Generate Boy's surface.
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#include <vtkParametricBoy.h>
Generate Boy's surface.
vtkParametricBoy generates Boy's surface. This is a Model of the projective plane without singularities. It was found by Werner Boy on assignment from David Hilbert.
For further information about this surface, please consult the technical description "Parametric surfaces" in http://www.vtk.org/documents.php in the "VTK Technical Documents" section in the VTk.org web pages.
- Thanks:
- Andrew Maclean a.mac.nosp@m.lean.nosp@m.@cas..nosp@m.edu..nosp@m.au for creating and contributing the class.
- Tests:
- vtkParametricBoy (Tests)
Definition at line 41 of file vtkParametricBoy.h.
vtkParametricBoy::vtkParametricBoy |
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vtkParametricBoy::~vtkParametricBoy |
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static int vtkParametricBoy::IsTypeOf |
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const char * |
type | ) |
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static |
virtual int vtkParametricBoy::IsA |
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const char * |
type | ) |
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virtual vtkObjectBase* vtkParametricBoy::NewInstanceInternal |
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const |
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protectedvirtual |
void vtkParametricBoy::PrintSelf |
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ostream & |
os, |
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vtkIndent |
indent |
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Construct Boy's surface with the following parameters: MinimumU = 0, MaximumU = Pi, MinimumV = 0, MaximumV = Pi, JoinU = 1, JoinV = 1, TwistU = 1, TwistV = 1; ClockwiseOrdering = 1, DerivativesAvailable = 1, ZScale = 0.125.
virtual int vtkParametricBoy::GetDimension |
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inlinevirtual |
virtual void vtkParametricBoy::SetZScale |
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double |
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virtual |
Set/Get the scale factor for the z-coordinate. Default = 1/8, giving a nice shape.
virtual double vtkParametricBoy::GetZScale |
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Set/Get the scale factor for the z-coordinate. Default = 1/8, giving a nice shape.
virtual void vtkParametricBoy::Evaluate |
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double |
uvw[3], |
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double |
Pt[3], |
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double |
Duvw[9] |
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virtual |
Boy's surface. This function performs the mapping
, returning it as Pt. It also returns the partial derivatives Du and Dv.
. Then the normal is
.
Implements vtkParametricFunction.
virtual double vtkParametricBoy::EvaluateScalar |
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double |
uvw[3], |
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double |
Pt[3], |
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double |
Duvw[9] |
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Calculate a user defined scalar using one or all of uvw, Pt, Duvw. uvw are the parameters with Pt being the the cartesian point, Duvw are the derivatives of this point with respect to u, v and w. Pt, Duvw 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.
Implements vtkParametricFunction.
double vtkParametricBoy::ZScale |
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protected |
The documentation for this class was generated from the following file: