TriScatteredInterp class -

Interpolate scattered data

Description

TriScatteredInterp is used to perform interpolation on a scattered dataset that resides in 2-D or 3-D space. A scattered data set defined by locations X and corresponding values V can be interpolated using a Delaunay triangulation of X. This produces a surface of the form V = F(X). The surface can be evaluated at any query location QX, using QV = F(QX), where QX lies within the convex hull of X. The interpolant F always goes through the data points specified by the sample.

Definitions

The Delaunay triangulation of a set of points is a triangulation such that the unique circle circumscribed about each triangle contains no other points in the set. The convex hull of a set of points is the smallest convex set containing all points of the original set. These definitions extend naturally to higher dimensions.

Construction

Properties

Copy Semantics

Value. To learn how this affects your use of the class, see Comparing Handle and Value Classes in the MATLAB Object-Oriented Programming documentation.

Examples

Create a data set:

x = rand(100,1)*4-2;
y = rand(100,1)*4-2;
z = x.*exp(-x.^2-y.^2);

Construct the interpolant:

F = TriScatteredInterp(x,y,z);

Evaluate the interpolant at the locations (qx, qy). The corresponding value at these locations is qz:

ti = -2:.25:2;
[qx,qy] = meshgrid(ti,ti);
qz = F(qx,qy);
mesh(qx,qy,qz);
hold on;
plot3(x,y,z,'o');

See Also

DelaunayTri | interp1 | interp2 | interp3 | meshgrid