Splines
The shorthand
is one of several ways to indicate that
is a spline of order k with
knot sequence t, i.e., a linear combination
of the B-splines of order k for the
knot sequence t.
A word of caution: The term B-spline has
been expropriated by the Computer-Aided Geometric Design (CAGD) community
to mean what is called here a spline in B-form,
with the unhappy result that, in any discussion between mathematicians/approximation
theorists and people in CAGD, one now always has to check in what
sense the term is being used.
 | Choice of Knots | | Construction |  |
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