#include <vtkParametricCrossCap.h>
vtkParametricCrossCap generates a cross-cap which is a non-orientable self-intersecting single-sided surface. This is one possible image of a projective plane in three-space.
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.
Definition at line 40 of file vtkParametricCrossCap.h.
Public Types | |
typedef vtkParametricFunction | Superclass |
Public Member Functions | |
virtual const char * | GetClassName () |
virtual int | IsA (const char *type) |
void | PrintSelf (ostream &os, vtkIndent indent) |
virtual int | GetDimension () |
virtual void | Evaluate (double uvw[3], double Pt[3], double Duvw[9]) |
virtual double | EvaluateScalar (double uvw[3], double Pt[3], double Duvw[9]) |
Static Public Member Functions | |
static int | IsTypeOf (const char *type) |
static vtkParametricCrossCap * | SafeDownCast (vtkObject *o) |
static vtkParametricCrossCap * | New () |
Protected Member Functions | |
vtkParametricCrossCap () | |
~vtkParametricCrossCap () |
vtkParametricCrossCap::vtkParametricCrossCap | ( | ) | [protected] |
vtkParametricCrossCap::~vtkParametricCrossCap | ( | ) | [protected] |
virtual const char* vtkParametricCrossCap::GetClassName | ( | ) | [virtual] |
Reimplemented from vtkParametricFunction.
static int vtkParametricCrossCap::IsTypeOf | ( | const char * | name | ) | [static] |
Return 1 if this class type is the same type of (or a subclass of) the named class. Returns 0 otherwise. This method works in combination with vtkTypeRevisionMacro found in vtkSetGet.h.
Reimplemented from vtkParametricFunction.
virtual int vtkParametricCrossCap::IsA | ( | const char * | name | ) | [virtual] |
Return 1 if this class is the same type of (or a subclass of) the named class. Returns 0 otherwise. This method works in combination with vtkTypeRevisionMacro found in vtkSetGet.h.
Reimplemented from vtkParametricFunction.
static vtkParametricCrossCap* vtkParametricCrossCap::SafeDownCast | ( | vtkObject * | o | ) | [static] |
Reimplemented from vtkParametricFunction.
void vtkParametricCrossCap::PrintSelf | ( | ostream & | os, | |
vtkIndent | indent | |||
) | [virtual] |
Methods invoked by print to print information about the object including superclasses. Typically not called by the user (use Print() instead) but used in the hierarchical print process to combine the output of several classes.
Reimplemented from vtkParametricFunction.
static vtkParametricCrossCap* vtkParametricCrossCap::New | ( | ) | [static] |
Construct a cross-cap with the following parameters: MinimumU = 0, MaximumU = Pi, MinimumV = 0, MaximumV = Pi, JoinU = 1, JoinV = 1, TwistU = 1, TwistV = 1; ClockwiseOrdering = 1, DerivativesAvailable = 1
Reimplemented from vtkObject.
virtual int vtkParametricCrossCap::GetDimension | ( | ) | [inline, virtual] |
Return the parametric dimension of the class.
Implements vtkParametricFunction.
Definition at line 54 of file vtkParametricCrossCap.h.
virtual void vtkParametricCrossCap::Evaluate | ( | double | uvw[3], | |
double | Pt[3], | |||
double | Duvw[9] | |||
) | [virtual] |
A cross-cap. 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 vtkParametricCrossCap::EvaluateScalar | ( | double | uvw[3], | |
double | Pt[3], | |||
double | Duvw[9] | |||
) | [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.
Implements vtkParametricFunction.