Mercurial > repos > public > sbplib
diff +parametrization/dataSpline.m @ 1112:835c8fa456ec feature/timesteppers
Merge with default
author | Jonatan Werpers <jonatan@werpers.com> |
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date | Wed, 10 Apr 2019 22:22:46 +0200 |
parents | 36d092a00040 |
children | 60c875c18de3 |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/+parametrization/dataSpline.m Wed Apr 10 22:22:46 2019 +0200 @@ -0,0 +1,19 @@ +% dataSpline calculates a Curve through the points f_i using cubic spline interpolation. +% The spline curve is parametrized with the arc length parametrization +% to facilitate better grids. +% +% f - m x D matrix of m points in D dimensions +function C = dataSpline(f) + m = size(f, 1); + + t = linspace(0,1,m); + + pp_g = spapi(4, t, f'); + pp_gp = fnder(pp_g); + + g = @(t) fnval(pp_g, t); + gp = @(t) fnval(pp_gp, t); + + C = parametrization.Curve(g, gp); + C = C.arcLengthParametrization(); +end