Cumulative chords,Piecewise-Quadratics and Piecewise-cubics

Cumulative chord piecewise-quadratics and piecewise-cubics are examined indetail, and compared with other low degree interpolants for unparameterized data from regular curves in R n, especially piecewise-4-point quadratics. Orders of approximation are calculated and compared with numerical experiments.Good performance of the interpolant is also confirmed experimentally on sparse data. This work may be applicable in computer graphics and vision: image seg-mentation, medical image processing, or computer aided geometrical design.