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96 lines
3.1 KiB
96 lines
3.1 KiB
/*=========================================================================
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Program: Visualization Toolkit
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Module: $RCSfile: vtkParametricRoman.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 vtkParametricRoman - Generate Steiner's Roman Surface.
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// .SECTION Description
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// vtkParametricRoman generates Steiner's Roman Surface.
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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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// .SECTION Thanks
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// Andrew Maclean a.maclean@cas.edu.au for
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// creating and contributing the class.
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//
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#ifndef __vtkParametricRoman_h
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#define __vtkParametricRoman_h
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#include "vtkParametricFunction.h"
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class VTK_COMMON_EXPORT vtkParametricRoman : public vtkParametricFunction
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{
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public:
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vtkTypeRevisionMacro(vtkParametricRoman,vtkParametricFunction);
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void PrintSelf(ostream& os, vtkIndent indent);
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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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// Construct Steiner's Roman Surface with the following parameters:
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// MinimumU = 0, MaximumU = Pi,
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// MinimumV = 0, MaximumV = Pi,
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// JoinU = 1, JoinV = 1,
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// TwistU = 1, TwistV = 0;
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// ClockwiseOrdering = 1,
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// DerivativesAvailable = 1,
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// Radius = 1
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static vtkParametricRoman *New();
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// Description:
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// Set/Get the radius.
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vtkSetMacro(Radius,double);
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vtkGetMacro(Radius,double);
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// Description:
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// Steiner's Roman Surface
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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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vtkParametricRoman();
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~vtkParametricRoman();
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// Variables
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double Radius;
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private:
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vtkParametricRoman(const vtkParametricRoman&); // Not implemented.
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void operator=(const vtkParametricRoman&); // Not implemented.
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};
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#endif
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