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/*=========================================================================
Program: Visualization Toolkit
Module: vtkKochanekSpline.h
Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen
All rights reserved.
See Copyright.txt or http://www.kitware.com/Copyright.htm for details.
This software is distributed WITHOUT ANY WARRANTY; without even
the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
PURPOSE. See the above copyright notice for more information.
=========================================================================*/
// .NAME vtkKochanekSpline - computes an interpolating spline using a Kochanek basis.
// .SECTION Description
// Implements the Kochenek interpolating spline described in: Kochanek, D.,
// Bartels, R., "Interpolating Splines with Local Tension, Continuity, and
// Bias Control," Computer Graphics, vol. 18, no. 3, pp. 33-41, July 1984.
// These splines give the user more control over the shape of the curve than
// the cardinal splines implemented in vtkCardinalSpline. Three parameters
// can be specified. All have a range from -1 to 1.
//
// Tension controls how sharply the curve bends at an input point. A
// value of -1 produces more slack in the curve. A value of 1 tightens
// the curve.
//
// Continuity controls the continuity of the first derivative at input
// points.
//
// Bias controls the direction of the curve at it passes through an input
// point. A value of -1 undershoots the point while a value of 1
// overshoots the point.
//
// These three parameters give the user broad control over the shape of
// the interpolating spline. The original Kochanek paper describes the
// effects nicely and is recommended reading.
// .SECTION See Also
// vtkSpline vtkCardinalSpline
#ifndef __vtkKochanekSpline_h
#define __vtkKochanekSpline_h
#include "vtkSpline.h"
class VTK_FILTERING_EXPORT vtkKochanekSpline : public vtkSpline
{
public:
vtkTypeMacro(vtkKochanekSpline,vtkSpline);
void PrintSelf(ostream& os, vtkIndent indent);
// Description:
// Construct a KochanekSpline with the following defaults: DefaultBias = 0,
// DefaultTension = 0, DefaultContinuity = 0.
static vtkKochanekSpline *New();
// Description:
// Compute Kochanek Spline coefficients.
void Compute ();
// Description:
// Evaluate a 1D Kochanek spline.
double Evaluate (double t);
// Description:
// Set the bias for all points. Default is 0.
vtkSetMacro(DefaultBias,double);
vtkGetMacro(DefaultBias,double);
// Description:
// Set the tension for all points. Default is 0.
vtkSetMacro(DefaultTension,double);
vtkGetMacro(DefaultTension,double);
// Description:
// Set the continuity for all points. Default is 0.
vtkSetMacro(DefaultContinuity,double);
vtkGetMacro(DefaultContinuity,double);
// Description:
// Deep copy of cardinal spline data.
virtual void DeepCopy(vtkSpline *s);
protected:
vtkKochanekSpline();
~vtkKochanekSpline() {}
void Fit1D (int n, double *x, double *y, double tension, double bias,
double continuity, double coefficients[][4], int leftConstraint,
double leftValue, int rightConstraint, double rightValue);
double DefaultBias;
double DefaultTension;
double DefaultContinuity;
private:
vtkKochanekSpline(const vtkKochanekSpline&); // Not implemented.
void operator=(const vtkKochanekSpline&); // Not implemented.
};
#endif