vtkSuperquadric.h

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

  Program:   Visualization Toolkit
  Module:    vtkSuperquadric.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 vtkSuperquadric - implicit function for a Superquadric
// .SECTION Description
// vtkSuperquadric computes the implicit function and function gradient
// for a superquadric. vtkSuperquadric is a concrete implementation of
// vtkImplicitFunction.  The superquadric is centered at Center and axes
// of rotation is along the y-axis. (Use the superclass'
// vtkImplicitFunction transformation matrix if necessary to reposition.)
// Roundness parameters (PhiRoundness and ThetaRoundness) control
// the shape of the superquadric.  The Toroidal boolean controls whether
// a toroidal superquadric is produced.  If so, the Thickness parameter
// controls the thickness of the toroid:  0 is the thinnest allowable
// toroid, and 1 has a minimum sized hole.  The Scale parameters allow 
// the superquadric to be scaled in x, y, and z (normal vectors are correctly
// generated in any case).  The Size parameter controls size of the 
// superquadric.
//
// This code is based on "Rigid physically based superquadrics", A. H. Barr,
// in "Graphics Gems III", David Kirk, ed., Academic Press, 1992.
//
// .SECTION Caveats
// The Size and Thickness parameters control coefficients of superquadric
// generation, and may do not exactly describe the size of the superquadric.
//

#ifndef __vtkSuperquadric_h
#define __vtkSuperquadric_h

#include "vtkImplicitFunction.h"

#define VTK_MIN_SUPERQUADRIC_THICKNESS  1e-4

class VTK_FILTERING_EXPORT vtkSuperquadric : public vtkImplicitFunction
{
public:
  // Description
  // Construct with superquadric radius of 0.5, toroidal off, center at 0.0,
  // scale (1,1,1), size 0.5, phi roundness 1.0, and theta roundness 0.0.
  static vtkSuperquadric *New();

  vtkTypeMacro(vtkSuperquadric,vtkImplicitFunction);
  void PrintSelf(ostream& os, vtkIndent indent);

  // ImplicitFunction interface
  double EvaluateFunction(double x[3]);
  double EvaluateFunction(double x, double y, double z)
    {return this->vtkImplicitFunction::EvaluateFunction(x, y, z); } ;
  void EvaluateGradient(double x[3], double g[3]);

  // Description:
  // Set the center of the superquadric. Default is 0,0,0.
  vtkSetVector3Macro(Center,double);
  vtkGetVectorMacro(Center,double,3);

  // Description:
  // Set the scale factors of the superquadric. Default is 1,1,1.
  vtkSetVector3Macro(Scale,double);
  vtkGetVectorMacro(Scale,double,3);

  // Description:
  // Set/Get Superquadric ring thickness (toroids only).
  // Changing thickness maintains the outside diameter of the toroid.
  vtkGetMacro(Thickness,double);
  vtkSetClampMacro(Thickness,double,VTK_MIN_SUPERQUADRIC_THICKNESS,1.0);

  // Description:
  // Set/Get Superquadric north/south roundness. 
  // Values range from 0 (rectangular) to 1 (circular) to higher orders.
  vtkGetMacro(PhiRoundness,double);
  void SetPhiRoundness(double e); 

  // Description:
  // Set/Get Superquadric east/west roundness.
  // Values range from 0 (rectangular) to 1 (circular) to higher orders.
  vtkGetMacro(ThetaRoundness,double);
  void SetThetaRoundness(double e);

  // Description:
  // Set/Get Superquadric isotropic size.
  vtkSetMacro(Size,double);
  vtkGetMacro(Size,double);

  // Description:
  // Set/Get whether or not the superquadric is toroidal (1) or ellipsoidal (0).
  vtkBooleanMacro(Toroidal,int);
  vtkGetMacro(Toroidal,int);
  vtkSetMacro(Toroidal,int);

protected:
  vtkSuperquadric();
  ~vtkSuperquadric() {};

  int Toroidal;
  double Thickness;
  double Size;
  double PhiRoundness;
  double ThetaRoundness;
  double Center[3];
  double Scale[3];
private:
  vtkSuperquadric(const vtkSuperquadric&);  // Not implemented.
  void operator=(const vtkSuperquadric&);  // Not implemented.
};

#endif