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The concept of subdivision surfaces, a technique used to create smooth curves and surfaces from arbitrary control meshes. Subdivision defines a limit surface as the result of successive refinements, connecting splines and meshes. problems with NURBS patches, the concept of subdivision schemes, and specific examples like Geri's Game from Pixar. It also discusses the classification of subdivision schemes, such as Catmull-Clark and Loop, and their applications.
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Sometimes need more than polygon meshes
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Sometimes
need more than polygon meshes
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the limit of a sequence of successiverefinements”refinements
Generalization of
spline
curves / surfaces
Generalization
of spline curves / surfaces
g
5
Subdivision used for
Subdivision
used for
Geri’s hand (subdivision) 8
Supported in hardware in DirectX Supported
in hardware in DirectX 11
10
Given a control polygon...Given
a control polygon...
...find a smooth curve related to that polygon.
Splitting step: split each edge in two
over ...
so on...
If the rule is designed carefully...If
the rule is designed carefully...
... the control polygons will converge to a
smooth limit curve!smooth limit curve!