#include <vtkParametricSuperToroid.h>
Inheritance diagram for vtkParametricSuperToroid:
vtkParametricSuperToroid generates a supertoroid. Essentially a supertoroid is a torus with the sine and cosine terms raised to a power. A supertoroid is a versatile primitive that is controlled by four parameters r0, r1, n1 and n2. r0, r1 determine the type of torus whilst the value of n1 determines the shape of the torus ring and n2 determines the shape of the cross section of the ring. It is the different values of these powers which give rise to a family of 3D shapes that are all basically toroidal in shape.
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/.
Definition at line 51 of file vtkParametricSuperToroid.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 void | Evaluate (double uvw[3], double Pt[3], double Duvw[9]) |
| virtual double | EvaluateScalar (double uvw[3], double Pt[3], double Duvw[9]) |
| virtual int | GetDimension () |
| virtual void | SetRingRadius (double) |
| virtual double | GetRingRadius () |
| virtual void | SetCrossSectionRadius (double) |
| virtual double | GetCrossSectionRadius () |
| virtual void | SetXRadius (double) |
| virtual double | GetXRadius () |
| virtual void | SetYRadius (double) |
| virtual double | GetYRadius () |
| virtual void | SetZRadius (double) |
| virtual double | GetZRadius () |
| virtual void | SetN1 (double) |
| virtual double | GetN1 () |
| virtual void | SetN2 (double) |
| virtual double | GetN2 () |
Static Public Member Functions | |
| static int | IsTypeOf (const char *type) |
| static vtkParametricSuperToroid * | SafeDownCast (vtkObject *o) |
| static vtkParametricSuperToroid * | New () |
Protected Member Functions | |
| vtkParametricSuperToroid () | |
| ~vtkParametricSuperToroid () | |
Protected Attributes | |
| double | RingRadius |
| double | CrossSectionRadius |
| double | XRadius |
| double | YRadius |
| double | ZRadius |
| double | N1 |
| double | N2 |
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Reimplemented from vtkParametricFunction. Definition at line 54 of file vtkParametricSuperToroid.h. |
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Reimplemented from vtkParametricFunction. |
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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. |
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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. |
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Reimplemented from vtkParametricFunction. |
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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. |
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Construct a supertoroid with the following parameters: MinimumU = 0, MaximumU = 2*Pi, MinimumV = 0, MaximumV = 2*Pi, JoinU = 1, JoinV = 1, TwistU = 0, TwistV = 0, ClockwiseOrdering = 1, DerivativesAvailable = 0, RingRadius = 1, CrossSectionRadius = 0.5, N1 = 1, N2 = 1, XRadius = 1, YRadius = 1, ZRadius = 1, a torus in this case. Reimplemented from vtkObject. |
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Return the parametric dimension of the class. Implements vtkParametricFunction. Definition at line 65 of file vtkParametricSuperToroid.h. |
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Set/Get the radius from the center to the middle of the ring of the supertoroid. Default = 1. |
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Return the parametric dimension of the class. |
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Set/Get the radius of the cross section of ring of the supertoroid. Default = 0.5. |
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Set/Get the radius of the cross section of ring of the supertoroid. Default = 0.5. |
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Set/Get the scaling factor for the x-axis. Default = 1. |
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Set/Get the scaling factor for the x-axis. Default = 1. |
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Set/Get the scaling factor for the y-axis. Default = 1. |
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Set/Get the scaling factor for the y-axis. Default = 1. |
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Set/Get the scaling factor for the z-axis. Default = 1. |
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Set/Get the scaling factor for the z-axis. Default = 1. |
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Set/Get the shape of the torus ring. Default = 1. |
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Set/Get the shape of the torus ring. Default = 1. |
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Set/Get the shape of the cross section of the ring. Default = 1. |
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Set/Get the shape of the cross section of the ring. Default = 1. |
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A supertoroid. This function performs the mapping Implements vtkParametricFunction. |
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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. |
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Definition at line 133 of file vtkParametricSuperToroid.h. |
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Definition at line 134 of file vtkParametricSuperToroid.h. |
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Definition at line 135 of file vtkParametricSuperToroid.h. |
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Definition at line 136 of file vtkParametricSuperToroid.h. |
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Definition at line 137 of file vtkParametricSuperToroid.h. |
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Definition at line 138 of file vtkParametricSuperToroid.h. |
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Definition at line 139 of file vtkParametricSuperToroid.h. |
1.4.3-20050530
, returning it as Pt. It also returns the partial derivatives Du and Dv. 
. Then the normal is 
.