Analysis of Algorithms Generalizing B-Spline Subdivision

@inproceedings{Ulrich2013AnalysisOA,
  title={Analysis of Algorithms Generalizing B-Spline Subdivision},
  author={J{\"o}rg Peters Ulrich},
  year={2013}
}
  • Jörg Peters Ulrich
  • Published 2013
A new set of tools for verifying smoothness of surfaces generated by stationary subdivision algorithms is presented. The main challenge here is the verification of injectivity of the characteristic map. The tools are sufficiently versatile and easy to wield to allow, as an application, a full analysis of algorithms generalizing biquadratic and bicuble B-spline subdivision. In the case of generalized biquadratic subdivision the analysis yields a hitherto unknown sharp hound strictly less than… CONTINUE READING
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