Package gov.nih.mipav.model.structures

Class CoxDeBoorBSplineKernelFunction

java.lang.Object

gov.nih.mipav.model.structures.CoxDeBoorBSplineKernelFunction

public class CoxDeBoorBSplineKernelFunction
extends java.lang.Object

Version:

0.1 April 1, 2014

Author:

William Gandler This a a port of itkCoxDeBoorBSplineKernelFunction.hxx, itkCoxDeBoorBSplineKernelFunction.h, and itkCoxDeBoorBSplineKernelFunctionTest.cxx from the itk package. Here is the original itk header from the itkCoxDeBoorBSplineKernelFunction.hxx file: Copyright Insight Software Consortium Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0.txt Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. This class encapsulates BSpline kernel for density estimation or nonparameteric regression. See documentation for KernelFunctionBase for more details. This class is templated over the spline order to cohere with the previous incarnation of this class. One can change the order during an instantiation's existence. Note that other authors have defined the B-spline order as being the degree of spline + 1. In the ITK context (e.g. in this class), the spline order is equivalent to the degree of the spline. \author Nicholas J. Tustison This code was contributed in the Insight Journal paper: "N-D C^k B-Spline Scattered Data Approximation" by Nicholas J. Tustison, James C. Gee http://hdl.handle.net/1926/140 http://www.insight-journal.org/browse/publication/57

Field Summary

Fields

Modifier and Type	Field	Description
private double[][]	BSplineShapeFunctions
private double	epsilon
private int	splineOrder

Constructor Summary

Constructors

Constructor	Description
CoxDeBoorBSplineKernelFunction()
CoxDeBoorBSplineKernelFunction(int splineOrder)

Method Summary

Modifier and Type	Method	Description
double	evaluate(double u)
double	evaluateDerivative(double u)
double	evaluateNthDerivative(double u, int n)
void	finalize()	Prepares this class for destruction.
private void	generateBSplineShapeFunctions(int order)
private RealPolynomial	generatePoly(int order, double[] knots, int whichBasisFunction, int whichPiece)
double[][]	getShapeFunctionsInZeroToOneInterval()
void	selfTest()

Methods inherited from class java.lang.Object

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

Field Detail

splineOrder

private int splineOrder

BSplineShapeFunctions

private double[][] BSplineShapeFunctions

epsilon

private double epsilon

Constructor Detail

CoxDeBoorBSplineKernelFunction

public CoxDeBoorBSplineKernelFunction()

CoxDeBoorBSplineKernelFunction

public CoxDeBoorBSplineKernelFunction(int splineOrder)

Method Detail

finalize

public void finalize()

Prepares this class for destruction.

Overrides:

finalize in class java.lang.Object

generateBSplineShapeFunctions

private void generateBSplineShapeFunctions(int order)

generatePoly

private RealPolynomial generatePoly(int order,
                                    double[] knots,
                                    int whichBasisFunction,
                                    int whichPiece)

getShapeFunctionsInZeroToOneInterval

public double[][] getShapeFunctionsInZeroToOneInterval()

evaluate

public double evaluate(double u)

evaluateDerivative

public double evaluateDerivative(double u)

evaluateNthDerivative

public double evaluateNthDerivative(double u,
                                    int n)

selfTest

public void selfTest()