I need to integrate along a parametric space curve defined by some data points. Here is a simple example that works in Version 10. circle = Table[{Cos[ \[Pi] t ], Sin[ \[Pi] t ]}, {t, 0, 1, .1}]; interp[u_] := { ListInterpolation[circle[[All, 1]], {{0, 1}}][u], ListInterpolation[circle[[All…

In[3]:= circle = Table[{Cos[[Pi] t], Sin[[Pi] t]}, {t, 0, 1, .1}]; bsplinefunction = BSplineFunction[circle]; int1[t_?NumericQ] := First[bsplinefunction[t]]; int2[t_?NumericQ] := Last[bsplinefunction[t]]; NIntegrate[{int1[t], int2[t]}, {t, 0, 1}, AccuracyGoal → 10] Out[7]= {2.77556*10^-17, 0.71…

My earliest failed attempt was: circle = Table[{Cos[\[Pi] t], Sin[\[Pi] t]}, {t, 0, 1, .1}]; splat[t_?NumericQ] := BSplineFunction[circle][t]; NIntegrate[splat[t], {t, 0, 1}] So your ingenious splitting into parts was not something I would have tried. Well done. This behavior of BSplineFunction…

Yes and it suggested I could use NIntegrate along the BSpline. The post contains the code (simplified, by removing the derivative): pts = {{1, 1}, {2, -1}, {3, 0}, {2, 1}, {1, 0}}; f = BSplineFunction[pts]; NIntegrate[Norm[f[t]], {t, 0, 1}] (* works *) but a further simplification (to a vector …

Integration along BSpline

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Vitaliyk (Vitaliy Kaurov) October 6, 2014, 6:23pm 4

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Integration along BSpline

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