ppBspline

The B-spline basis functions of order <code>k = length(t) - 1</code>
 defined by the knot sequence in argument <code>t</code> each consist of polynomial
 segments with the same order joined end-to-end over the successive gaps in the
 knot sequence. This function computes the <code>k</code> coefficients of these polynomial
 segments in the rows of the output matrix <code>coeff</code>, with each row corresponding
 to a B-spline basis function that is positive over the interval spanned by the
 values in <code>t</code>. The elements of the output vector <code>index</code> indicate where
 in the sequence <code>t</code> we find the knots. Note that we assume
 <code>t[1] &lt; t[k+1]</code>, i.e. <code>t</code> is not a sequence of the same knot.

smooth

These functions were developed to support functional data
analysis as described in Ramsay, J. O. and Silverman, B. W.
(2005) Functional Data Analysis. New York: Springer and in
Ramsay, J. O., Hooker, Giles, and Graves, Spencer (2009).
Functional Data Analysis with R and Matlab (Springer).
The package includes data sets and script files working many examples
including all but one of the 76 figures in this latter book. Matlab versions
are available by ftp from
<https://www.psych.mcgill.ca/misc/fda/downloads/FDAfuns/>.

S by Jim Ramsey

Functional Data Analysis

James Ramsay

Giles Hooker

Spencer Graves

ppBspline function

<dl> <dt>t</dt>
<dd>numeric vector = knot sequence of length norder+1 where norder =
 the order of the B-spline. The knot sequence must contain at least one gap.</dd></dl>

Arguments

Convert a B-spline function to piece-wise polynomial form — ppBspline

<dl>

 <dt>t</dt>
<dd>numeric vector = knot sequence of length norder+1 where norder =
 the order of the B-spline. The knot sequence must contain at least one gap.</dd>

</dl>

ppBspline: Convert a B-spline function to piece-wise polynomial form

Description

Usage

Value

Arguments

See Also

Examples