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

TriScatteredInterp

Interpolate scattered data

Properties

`X`	Defines locations of scattered data points in 2-D or 3-D space.
`V`	Defines value associated with each data point.
`Method`	Defines method used to interpolate the data .
	`natural`	Natural neighbor interpolation
	`linear`	Linear interpolation (default)
	`nearest`	Nearest neighbor interpolation

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');

TriScatteredInterp class -

Description

Definitions

Construction

Properties

Copy Semantics

Examples

See Also

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