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Subdivision for C¹ Surface Interpolation

By Nira Dyn, Sigalit Hed and David Levin


Interpolatory subdivision schemes generating surfaces from initial control nets with the topology of a regular grid are introduced and analyzed. The schemes are based upon the butterfly-scheme and are shown to have components with continuous first order derivatives. The generalization of these schemes for the application to general control nets is also discussed

Year: 2007
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