Name
Abstract | ||
|---|---|---|
Smooth cumulative chord piecewise-cubics, for unparameterised data from regular curves in R-n, are constructed as follows. In the first step derivatives at given ordered interpolation points are estimated from ordinary (non-C-1) cumulative chord piecewise-cubics. Then Hermite interpolation is used to generate a C-1 regular (geometrically smooth) piecewise-cubic interpolant. Sharpness of theoretical estimates of orders of approximation for length and trajectory is verified by numerical experiments. Good performance of the interpolant is also confirmed experimentally on sparse data. This may be applicable in computer graphics and vision, image segmentation, medical image processing, and in computer aided geometrical design. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1007/1-4020-4179-9_14 | COMPUTER VISION AND GRAPHICS (ICCVG 2004) |
Keywords | Field | DocType |
Interpolation, cumulative chord parameterisation, length and trajectory estimation, orders of convergence | Active contour model,Applied mathematics,Discrete mathematics,Interpolation,Image processing,Image segmentation,Chord (music),Hermite interpolation,Computer graphics,Sparse matrix,Mathematics | Conference |
Volume | Citations | PageRank |
32 | 2 | 0.38 |
References | Authors | |
9 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ryszard Kozera | 1 | 163 | 26.54 |
| Lyle Noakes | 2 | 149 | 22.67 |