Ok, first feed, then :)

I might be too late again in my day, but I totally miss how I could get the lowest degree curve passing for all the given points.

Not an iron rule, but most katas are assumed to teach people something (or to improve a certain knowledge) and in case are generously ranked for that purpose; but here the gap seems a tad too wide to jump, looking like a kata that is ok if and only if you are already pretty familiar with the subject, leaving new-comers with few tools to overcome the challenge.

Again, a few more links or a step-by-step example may enlighten the mass about it.

[I like the style of your descriptions, though]