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BSplineFunction[{{0., 1.}, {0., 1.}}, "<>"] is a map from parametric space to "plotting" space, i.e. $\mathrm{BSplineFunction}:(u,v)\mapsto (x,y,z)$, so instead of Plot3D[surfFn[x/7, y/5][[3]], {x, 0, 7}, {y, 0, 5}], it should be written as ParametricPlot3D[surfFn[u, v], {u, 0, 1}, {v, 0, 1}]. cpts = Table[{x, y, RandomReal[{0, 2}]}, {x, 0, 7}, {y, 0, ...


1

I have just sent a bug report to Wolfram myself. I'm running Mathematica 9.0.1 on Windows 8.1 64 Bit. As user7987 already found out, Mathematica seems to compute the wrong derivatives (functions D or ' or Derivative), if the BSplineFunction is rational (at least one weight different from 1.0). The ND function on the other hand gets the correct result. ...



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