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Oct
16
comment Optimization: alignment of family of curves along a specified region
That is possible, but the function is continuous beyond the first and last piece of the spline (where it will approach -inf or inf) and the squared deviations increase rapidly outside the range of the data. Delta could also be bounded to stay within the useful portion of the splines.
Oct
16
comment Optimization: alignment of family of curves along a specified region
$a$ and $b$ are a specific, predefined range of interest.