TILER_3D
3D Transfinite Interpolation

TILER_3D is a C++ program 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 STLA. In particular, if the STLA format is used, then the object can be read into MATLAB and displayed, using the STLA_DISPLAY program.

Licensing:

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

Languages:

TILER_3D is available in a C++ version and a FORTRAN90 version.

Related Data and Programs:

BLEND, a C++ library which carries out the blending demonstrated byTILER_3D.

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

IVCON, a C++ program which can convert the TRI file output by TILER_3D into various other formats.

IVREAD, a FORTRAN90 program which can convert the TRI file output by TILER_3D into various other formats.

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

STLA_DISPLAY, a MATLAB program which reads in an ASCII STL file and displays the 3D graphics image it describes.

TILER_2D, a FORTRAN90 program which is a 2D version of TILER_3D.

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;

Examples and Tests:

• tiler_3d.tri, the output ASCII TRI graphics file;
• tiler_3d.iv, a copy of the graphics file converted to IV format;
• tiler_3d.stla, a copy of the graphics file converted to STLA format;
• tiler_3d.png, a PNG image of a snapshot of the STLA file, as displayed by STLA_DISPLAY.

List of Routines:

• TILER_3D illustrates the use of 3D blending.
• BOUNDARY_3D returns the (X,Y,Z) coordinates of a point (U,V,W).
• SUB_BOX_TILER_3D "tiles" a 3D sub-box with a given pattern.
• TIMESTAMP prints the current YMDHMS date as a time stamp.

You can go up one level to the C++ source codes.