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I wrote a curve fitting algorithm based on Philip Scheider's 'An Algorithm for Automatically Fitting Digitized Curves’ with a combination of the Douglas Puekcer algorithm.

Read my musings at http://www.b-splines.com/?p=56. I have not uploaded the code just yet as am still cleaning it up and improving performance. 

The core fitting code is all in Lua. The rendering part is all Corona SDK.

Carlos