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Re: piecewiselinear approximation
Posted:
Jul 11, 2013 3:02 AM


On Wed, 10 Jul 2013, onn1.reo@gmail.com wrote:
> I am trying to come up with an algorithm. I know I am making this harder > than is/should be. I have multiple data sets that look alot like the > example below:
> if {X} > .09 then Y= +3 > if .10 < {X} > .13 then Y= +1.5 > if .14 < {X} > .19 then Y= +0 > if .20 < {X} > .26 then Y= .5 > if .27 < {X} > .33 then Y= 1.5 > if .33 < {X} then Y= 2 > > which would yields a "stair step" graph.
What the heck does .27 < {X} > .33 mean?
> MY QUESTION:
> How do I turn this very discrete and clumsy function I have right now into > something more continuous and elegant?
> Is a polynomial interpolation the only appropriate method for something this basic?
> My equation doesnt have to hit all the data points (obviously it can't), but > I would like something with tighter intervals that is more continuous > without having to go in manually and break everything down further and > further ( I have several dozen of the rules shown above, all with different > values).



