TRI graphics file.

The ASCII TRI graphics file can be easily converted to other 3D formats, such as IV or STL. In particular, if the STL format is used, then the object can be read into MATLAB and displayed, using the STLA_DISPLAY program.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

tiler_3d is available in a C++ version and a Fortran90 version.

Related Data and Programs:

tiler_3d_test

blend, a C++ code which carries out the blending demonstrated by tiler_3d().

iv, a data directory which contains a description and examples of the IV (Inventor) 3D graphics format.

stla, a data directory which contains a description and examples of the ASCII STL (stereolithography) 3D graphics format.

tria, a data directory which contains a description and examples of TRIA, the ASCII TRIANGLE 3D graphics format.

Reference:

• William Gordon, Charles Hall,
  Construction of Curvilinear Coordinate Systems and Application to Mesh Generation,
  International Journal of Numerical Methods in Engineering,
  Volume 7, pages 461-477, 1973.
• Joe Thompson, Bharat Soni, Nigel Weatherill,
  Handbook of Grid Generation,
  CRC Press, 1999.

Source Code:

• tiler_3d.cpp, the source code;
• tiler_3d.sh, compiles the source code;