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Kitware.VTK.vtkParametricKlein Class Reference

vtkParametricKlein - Generates a "classical" representation of a Klein bottle. More...

Inheritance diagram for Kitware.VTK.vtkParametricKlein:
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Collaboration diagram for Kitware.VTK.vtkParametricKlein:
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List of all members.

Public Member Functions

 vtkParametricKlein (IntPtr rawCppThis, bool callDisposalMethod, bool strong)
 Automatically generated constructor - called from generated code. DO NOT call directly.
 vtkParametricKlein ()
 Construct a Klein Bottle with the following parameters: MinimumU = 0, MaximumU = 2*Pi, MinimumV = -Pi, MaximumV = Pi, JoinU = 0, JoinV = 1, TwistU = 0, TwistV = 0, ClockwiseOrdering = 1, DerivativesAvailable = 1,.
override void Evaluate (IntPtr uvw, IntPtr Pt, IntPtr Duvw)
 A Klein bottle.
override double EvaluateScalar (IntPtr uvw, IntPtr Pt, IntPtr Duvw)
 Calculate a user defined scalar using one or all of uvw, Pt, Duvw.
override int GetDimension ()
 Description Return the parametric dimension of the class.
override int IsA (string type)
 Undocumented Block.
new vtkParametricKlein NewInstance ()
 Undocumented Block.

Static Public Member Functions

static new vtkParametricKlein New ()
 Construct a Klein Bottle with the following parameters: MinimumU = 0, MaximumU = 2*Pi, MinimumV = -Pi, MaximumV = Pi, JoinU = 0, JoinV = 1, TwistU = 0, TwistV = 0, ClockwiseOrdering = 1, DerivativesAvailable = 1,.
static new int IsTypeOf (string type)
 Undocumented Block.
static new vtkParametricKlein SafeDownCast (vtkObjectBase o)
 Undocumented Block.

Public Attributes

new const string MRFullTypeName = "Kitware.VTK.vtkParametricKlein"
 Automatically generated type registration mechanics.

Static Public Attributes

static new readonly string MRClassNameKey = "18vtkParametricKlein"
 Automatically generated type registration mechanics.

Protected Member Functions

override void Dispose (bool disposing)
 Automatically generated protected Dispose method - called from public Dispose or the C# destructor. DO NOT call directly.

Private Member Functions

static internal IntPtr vtkParametricKlein_New (ref uint mteStatus, ref uint mteIndex, ref uint rawRefCount)
static internal void vtkParametricKlein_Evaluate_01 (HandleRef pThis, IntPtr uvw, IntPtr Pt, IntPtr Duvw)
static internal double vtkParametricKlein_EvaluateScalar_02 (HandleRef pThis, IntPtr uvw, IntPtr Pt, IntPtr Duvw)
static internal int vtkParametricKlein_GetDimension_03 (HandleRef pThis)
static internal int vtkParametricKlein_IsA_04 (HandleRef pThis, string type)
static internal int vtkParametricKlein_IsTypeOf_05 (string type)
static internal IntPtr vtkParametricKlein_NewInstance_07 (HandleRef pThis, ref uint mteStatus, ref uint mteIndex, ref uint rawRefCount)
static internal IntPtr vtkParametricKlein_SafeDownCast_08 (HandleRef o, ref uint mteStatus, ref uint mteIndex, ref uint rawRefCount)

Static Private Member Functions

static vtkParametricKlein ()
 Automatically generated type registration mechanics.

Detailed Description

vtkParametricKlein - Generates a "classical" representation of a Klein bottle.

Description vtkParametricKlein generates a "classical" representation of a Klein bottle. A Klein bottle is a closed surface with no interior and only one surface. It is unrealisable in 3 dimensions without intersecting surfaces. It can be realised in 4 dimensions by considering the map $F:R^2 \rightarrow R^4$ given by:

The classical representation of the immersion in $R^3$ is returned by this function.

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.maclean@cas.edu.au for creating and contributing the class.


Constructor & Destructor Documentation

Automatically generated type registration mechanics.

Kitware.VTK.vtkParametricKlein.vtkParametricKlein ( IntPtr  rawCppThis,
bool  callDisposalMethod,
bool  strong 
)

Automatically generated constructor - called from generated code. DO NOT call directly.

Construct a Klein Bottle with the following parameters: MinimumU = 0, MaximumU = 2*Pi, MinimumV = -Pi, MaximumV = Pi, JoinU = 0, JoinV = 1, TwistU = 0, TwistV = 0, ClockwiseOrdering = 1, DerivativesAvailable = 1,.


