File:Spline Multiplicity two effect.svg

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English: A cubic spline comprised of three polynomial segments is defined over a knot sequence with a single multiplicity knot at parametric value 1/3 and a double multiplicity knot at parametric value 2/3. Moving an interior control point (in this case, the third one) generally gives rise to C1 smoothness. Compare with Image:Spline Multiplicity one effect.svg, which is continuous through the second derivative. This curve exhibits a jump in the second derivative value at the join between the second and third polynomial segment. See also Image:Spline Multiplicity three effect.svg
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Author Garry R. Osgood


 
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current02:54, 7 July 2008Thumbnail for version as of 02:54, 7 July 2008780 × 638 (23 KB)Garry R. Osgood (talk | contribs){{Information |Description={{en|1=A cubic spline comprised of three polynomial segments is defined over a knot sequence with a single multiplicity knot at parametric value 1/3 and a double multiplicity knot at parametric value 2/3. Moving an interior cont

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