FreeMat
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Section: Visualization Toolkit Common Classes
vtkParametricSuperEllipsoid generates a superellipsoid. A superellipsoid is a versatile primitive that is controlled by two parameters n1 and n2. As special cases it can represent a sphere, square box, and closed cylindrical can.
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.
Also see: http://astronomy.swin.edu.au/~pbourke/surfaces/
To create an instance of class vtkParametricSuperEllipsoid, simply invoke its constructor as follows
obj = vtkParametricSuperEllipsoid
The class vtkParametricSuperEllipsoid has several methods that can be used. They are listed below. Note that the documentation is translated automatically from the VTK sources, and may not be completely intelligible. When in doubt, consult the VTK website. In the methods listed below, obj
is an instance of the vtkParametricSuperEllipsoid class.
string = obj.GetClassName ()
int = obj.IsA (string name)
vtkParametricSuperEllipsoid = obj.NewInstance ()
vtkParametricSuperEllipsoid = obj.SafeDownCast (vtkObject o)
int = obj.GetDimension ()
- Set/Get the scaling factor for the x-axis. Default = 1. obj.SetXRadius (double )
- Set/Get the scaling factor for the x-axis. Default = 1. double = obj.GetXRadius ()
- Set/Get the scaling factor for the x-axis. Default = 1. obj.SetYRadius (double )
- Set/Get the scaling factor for the y-axis. Default = 1. double = obj.GetYRadius ()
- Set/Get the scaling factor for the y-axis. Default = 1. obj.SetZRadius (double )
- Set/Get the scaling factor for the z-axis. Default = 1. double = obj.GetZRadius ()
- Set/Get the scaling factor for the z-axis. Default = 1. obj.SetN1 (double )
- Set/Get the "squareness" parameter in the z axis. Default = 1. double = obj.GetN1 ()
- Set/Get the "squareness" parameter in the z axis. Default = 1. obj.SetN2 (double )
- Set/Get the "squareness" parameter in the x-y plane. Default = 1. double = obj.GetN2 ()
- Set/Get the "squareness" parameter in the x-y plane. Default = 1. obj.Evaluate (double uvw[3], double Pt[3], double Duvw[9])
- A superellipsoid.
This function performs the mapping , returning it as Pt. It also returns the partial derivatives Du and Dv.
. Then the normal is
.
double = obj.EvaluateScalar (double uvw[3], double Pt[3], double Duvw[9])
- 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.