B-form
These four items, t, a, n,
and k, make up the B-form of the spline f.
This means, explicitly, that
with
the
th B-spline of order k for
the given knot sequence t, i.e., the B-spline with
knots
. The basic interval of this
B-form is the interval [t(1)..t(n+k)].
It is the default interval over which a spline in B-form is plotted
by the command fnplt. Note that a spline in B-form
is zero outside its basic interval while, after conversion to ppform
via fn2fm, this is usually not the case since,
outside its basic interval, a piecewise-polynomial is defined by extension of its first or last polynomial
piece. In particular, a function in B-form may have jumps in value
and/or one of its derivative not only across its interior knots, i.e., across
with
, but also across its end knots,
and
.
 | Introduction | | B-Splines |  |
Includes the most popular MATLAB recorded presentations with Q&A sessions led by MATLAB experts.
Get the Interactive Kit
Store 
