simultaneous and constrained interpolation?
- To: mathgroup at smc.vnet.net
- Subject: [mg112906] simultaneous and constrained interpolation?
- From: dantimatter <google at dantimatter.com>
- Date: Tue, 5 Oct 2010 05:36:19 -0400 (EDT)
Hello All,
I'm back with another interpolation-related question: is it possible
to interpolate between two sets of points in such a way so that the
average of the two interpolation functions lies along a known curve?
Put another way, I have a set of points {a1, a2, ..., aN} that I know
is actually the average of two other unknown sets of points
(a1=(b1+c1)/2, a2=(b2+c2)/2, ...). Now I don't know what most of the
b's and c's are, but I do know the endpoints b1, bN and c1, cN and can
interpolate between them. Is there a way to simultaneously
interpolate to get all the b's and c's while enforcing that their
average be equal to the a's?
Thanks!
dan