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80 lines
2.5 KiB
C
80 lines
2.5 KiB
C
3 weeks ago
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/*=========================================================================
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Program: Visualization Toolkit
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Module: vtkParametricBour.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 vtkParametricBour
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* @brief Generate Bour's minimal surface.
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*
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* vtkParametricBour generates Bour's minimal surface parametrically. More
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* information can be found at
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* <a href="http://en.wikipedia.org/wiki/Bour%27s_minimal_surface">Wikipedia</a>.
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* @par Thanks:
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* Tim Meehan
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*/
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#ifndef vtkParametricBour_h
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#define vtkParametricBour_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 vtkParametricBour : public vtkParametricFunction
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{
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public:
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vtkTypeMacro(vtkParametricBour, vtkParametricFunction);
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void PrintSelf(ostream& os, vtkIndent indent) override;
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/**
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* Construct Bour's minimal surface with the following parameters:
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* (MinimumU, MaximumU) = (0., 1.),
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* (MinimumV, MaximumV) = (0., 4.*pi),
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* JoinU = 0, JoinV = 0,
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* TwistU = 0, TwistV = 0;
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* ClockwiseOrdering = 0,
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* DerivativesAvailable = 1,
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*/
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static vtkParametricBour* 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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* Bour's minimal 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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vtkParametricBour();
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~vtkParametricBour() override;
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private:
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vtkParametricBour(const vtkParametricBour&) = delete;
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void operator=(const vtkParametricBour&) = delete;
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};
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#endif
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