Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 285-301 |
| Journal | Fundamenta Informaticae |
| Volume | 61 |
| Issue number | 3/4 |
| Publication status | Published - 2004 |
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C1 interpolation with cumulative chord cubics. / Kozera, Ryszard; Noakes, Lyle.
In: Fundamenta Informaticae, Vol. 61, No. 3/4, 2004, p. 285-301.Research output: Contribution to journal › Article
TY - JOUR
T1 - C1 interpolation with cumulative chord cubics
AU - Kozera, Ryszard
AU - Noakes, Lyle
PY - 2004
Y1 - 2004
N2 - 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.
AB - 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.
M3 - Article
VL - 61
SP - 285
EP - 301
JO - Fundamenta Informaticae
JF - Fundamenta Informaticae
SN - 0169-2968
IS - 3/4
ER -