Member Function Documentation

override void Kitware.VTK.vtkParametricKlein.Dispose ( bool  disposing) [protected]

Automatically generated protected Dispose method - called from public Dispose or the C# destructor. DO NOT call directly.

Reimplemented from Kitware.VTK.vtkParametricFunction.

override void Kitware.VTK.vtkParametricKlein.Evaluate ( IntPtr  uvw,
IntPtr  Pt,
IntPtr  Duvw 
) [virtual]

A Klein bottle.

This function performs the mapping $f(u,v) \rightarrow (x,y,x)$, returning it as Pt. It also returns the partial derivatives Du and Dv. $Pt = (x, y, z), Du = (dx/du, dy/du, dz/du), Dv = (dx/dv, dy/dv, dz/dv)$ . Then the normal is $N = Du X Dv$ .

Reimplemented from Kitware.VTK.vtkParametricFunction.

override double Kitware.VTK.vtkParametricKlein.EvaluateScalar ( IntPtr  uvw,
IntPtr  Pt,
IntPtr  Duvw 
) [virtual]

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.

Reimplemented from Kitware.VTK.vtkParametricFunction.

override int Kitware.VTK.vtkParametricKlein.GetDimension ( ) [virtual]

Description Return the parametric dimension of the class.

Reimplemented from Kitware.VTK.vtkParametricFunction.

override int Kitware.VTK.vtkParametricKlein.IsA ( string  type) [virtual]

Undocumented Block.

Reimplemented from Kitware.VTK.vtkParametricFunction.

static new int Kitware.VTK.vtkParametricKlein.IsTypeOf ( string  type) [static]

Undocumented Block.

Reimplemented from Kitware.VTK.vtkParametricFunction.

Construct a Klein Bottle with the following parameters: MinimumU = 0, MaximumU = 2*Pi, MinimumV = -Pi, MaximumV = Pi, JoinU = 0, JoinV = 1, TwistU = 0, TwistV = 0, ClockwiseOrdering = 1, DerivativesAvailable = 1,.

Reimplemented from Kitware.VTK.vtkObject.

Undocumented Block.

Reimplemented from Kitware.VTK.vtkParametricFunction.

Undocumented Block.

Reimplemented from Kitware.VTK.vtkParametricFunction.

Here is the call graph for this function:

static internal void Kitware.VTK.vtkParametricKlein.vtkParametricKlein_Evaluate_01 ( HandleRef  pThis,
IntPtr  uvw,
IntPtr  Pt,
IntPtr  Duvw 
) [private]
static internal double Kitware.VTK.vtkParametricKlein.vtkParametricKlein_EvaluateScalar_02 ( HandleRef  pThis,
IntPtr  uvw,
IntPtr  Pt,
IntPtr  Duvw 
) [private]
static internal int Kitware.VTK.vtkParametricKlein.vtkParametricKlein_GetDimension_03 ( HandleRef  pThis) [private]
static internal int Kitware.VTK.vtkParametricKlein.vtkParametricKlein_IsA_04 ( HandleRef  pThis,
string  type 
) [private]
static internal int Kitware.VTK.vtkParametricKlein.vtkParametricKlein_IsTypeOf_05 ( string  type) [private]
static internal IntPtr Kitware.VTK.vtkParametricKlein.vtkParametricKlein_New ( ref uint  mteStatus,
ref uint  mteIndex,
ref uint  rawRefCount 
) [private]
static internal IntPtr Kitware.VTK.vtkParametricKlein.vtkParametricKlein_NewInstance_07 ( HandleRef  pThis,
ref uint  mteStatus,
ref uint  mteIndex,
ref uint  rawRefCount 
) [private]
static internal IntPtr Kitware.VTK.vtkParametricKlein.vtkParametricKlein_SafeDownCast_08 ( HandleRef  o,
ref uint  mteStatus,
ref uint  mteIndex,
ref uint  rawRefCount 
) [private]

Member Data Documentation

new readonly string Kitware.VTK.vtkParametricKlein.MRClassNameKey = "18vtkParametricKlein" [static]

Automatically generated type registration mechanics.

Reimplemented from Kitware.VTK.vtkParametricFunction.

new const string Kitware.VTK.vtkParametricKlein.MRFullTypeName = "Kitware.VTK.vtkParametricKlein"

Automatically generated type registration mechanics.

Reimplemented from Kitware.VTK.vtkParametricFunction.


The documentation for this class was generated from the following file: