vtkParametricMobius.h 3.27 KB
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 Will Schroeder committed Jan 24, 2005 1 2 3 4 5 /*========================================================================= Program: Visualization Toolkit Module: vtkParametricMobius.h  VTK Developers committed Apr 09, 2012 6  Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen  Will Schroeder committed Jan 24, 2005 7 8 9  All rights reserved. See Copyright.txt or http://www.kitware.com/Copyright.htm for details.  VTK Developers committed Apr 09, 2012 10 11  This software is distributed WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR  Will Schroeder committed Jan 24, 2005 12 13 14  PURPOSE. See the above copyright notice for more information. =========================================================================*/  David DeMarle committed Sep 23, 2016 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 /** * @class vtkParametricMobius * @brief Generate a Mobius strip. * * vtkParametricMobius generates a Mobius strip. * * For further information about this surface, please consult the * technical description "Parametric surfaces" in http://www.vtk.org/publications * in the "VTK Technical Documents" section in the VTk.org web pages. * * @par Thanks: * Andrew Maclean andrew.amaclean@gmail.com for creating and contributing the * class. * */  Sean McBride committed Dec 18, 2014 31 32 #ifndef vtkParametricMobius_h #define vtkParametricMobius_h  Will Schroeder committed Jan 24, 2005 33   VTK Developers committed Apr 09, 2012 34 #include "vtkCommonComputationalGeometryModule.h" // For export macro  Will Schroeder committed Jan 24, 2005 35 36 #include "vtkParametricFunction.h"  Andrew Maclean committed Oct 11, 2016 37 38 class VTKCOMMONCOMPUTATIONALGEOMETRY_EXPORT vtkParametricMobius : public vtkParametricFunction  Will Schroeder committed Jan 24, 2005 39 {  Andrew Maclean committed Oct 11, 2016 40 41  public: vtkTypeMacro(vtkParametricMobius, vtkParametricFunction);  Kitware Robot committed Oct 02, 2017 42  void PrintSelf(ostream& os, vtkIndent indent) override;  Andrew Maclean committed Oct 11, 2016 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66  /** * Construct a Mobius strip with the following parameters: * MinimumU = 0, MaximumU = 2*Pi, * MinimumV = -1, MaximumV = 1, * JoinU = 1, JoinV = 0, * TwistU = 0, TwistV = 0, * ClockwiseOrdering = 0, * DerivativesAvailable = 1, * Radius = 1. */ static vtkParametricMobius *New(); //@{ /** * Set/Get the radius of the Mobius strip. Default is 1. */ vtkSetMacro(Radius, double); vtkGetMacro(Radius, double); //@} /** * Return the parametric dimension of the class. */  Kitware Robot committed Oct 02, 2017 67  int GetDimension() override {return 2;}  Andrew Maclean committed Oct 11, 2016 68 69 70 71 72 73 74 75 76  /** * The Mobius strip. * This function performs the mapping \f$f(u,v) \rightarrow (x,y,x)\f$, returning it * as Pt. It also returns the partial derivatives Du and Dv. * \f$Pt = (x, y, z), Du = (dx/du, dy/du, dz/du), Dv = (dx/dv, dy/dv, dz/dv)\f$ . * Then the normal is \f$N = Du X Dv\f$ . */  Kitware Robot committed Oct 02, 2017 77  void Evaluate(double uvw[3], double Pt[3], double Duvw[9]) override;  Andrew Maclean committed Oct 11, 2016 78 79 80 81  /** * Calculate a user defined scalar using one or all of uvw, Pt, Duvw.  luz.paz committed Dec 27, 2017 82  * uvw are the parameters with Pt being the cartesian point,  Andrew Maclean committed Oct 11, 2016 83 84 85 86 87 88 89 90 91 92  * Duvw are the derivatives of this point with respect to u, v and w. * Pt, Du, Dv are obtained from Evaluate(). * This function is only called if the ScalarMode has the value * vtkParametricFunctionSource::SCALAR_FUNCTION_DEFINED * If the user does not need to calculate a scalar, then the * instantiated function should return zero. */ double EvaluateScalar(double uvw[3], double Pt[3],  Kitware Robot committed Oct 02, 2017 93  double Duvw[9]) override;  Andrew Maclean committed Oct 11, 2016 94 95 96  protected: vtkParametricMobius();  Kitware Robot committed Oct 02, 2017 97  ~vtkParametricMobius() override;  Andrew Maclean committed Oct 11, 2016 98 99 100 101 102  // Variables double Radius; private:  Kitware Robot committed Oct 04, 2017 103 104  vtkParametricMobius(const vtkParametricMobius&) = delete; void operator=(const vtkParametricMobius&) = delete;  Will Schroeder committed Jan 24, 2005 105 106 107 }; #endif