GRID_DISPLAY
Plot Points in a Grid or Sparse Grid

GRID_DISPLAY is a MATLAB program which can read an ASCII file defining a set of points on a 2D or 3D grid or sparse grid, and display a plot of those points, inside a plot frame of user-specified range [Rmin,Rmax].

Usage:

grid_display ( 'file_name', rmin, rmax )

• 'file_name' is the name of the file containing the data points.
• rmin, rmax is the range in X, Y (and possibly Z) over which the plot is to be displayed. This is typically either [-1,1] or [0,1]. Some grids don't include points on the boundary, so it is useful to be able to specify the plot range, and thus force the boundaries to show up, and to show up "in the same place" for multiple plots. Also, this feature allows you to zoom in on part of the grid, if you wish.

Licensing:

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

Related Data and Programs:

BALL_AND_STICK_DISPLAY, a MATLAB program which demonstrates the creation of a 3D "ball and stick" image;

CC_DISPLAY, a MATLAB program which displays points on various grids derived from the Clenshaw Curtis rule.

GL_DISPLAY, a MATLAB program which displays points on various grids derived from the Gauss-Legendre rule.

GRIDLINES, a MATLAB library which gives the user more control over drawing gridlines on a graph than the builtin "grid on" command.

GRIDS_DISPLAY, a MATLAB program which reads two files of grids or sparse grids, displays the first with hollow blue dots, the second with red dots.

NESTED_SEQUENCE_DISPLAY, a MATLAB program which displays a set of nested sequences.

QUADRATURE_RULES, a dataset directory which defines quadrature rules; a number of examples of sparse grid quadrature rules are included.

SPARSE_GRID_CC, a datatset directory which contains some sample sparse grids from the Clenshaw Curtis rule.

SPARSE_GRID_F2, a datatset directory which contains some sample sparse grids from the Fejer Type 2 rule.

SPARSE_GRID_GP, a datatset directory which contains some sample sparse grids from the Gauss Patterson rule.

SPARSE_GRID_HW, a MATLAB library which creates sparse grids based on Gauss-Legendre, Gauss-Hermite, Gauss-Patterson, or a nested variation of Gauss-Hermite rules, by Florian Heiss and Viktor Winschel.

SPARSE_GRID_NCC, a datatset directory which contains some sample sparse grids from the Newton Cotes Closed rule.

SPARSE_GRID_NCO, a datatset directory which contains some sample sparse grids from the Newton Cotes Open rule.

TENSOR_GRID_DISPLAY, a MATLAB program which can display the grid points of a tensor product rule used for interpolation or quadrature, in 1D, 2D or 3D.

XY, a data directory which contains some examples of 2D pointsets.

XY_DISPLAY, a MATLAB program which can read a file of coordinates of points, and display an image of the points in a MATLAB graphics window.

XY_DISPLAY_OPENGL, a C++ program which can read a file containing 2D point coordinates, and display an image of those points using Open GL.

Source Code:

• grid_display.m, the source code.

Examples and Tests:

A 2D example:

• ../../datasets/sparse_grid_f2/f2_d2_level5.txt, a sample input file, containing 145 points in the region [-1,1]x[-1,1], associated with a Fejer Type 2 rule.
• ../../datasets/sparse_grid_f2/f2_d2_level5.png, the PNG image of the points.

A 3D example:

• ../../datasets/sparse_grid_ncc/ncc_d3_level3.txt, a sample input file, containing 69 points in the region [0,1]x[0,1]x[0,1], associated with a Newton Cotes Closed rule.
• ../../datasets/sparse_grid_ncc/ncc_d3_level3.png, PNG image of the points.

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