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133 lines
4.4 KiB
133 lines
4.4 KiB
/*=========================================================================
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Program: Visualization Toolkit
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Module: $RCSfile: vtkParametricSuperEllipsoid.h,v $
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Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen
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All rights reserved.
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See Copyright.txt or http://www.kitware.com/Copyright.htm for details.
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This software is distributed WITHOUT ANY WARRANTY; without even
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the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
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PURPOSE. See the above copyright notice for more information.
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=========================================================================*/
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// .NAME vtkParametricSuperEllipsoid - Generate a superellipsoid.
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// .SECTION Description
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// vtkParametricSuperEllipsoid generates a superellipsoid. A superellipsoid
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// is a versatile primitive that is controlled by two parameters n1 and
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// n2. As special cases it can represent a sphere, square box, and closed
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// cylindrical can.
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//
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// For further information about this surface, please consult the
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// technical description "Parametric surfaces" in http://www.vtk.org/documents.php
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// in the "VTK Technical Documents" section in the VTk.org web pages.
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//
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// Also see: http://astronomy.swin.edu.au/~pbourke/surfaces/
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//
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// .SECTION Caveats
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// Care needs to be taken specifying the bounds correctly. You may need to
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// carefully adjust MinimumU, MinimumV, MaximumU, MaximumV.
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//
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// .SECTION Thanks
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// Andrew Maclean a.maclean@cas.edu.au for creating and contributing the
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// class.
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//
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#ifndef __vtkParametricSuperEllipsoid_h
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#define __vtkParametricSuperEllipsoid_h
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#include "vtkParametricFunction.h"
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class VTK_COMMON_EXPORT vtkParametricSuperEllipsoid : public vtkParametricFunction
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{
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public:
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vtkTypeRevisionMacro(vtkParametricSuperEllipsoid,vtkParametricFunction);
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void PrintSelf(ostream& os, vtkIndent indent);
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// Description:
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// Construct a superellipsoid with the following parameters:
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// MinimumU = 0, MaximumU = 2*Pi,
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// MinimumV = 0, MaximumV = Pi,
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// JoinU = 1, JoinV = 0,
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// TwistU = 0, TwistV = 0,
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// ClockwiseOrdering = 1,
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// DerivativesAvailable = 0,
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// N1 = 1, N2 = 1, XRadius = 1, YRadius = 1,
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// ZRadius = 1, a sphere in this case.
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static vtkParametricSuperEllipsoid *New();
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// Description
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// Return the parametric dimension of the class.
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virtual int GetDimension() {return 2;}
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// Description:
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// Set/Get the scaling factor for the x-axis. Default = 1.
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vtkSetMacro(XRadius,double);
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vtkGetMacro(XRadius,double);
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// Description:
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// Set/Get the scaling factor for the y-axis. Default = 1.
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vtkSetMacro(YRadius,double);
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vtkGetMacro(YRadius,double);
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// Description:
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// Set/Get the scaling factor for the z-axis. Default = 1.
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vtkSetMacro(ZRadius,double);
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vtkGetMacro(ZRadius,double);
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// Description:
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// Set/Get the "squareness" parameter in the z axis. Default = 1.
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vtkSetMacro(N1,double);
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vtkGetMacro(N1,double);
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// Description:
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// Set/Get the "squareness" parameter in the x-y plane. Default = 1.
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vtkSetMacro(N2,double);
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vtkGetMacro(N2,double);
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// Description:
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// A superellipsoid.
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//
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// This function performs the mapping \f$f(u,v) \rightarrow (x,y,x)\f$, returning it
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// as Pt. It also returns the partial derivatives Du and Dv.
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// \f$Pt = (x, y, z), Du = (dx/du, dy/du, dz/du), Dv = (dx/dv, dy/dv, dz/dv)\f$ .
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// Then the normal is \f$N = Du X Dv\f$ .
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virtual void Evaluate(double uvw[3], double Pt[3], double Duvw[9]);
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// Description:
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// Calculate a user defined scalar using one or all of uvw, Pt, Duvw.
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//
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// uvw are the parameters with Pt being the the cartesian point,
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// Duvw are the derivatives of this point with respect to u, v and w.
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// Pt, Duvw are obtained from Evaluate().
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//
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// This function is only called if the ScalarMode has the value
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// vtkParametricFunctionSource::SCALAR_FUNCTION_DEFINED
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//
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// If the user does not need to calculate a scalar, then the
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// instantiated function should return zero.
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//
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virtual double EvaluateScalar(double uvw[3], double Pt[3], double Duvw[9]);
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protected:
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vtkParametricSuperEllipsoid();
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~vtkParametricSuperEllipsoid();
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// Variables
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double XRadius;
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double YRadius;
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double ZRadius;
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double N1;
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double N2;
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private:
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vtkParametricSuperEllipsoid(const vtkParametricSuperEllipsoid&); // Not implemented.
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void operator=(const vtkParametricSuperEllipsoid&); // Not implemented.
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// Description:
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// Calculate sign(x)*(abs(x)^n).
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double Power ( double x, double n );
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};
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#endif
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