Name
Abstract | ||
|---|---|---|
We report here on the problem of estimating a smooth planar curve γ: [0, T] → ℝ2 and its derivatives from an ordered sample of interpolation points γ(t
0), γ(t
1),...,γ(t
i
-1),γ(t
i
),...,γ(t
m
-1),γ(t
m
), where 0 = t
0 t
1 t
i
- 1 t
i
t
m
- 1 t
m
= T, and the t
i
are not known precisely for 0 i m. Such situtation may appear while searching for the boundaries of planar objects or tracking the mass center of a rigid body
with no times available. In this paper we assume that the distribution of t
i
coincides with more-or-less uniform sampling. A fast algorithm, yielding quartic convergence rate based on 4-point piecewise-quadratic interpolation is analysed and tested. Our algorithm forms a substantial improvement
(with respect to the speed of convergence) of piecewise 3-point quadratic Lagrange intepolation [19] and [20]. Some related work can be found in [7]. Our results may be of interest in computer vision and digital image processing [5], [8], [13], [14], [17] or [24], computer graphics [1], [4], [9], [10], [21] or [23], approximation and complexity theory [3], [6], [16], [22], [26] or [27], and digital and computational geometry [2] and [15].
|
Year | DOI | Venue |
|---|---|---|
2002 | 10.1007/3-540-47967-8_41 | European Conference on Computer Vision |
Keywords | Field | DocType |
curve interpolation,computer vision,algorithm form,t0 t1 ti-1 ti,shape,image analysis and features,digital image processing,4-point piecewise-quadratic interpolation,fast algorithm,planar object,interpolating sporadic data,quartic convergence rate,computer graphics,interpolation point,computer graphic,rigid body,convergence rate,computational geometry,image analysis | Discrete mathematics,Computer vision,Interpolation,Computational geometry,Quadratic equation,Rigid body,Quartic function,Planar,Artificial intelligence,Rate of convergence,Piecewise,Mathematics | Conference |
Volume | ISSN | ISBN |
2351 | 0302-9743 | 3-540-43744-4 |
Citations | PageRank | References |
6 | 0.82 | 10 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Lyle Noakes | 1 | 149 | 22.67 |
| Ryszard Kozera | 2 | 163 | 26.54 |