Basically, I have a set of up to 100 co-ordinates and their orders, in a 2D plane, along with the desired tangents to the curve at the first and last point.
I have looked into various methods of curve-fitting, by which I mean an algorithm with takes the inputted data points and tangents, and outputs the equation of the cure, such as the gaussian method and interpolation, but I really struggled understanding them.
I am not asking for code (If you choose to give it, thats acceptable though :) ), I am simply looking for help into this algorithm. It will eventually be converted to Objective-C for an iPhone app, if that changes anything..
I need the equation of the curve, given these points. Obviously there isn't a single correct equation, but i want a smooth interpolated curve as the output.
Is it possible?
I wrote a tutorial article on linear and non-linear least squares methods:
Linear and Non-Linear Least Squares with Math.NET
C# source code and demo app are included.