B2-splines: a local representation for cubic spline interpolation
Copyright policy )B2-splines: a local representation for cubic spline interpolation
The cubic B-spline representation provides the local interaction properties and the sufficient order of continuity required in free-form curve and surface modelling in CAD. Basic problems are nevertheless encountered when applying B-splines to interpolation, where they have global behavior. We present the B2-spline formulation, a superset of the B-splines with local interpolation properties. Besides providing the local interpolation access, the B2-spline interaction operations can also be used directly as a B-spline modelling interface. Modelling applications are discussed especially with the skinning method for interpolating surfaces through curve networks.
- Helsinki University of Technology Finland
- University of Helsinki Finland
B2-spline, Spline approximation, local interpolation access, cubic B-spline representation, Interpolation in approximation theory
B2-spline, Spline approximation, local interpolation access, cubic B-spline representation, Interpolation in approximation theory
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