Jan Walzer <jan### [at] lzernet> wrote:
> because, if you do a linear-interpolation between the two points,
> it is quite uncertain, that the way-on-spline is shorter ...   No?

  A line is the shortest distance between two points. This means that any
other path is longer. Thus the spline can never be shorter than the linear
estimate. As a spline seldom consists of straight lines (except for the
linear spline), it's always longer than the linear estimate.

-- 
#macro M(A,N,D,L)plane{-z,-9pigment{mandel L*9translate N color_map{[0rgb x]
[1rgb 9]}scale<D,D*3D>*1e3}rotate y*A*8}#end M(-3<1.206434.28623>70,7)M(
-1<.7438.1795>1,20)M(1<.77595.13699>30,20)M(3<.75923.07145>80,99)// - Warp -

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