Modified Hermite quintic curves and applications (Q1182343)

A set of points is broken into sectors. For each sector of length \(p+1\), a quintic curve is developed that interpolates the initial point, an interior point and the endpoint and that also matches tangent components at each of these three points. The points in the sector that have not so far involved are tested with their tangent components for goodness of fit. If all the points in the sector are accepted, the procedure passes on the next interval. If any points in the sector are not accepted, then \(p\) is decremented and the process is repeated for the shorter sector.