TILER_2D
2D Transfinite Interpolation

TILER_2D is a FORTRAN90 program which demonstrates how to graphically "tile" a 2D box with a repeated pattern, using transfinite interpolation.

The box has been divided into subregions that are not rectilinear, nor the same size or shape. A simple "tile pattern" of the letter "R" is used. The program must stretch and twist the pattern to fit into each subregion. The resulting tiled object is written out as a PostScript file.

Licensing:

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

Languages:

TILER_2D is available in a FORTRAN90 version

Related Data and Programs:

BLEND, a FORTRAN90 library which carries out the blending operations demonstrated by TILER_2D.

FRIEZE, a FORTRAN90 program which is similar to TILER_2D.

PS_WRITE, a FORTRAN90 library which supplies routines used to create a PostScript image of the mapping.

TILER_3D, a FORTRAN90 program which does blending in 3D.

Reference:

1. 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.
2. Joe Thompson, Bharat Soni, Nigel Weatherill,
   Handbook of Grid Generation,
   CRC Press, 1999.

Source Code:

• tiler_2d.f90, the source code;
• tiler_2d.sh, commands to compile, link and load the source code.

Examples and Tests:

• tiler_2d.png, a PNG image of the mapping;

List of Routines:

• MAIN is the main program for TILER_2D.
• BOUNDARY_2D maps a point (U,V) to its corresponding (X,Y) coordinates.
• BOX_TILER_2D selects one sub-box at a time to be tiled.
• CH_CAP capitalizes a single character.
• I4_SWAP swaps two I4's.
• PS_COLOR_LINE handles the line color.
• PS_COLOR_LINE_SET sets the line color.
• PS_COMMENT inserts a comment into the PostScript file.
• PS_DEFAULT sets the internal settings to their default values
• PS_FILE_CLOSE closes a PostScript file.
• PS_FILE_HEAD writes header information to a PostScript file.
• PS_FILE_OPEN opens a new version of a PostScript file with a given name.
• PS_FILE_TAIL writes trailer information to a PostScript file.
• PS_LINE_CLOSED adds the graph of a closed line to a PostScript file.
• PS_LINE_OPEN adds the graph of a line to a PostScript file.
• PS_PAGE_HEAD writes header information on a new page.
• PS_PAGE_TAIL writes tail information at the end of a page.
• PS_SETTING_INT sets, gets, or prints integer internal PS_WRITE parameters.
• PS_SETTING_REAL sets, gets, or prints real internal PS_WRITE parameters.
• R8_SWAP swaps two real values.
• S_EQI is a case insensitive comparison of two strings for equality.
• SUB_BOX_TILER_2D "tiles" a sub-box with the given pattern.
• TIMESTAMP prints the current YMDHMS date as a time stamp.
• TIMESTRING writes the current YMDHMS date into a string.

You can go up one level to the FORTRAN90 source codes.