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The concept of subdivision surfaces, a technique used to create smooth curves and surfaces from arbitrary control meshes. the problems with NURBS patches, the definition and properties of subdivision surfaces, and various subdivision schemes such as Catmull-Clark and Loop. Examples of subdivision in action are provided through the analysis of Pixar's Geri's Game. The document also discusses the classification of subdivision schemes and their differences.
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Sometimes need more than polygon meshes
-^
Sometimes
need more than polygon meshes
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l B S li
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 11Supported
in hardware in DirectX 11
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!