This function transforms functions in \(R^1\) from their original functional space to the SRVF space.
f_to_srvf(f, time)A numeric array of the same shape as the input array f storing the
SRVFs of the original curves.
Either a numeric vector of a numeric matrix or a numeric array specifying the functions that need to be transformed.
If a vector, it must be of shape \(M\) and it is interpreted as a single \(1\)-dimensional curve observed on a grid of size \(M\).
If a matrix, it must be of shape \(M \times N\). In this case, it is interpreted as a sample of \(N\) curves observed on a grid of size \(M\), unless \(M = 1\) in which case it is interpreted as a single \(1\)-dimensional curve observed on a grid of size \(M\).
A numeric vector of length \(M\) specifying the grid on which the functions are evaluated.
Srivastava, A., Wu, W., Kurtek, S., Klassen, E., Marron, J. S., May 2011. Registration of functional data using Fisher-Rao metric, arXiv:1103.3817v2.
Tucker, J. D., Wu, W., Srivastava, A., Generative models for functional data using phase and amplitude Separation, Computational Statistics and Data Analysis (2012), 10.1016/j.csda.2012.12.001.
q <- f_to_srvf(simu_data$f, simu_data$time)
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