Explain parabolic splines

Explain the meaning of the parabolic splines?

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For parabolic splines, a parabola is fitted through first three points’ p1, p2, p3 of the data array of kot points. After then, a second parabolic arc is found to fit the sequence of the point’s p2, p3, p4. This forms in this way until the parabolic arc is found to fit through the point’s pn-2, pn-1 and pn. The final plotted curve is resultant of meshing together of all these parabolic arcs.

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