/*========================================================================= Program: Visualization Toolkit Module: vtkParametricKuen.h Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen All rights reserved. See Copyright.txt or http://www.kitware.com/Copyright.htm for details. This software is distributed WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the above copyright notice for more information. =========================================================================*/ // .NAME vtkParametricKuen - Generate Kuens' surface. // .SECTION Description // vtkParametricKuen generates Kuens' surface. This surface has a constant // negative gaussian curvature. For more information about this surface, see // Dr. O'Niell's page at the // UCLA Mathematics Department. // .SECTION Thanks // Tim Meehan #ifndef vtkParametricKuen_h #define vtkParametricKuen_h #include "vtkCommonComputationalGeometryModule.h" // For export macro #include "vtkParametricFunction.h" class VTKCOMMONCOMPUTATIONALGEOMETRY_EXPORT vtkParametricKuen : public vtkParametricFunction { public: vtkTypeMacro(vtkParametricKuen,vtkParametricFunction); void PrintSelf(ostream& os, vtkIndent indent) VTK_OVERRIDE; // Description: // Construct Kuen's surface with the following parameters: // (MinimumU, MaximumU) = (-3*pi, 3*pi), // (MinimumV, MaximumV) = (0., pi), // JoinU = 0, JoinV = 0, // TwistU = 0, TwistV = 0; // ClockwiseOrdering = 1, // DerivativesAvailable = 1, static vtkParametricKuen *New(); // Description // Return the parametric dimension of the class. int GetDimension() VTK_OVERRIDE {return 2;} // Description: // Kuen's surface. // // 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$Pt = (x, y, z), D_u\vec{f} = (dx/du, dy/du, dz/du), D_v\vec{f} = (dx/dv, dy/dv, dz/dv)\f$ . // Then the normal is \f$N = D_u\vec{f} \times D_v\vec{f}\f$ . void Evaluate(double uvw[3], double Pt[3], double Duvw[9]) VTK_OVERRIDE; // Description: // Calculate a user defined scalar using one or all of uvw, Pt, Duvw. // This method simply returns 0. double EvaluateScalar(double uvw[3], double Pt[3], double Duvw[9]) VTK_OVERRIDE; protected: vtkParametricKuen(); ~vtkParametricKuen() VTK_OVERRIDE; private: vtkParametricKuen(const vtkParametricKuen&) VTK_DELETE_FUNCTION; void operator=(const vtkParametricKuen&) VTK_DELETE_FUNCTION; }; #endif