What do you mean by parabolic splines, Computer Graphics

What do you mean by parabolic splines? 

For parabolic splines a parabola is fitted by the first three points p1, p2,p3 of the data array of kot points. Then a second parabolic arc is found to fit the sequence of point's p2, p3, p4. This continues in this way unless a parabolic arc is found to fit by points pn-2, pn-1 and pn. The final plotted curve is a meshing together of all these parabolic arcs. 


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