Dyt Dlx[hm

and Wj are weight matrices [495]. Weight matrices Wj allow for general weighting of the elements and weight functions ctj(t) permit unequal weighting of the fit to a certain target over time [495]. Parameter 77 adjusts the penalty on the degree of smoothness and q is expressed as a linear combination of B-spline bases k q(u) =£cfc5fc(w). (6.92)

B-splines are used in this study as the polynomial basis for performing curve registration because calculating the coefficients of the polynomial is well defined. When estimating the solution to transforming particular waveforms into the B-spline domain, the required number of calculations increases linearly with the number of data points [494]. The derivative of Tv with respect to the B-spline coefficient vector c is

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