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99 lines
2.9 KiB
C++
99 lines
2.9 KiB
C++
/*=========================================================================
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Program: Visualization Toolkit
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Module: vtkParametricBohemianDome.h
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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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/**
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* @class vtkParametricBohemianDome
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* @brief Generate a Bohemian dome.
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*
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* vtkParametricBohemianDome generates a parametric Bohemian dome. The Bohemian
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* dome is a quartic surface, and is described in much better detail at
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* <a href="https://www.math.hmc.edu/math142-01/mellon/curves_and_surfaces/surfaces/bohdom.html">HMC
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* page</a>.
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* @warning
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* I haven't set any restrictions on the A, B, or C values.
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* @par Thanks:
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* Tim Meehan
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*/
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#ifndef vtkParametricBohemianDome_h
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#define vtkParametricBohemianDome_h
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#include "vtkCommonComputationalGeometryModule.h" // For export macro
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#include "vtkParametricFunction.h"
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class VTKCOMMONCOMPUTATIONALGEOMETRY_EXPORT vtkParametricBohemianDome : public vtkParametricFunction
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{
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public:
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vtkTypeMacro(vtkParametricBohemianDome, vtkParametricFunction);
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void PrintSelf(ostream& os, vtkIndent indent) override;
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//@{
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/**
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* Construct a Bohemian dome surface with the following parameters:
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*/
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vtkGetMacro(A, double);
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vtkSetMacro(A, double);
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//@}
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vtkGetMacro(B, double);
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vtkSetMacro(B, double);
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vtkGetMacro(C, double);
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vtkSetMacro(C, double);
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// (MinimumU, MaximumU) = (-pi, pi),
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// (MinimumV, MaximumV) = (-pi, pi),
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// JoinU = 1, JoinV = 1,
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// TwistU = 0, TwistV = 0;
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// ClockwiseOrdering = 0,
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// DerivativesAvailable = 1,
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static vtkParametricBohemianDome* New();
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/**
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* Return the parametric dimension of the class.
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*/
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int GetDimension() override { return 2; }
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/**
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* BohemianDome surface.
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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$Pt = (x, y, z), D_u\vec{f} = (dx/du, dy/du, dz/du), D_v\vec{f} = (dx/dv, dy/dv, dz/dv)\f$ .
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* Then the normal is \f$N = D_u\vec{f} \times D_v\vec{f}\f$ .
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*/
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void Evaluate(double uvw[3], double Pt[3], double Duvw[9]) override;
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/**
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* Calculate a user defined scalar using one or all of uvw, Pt, Duvw.
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* This method simply returns 0.
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*/
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double EvaluateScalar(double uvw[3], double Pt[3], double Duvw[9]) override;
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protected:
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vtkParametricBohemianDome();
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~vtkParametricBohemianDome() override;
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// Variables
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double A;
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double B;
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double C;
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private:
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vtkParametricBohemianDome(const vtkParametricBohemianDome&) = delete;
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void operator=(const vtkParametricBohemianDome&) = delete;
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};
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#endif
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