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// SPDX-FileCopyrightText: Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen
// SPDX-License-Identifier: BSD-3-Clause
/**
* @class vtkKochanekSpline
* @brief computes an interpolating spline using a Kochanek basis.
*
* Implements the Kochanek 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.
*
* @sa
* vtkSpline vtkCardinalSpline
*/
#ifndef vtkKochanekSpline_h
#define vtkKochanekSpline_h
#include "vtkCommonComputationalGeometryModule.h" // For export macro
#include "vtkSpline.h"
VTK_ABI_NAMESPACE_BEGIN
class VTKCOMMONCOMPUTATIONALGEOMETRY_EXPORT vtkKochanekSpline : public vtkSpline
{
public:
vtkTypeMacro(vtkKochanekSpline, vtkSpline);
void PrintSelf(ostream& os, vtkIndent indent) override;
/**
* Construct a KochanekSpline with the following defaults: DefaultBias = 0,
* DefaultTension = 0, DefaultContinuity = 0.
*/
static vtkKochanekSpline* New();
/**
* Compute Kochanek Spline coefficients.
*/
void Compute() override;
/**
* Evaluate a 1D Kochanek spline.
*/
double Evaluate(double t) override;
///@{
/**
* Set the bias for all points. Default is 0.
*/
vtkSetMacro(DefaultBias, double);
vtkGetMacro(DefaultBias, double);
///@}
///@{
/**
* Set the tension for all points. Default is 0.
*/
vtkSetMacro(DefaultTension, double);
vtkGetMacro(DefaultTension, double);
///@}
///@{
/**
* Set the continuity for all points. Default is 0.
*/
vtkSetMacro(DefaultContinuity, double);
vtkGetMacro(DefaultContinuity, double);
///@}
/**
* Deep copy of cardinal spline data.
*/
void DeepCopy(vtkSpline* s) override;
protected:
vtkKochanekSpline();
~vtkKochanekSpline() override = default;
void Fit1D(int size, 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&) = delete;
void operator=(const vtkKochanekSpline&) = delete;
};
VTK_ABI_NAMESPACE_END
#endif
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