Package ffx.numerics.spline

Class UniformBSpline

java.lang.Object

ffx.numerics.spline.UniformBSpline

public class UniformBSpline
extends Object

Static methods to generate and differentiate uniform b-Splines.

Since:

1.0

Author:

Michael J. Schnieders

See Also:

• • C. de Boor, A Practical Guide to Splines. (Springer, New York, 2001)
  • b-Splines at Wikipedia
  • b-Splines at MathWorld

Method Summary

Modifier and Type	Method	Description
static void	bSpline(double x, int order, double[] coefficients)	Generate uniform b-Spline coefficients.
static void	bSplineDerivatives(double x, int order, int deriveOrder, double[][] coefficients, double[][] work)	Generate uniform b-Spline coefficients and their derivatives.

Methods inherited from class java.lang.Object

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

Method Details

bSpline

public static void bSpline(double x,
 int order,
 double[] coefficients)

Generate uniform b-Spline coefficients.

Parameters:

x - A double in the range [0.0, 1.0] where 0.5 is over a grid point (0.0 is half-way to the previous grid point, and 1.0 is half-way to the next grid point).

order - b-Spline order (degree + 1).

coefficients - b-Spline coefficients (n coefficients for order n).

Since:

1.0

bSplineDerivatives

public static void bSplineDerivatives(double x,
 int order,
 int deriveOrder,
 double[][] coefficients,
 double[][] work)

Generate uniform b-Spline coefficients and their derivatives.

Parameters:

x - A double in the range [0.0, 1.0].

order - b-Spline order (degree + 1).

deriveOrder - Derivative order.
0 = no derivative.
1 = 1rst derivative.
It must not be greater than the b-Spline degree (order - 1).
The method is currently limited to deriveOrder .LE. 5.

coefficients - The b-Spline coefficient array of size [order][deriveOrder + 1].

work - A work array of size [order][order].

Since:

1.0