backSpline              package:splines              R Documentation

Monotone Inverse Spline

Description:

     Create a monotone inverse of a monotone natural spline.

Usage:

     backSpline(object)

Arguments:

  object: an object that inherits from class `nbSpline' or
          `npolySpline'.  That is, the object must represent a natural
          interpolation spline but it can be either in the B-spline
          representation or the piecewise polynomial one.  The spline
          is checked to see if it represents a monotone function. 

Value:

     An object of class `polySpline' that contains the piecewise
     polynomial representation of a function that has the appropriate
     values and derivatives at the knot positions to be an inverse of
     the spline represented by `object'.  Technically this object is
     not a spline because the second derivative is not constrained to
     be continuous at the knot positions.  However, it is often a much
     better approximation to the inverse than fitting an interpolation
     spline to the y/x pairs.

Author(s):

     Douglas Bates and Bill Venables

See Also:

     `interpSpline'

Examples:

     data( women )
     ispl <- interpSpline( women$height, women$weight )
     bspl <- backSpline( ispl )
     plot( bspl )                   # plots over the range of the knots
     points( women$weight, women$height )

