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/*=========================================================================

  Program:   Visualization Toolkit
  Module:    vtkShepardKernel.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 vtkShepardKernel - a Shepard method interpolation kernel

// .SECTION Description
// vtkShepardKernel is an interpolation kernel that uses the method of
// Shepard to perform interpolation. The weights are computed as 1/r^p, where
// r is the distance to a neighbor point within the kernal radius R; and p
// (the power parameter) is a positive exponent (typically p=2).

// .SECTION Caveats
// The weights are normalized sp that SUM(Wi) = 1. If a neighbor point p
// precisely lies on the point to be interpolated, then the interpolated
// point takes on the values associated with p.

// .SECTION See Also
// vtkPointInterpolator vtkPointInterpolator2D vtkInterpolationKernel
// vtkGaussianKernel vtkSPHKernel vtkShepardKernel


#ifndef vtkShepardKernel_h
#define vtkShepardKernel_h

#include "vtkFiltersPointsModule.h" // For export macro
#include "vtkGeneralizedKernel.h"

class vtkIdList;
class vtkDoubleArray;


class VTKFILTERSPOINTS_EXPORT vtkShepardKernel : public vtkGeneralizedKernel
{
public:
  // Description:
  // Standard methods for instantiation, obtaining type information, and printing.
  static vtkShepardKernel *New();
  vtkTypeMacro(vtkShepardKernel,vtkGeneralizedKernel);
  void PrintSelf(ostream& os, vtkIndent indent);

  // Re-use any superclass signatures that we don't override.
  using vtkGeneralizedKernel::ComputeWeights;

  // Description:
  // Given a point x, a list of basis points pIds, and a probability
  // weighting function prob, compute interpolation weights associated with
  // these basis points.  Note that basis points list pIds, the probability
  // weighting prob, and the weights array are provided by the caller of the
  // method, and may be dynamically resized as necessary. The method returns
  // the number of weights (pIds may be resized in some cases). Typically
  // this method is called after ComputeBasis(), although advanced users can
  // invoke ComputeWeights() and provide the interpolation basis points pIds
  // directly. The probably weighting prob are numbers 0<=prob<=1 which are
  // multiplied against the interpolation weights before normalization. They
  // are estimates of local confidence of weights. The prob may be NULL in
  // which all probabilities are considered =1.
  virtual vtkIdType ComputeWeights(double x[3], vtkIdList *pIds,
                                   vtkDoubleArray *prob, vtkDoubleArray *weights);

  // Description:
  // Set / Get the power parameter p. By default p=2. Values (which must be
  // a positive, real value) != 2 may affect performance significantly.
  vtkSetClampMacro(PowerParameter,double,0.001,100);
  vtkGetMacro(PowerParameter,double);

protected:
  vtkShepardKernel();
  ~vtkShepardKernel();

  // The exponent of the weights, =2 by default (l2 norm)
  double PowerParameter;

private:
  vtkShepardKernel(const vtkShepardKernel&);  // Not implemented.
  void operator=(const vtkShepardKernel&);  // Not implemented.
};

#endif