A general matrix representation for non-uniform B-spline subdivision with boundary control

Casciola, Giulio ; Romani, Lucia (2007) A general matrix representation for non-uniform B-spline subdivision with boundary control. [Preprint]
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Boundary conditions are still an open question in the field of approximating subdivision since the problem of determining a general construction of the endpoint rules we need when subdividing a B-spline curve/surface with Bézier end conditions has not been solved yet. This consideration prompted us to present an efficient algorithm for the conversion between B-spline bases defined over different knot-partitions, which turns out to be extremely useful for computing a general formulation of the subdivision matrix generating an endpoint-interpolating B-spline of arbitrary degree.

Document type
Casciola, Giulio
Romani, Lucia
Spline-to-spline conversion; Cox-de Boor recurrence; Knot-insertion; Non-uniform B-spline subdivision; Bézier end conditions
Deposit date
19 Nov 2008
Last modified
16 May 2011 12:09

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