2016-07-29 9:44 GMT+02:00 Stefano D'Angelo <zanga.m...@gmail.com>: > 2016-07-29 8:55 GMT+02:00 <list_em...@icloud.com>: >> >> On Jul 25, 2016, at 3:20 PM, Stefano D'Angelo <zanga.m...@gmail.com> wrote: >> >>> Otherwise, you might very well use higher-order (i.e., not just >>> linear) interpolators, (e.g., not-a-knot cubic spline interpolator), >> >> What is a "not-a-knot cubic spline interpolator"? >> Jerry > > Informally speaking, given two points between which to interpolate, > you are left with two degrees of freedom to define a cubic (spline) > interpolating function. Among all the possibilities, if you impose > continuity of the third derivatives between different splines for each > segment (as you go through samples), what you get are so-called > "not-a-knot" splines.
Sorry, I mean, you impose continuity of first and second derivatives between segments, and continuity of third derivative at the second point and at the point just before the last one. (This is how the MATLAB spline function works by default, IIRC). -- Stefano D'Angelo http://sdangelo.github.io/ _______________________________________________ dupswapdrop: music-dsp mailing list music-dsp@music.columbia.edu https://lists.columbia.edu/mailman/listinfo/music-dsp
