I have been studying the VTK geometric element interpolation algorithm and noticed that the initial values of r, s, and t are set to 0.5 for the program to be solved using Newton’s iteration. The choice of initial values is crucial for the success of the Newtonian iterative method, as inappropriate values can lead to slow divergence or convergence. I am curious as to why the initial values of r, s, and t are specifically set to 0.5 in this algorithm.
Thank you for your time and consideration.