Saturday, October 27, 2007

piecewise linear vs smooth interpolation

suppose you are given a bunch of points on a plane. is the natural thing to consider a smoothly interpolated curve passing through the points or do a piecewise-linear join of the points

(it seemed to me that when the points have an naturally appealing polygon shape, then the piecewise linear interpolation occurs, otherwise the tendency is to draw a smooth curve through the points)

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