Casciola, Giulio ; Romani, Lucia
(2007)
A general matrix representation for non-uniform B-spline subdivision with boundary control.
[Preprint]
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Abstract
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.
Abstract
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
Preprint
Creators
Keywords
Spline-to-spline conversion; Cox-de Boor recurrence;
Knot-insertion; Non-uniform B-spline subdivision; Bézier end conditions
Subjects
DOI
Deposit date
19 Nov 2008
Last modified
16 May 2011 12:09
URI
Other metadata
Document type
Preprint
Creators
Keywords
Spline-to-spline conversion; Cox-de Boor recurrence;
Knot-insertion; Non-uniform B-spline subdivision; Bézier end conditions
Subjects
DOI
Deposit date
19 Nov 2008
Last modified
16 May 2011 12:09
URI
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