Package smile.interpolation

Class BicubicInterpolation

java.lang.Object

smile.interpolation.BicubicInterpolation

All Implemented Interfaces:

Serializable, Interpolation2D

public class BicubicInterpolation
extends Object
implements Interpolation2D

Bicubic interpolation in a two-dimensional regular grid. Bicubic spline interpolation guarantees the continuity of the first derivatives, as well as the continuity of a cross-derivative.

Note that CubicSplineInterpolation2D guarantees the continuity of the first and second function derivatives but bicubic spline guarantees continuity of only gradient and cross-derivative. Second derivatives could be discontinuous.

In image processing, bicubic interpolation is often chosen over bilinear interpolation or nearest neighbor in image resampling, when speed is not an issue. Images resampled with bicubic interpolation are smoother and have fewer interpolation artifacts.

See Also:

• Serialized Form

Constructor Summary

Constructors

Constructor	Description
BicubicInterpolation(double[] x1, double[] x2, double[][] y)	Constructor.

Method Summary

Modifier and Type	Method	Description
double	interpolate(double x1p, double x2p)	Interpolate the data at a given 2-dimensional point.
String	toString()

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Constructor Details

BicubicInterpolation

public BicubicInterpolation(double[] x1,
 double[] x2,
 double[][] y)

Constructor. The value in x1 and x2 must be monotonically increasing.

Parameters:

x1 - the 1st dimension value.

x2 - the 2nd dimension value.

y - the function values at (x1, x2).

Method Details

interpolate

public double interpolate(double x1p,
 double x2p)

Description copied from interface: Interpolation2D

Interpolate the data at a given 2-dimensional point.

Specified by:

interpolate in interface Interpolation2D

Parameters:

x1p - the 1st dimension value.

x2p - the 2nd dimension value.

Returns:

the interpolated function value.

toString

public String toString()

Overrides:

toString in class Object