ibsp

Build and use B-splines for interpolation and regression.
In case of regression, equality constraints as well as monotonicity
and/or positivity of B-spline weights can be imposed. Moreover,
knot positions (not only spline weights) can be part of
optimized parameters too. For this end, 'bspline' is able to calculate
Jacobian of basis vectors as function of knot positions. User is provided with
functions calculating spline values at arbitrary points. These
functions can be differentiated and integrated to obtain B-splines calculating
derivatives/integrals at any point. B-splines of this package can
simultaneously operate on a series of curves sharing the same set of
knots. 'bspline' is written with concern about computing
performance that's why the basis and Jacobian calculation is implemented in C++.
The rest is implemented in R but without notable impact on computing speed.

Serguei Sokol

bspline

B-Spline Interpolation and Regression

ibsp function

<dl><dt>f</dt>
<dd>Function, B-spline such as returned by <code>smbsp()</code> or <code>par2bsp()</code></dd>
<dt>const</dt>
<dd>Numeric scalar or vector of length <code>ncol(qw)</code> where
qw is weight matrix of f. Defines starting value of weights for indefinite
integral (0 by default).</dd>
<dt>nint</dt>
<dd>Integer scalar &gt;= 0, defines how many times to take integral (1 by default)</dd></dl>

Arguments

Indefinite integral of B-spline — ibsp

<dl>

<dt>f</dt>
<dd>Function, B-spline such as returned by <code>smbsp()</code> or <code>par2bsp()</code></dd>


<dt>const</dt>
<dd>Numeric scalar or vector of length <code>ncol(qw)</code> where
qw is weight matrix of f. Defines starting value of weights for indefinite
integral (0 by default).</dd>


<dt>nint</dt>
<dd>Integer scalar &gt;= 0, defines how many times to take integral (1 by default)</dd>

</dl>

ibsp: Indefinite integral of B-spline

Description

Usage

Value

Arguments

Details