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In what sense is it true that a NURBS surface can only have the topology of a plane, cylinder or torus  ?

For example I can do a NURBS sphere. Is

Is the sphere homeomorphic to one of the above surfaces  ?

In what sense a NURBS surface can only have the topology of a plane, cylinder or torus  ?

For example I can do a NURBS sphere. Is the sphere homeomorphic to one of the above surfaces  ?

In what sense is it true that a NURBS surface can only have the topology of a plane, cylinder or torus?

For example I can do a NURBS sphere.

Is the sphere homeomorphic to one of the above surfaces?

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Valerio
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NURBS topology classification

In what sense a NURBS surface can only have the topology of a plane, cylinder or torus ?

For example I can do a NURBS sphere. Is the sphere homeomorphic to one of the above surfaces ?