Abstract
Cumulative chord C¹ piecewise-cubics, for unparameterized data from regular curves in Rn, are constructed as follows. In the first step derivatives at given ordered interpolation points are estimated from ordinary (non-C¹) cumulative chord piecewise-cubics. Then Hermite interpolation is used to generate a C¹ piecewise-cubic interpolant. Theoretical estimates of orders of approximation are established, and their sharpness verified through numerical experiments. Good performance of the interpolant is also confirmed experimentally on sparse data.
Original language | English |
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Pages (from-to) | 285-301 |
Journal | Fundamenta Informaticae |
Volume | 61 |
Issue number | 3/4 |
Publication status | Published - 2004 |