Name
Abstract | ||
|---|---|---|
We propose a novel curvature estimation algorithm which is capable of estimating the curvature of digital curves and two-dimensional curved image structures. The algorithm is based on the conformal projection of the curve or image signal to the two-sphere. Due to the geometric structure of the embedded signal the curvature may be estimated in terms of first order partial derivatives in R3. This structure allows us to obtain the curvature by just convolving the projected signal with the appropriate kernels. We show that the method performs an implicit plane fitting by convolving the projected signals with the derivative kernels. Since the algorithm is based on convolutions its implementation is straightforward for digital curves as well as images. We compare the proposed method with differential geometric curvature estimators. It turns out that the novel estimator is as accurate as the standard differential geometric methods in synthetic as well as real and noise perturbed environments. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1007/978-3-642-15986-2_45 | DAGM-Symposium |
Keywords | Field | DocType |
standard differential geometric method,differential geometric curvature estimator,novel curvature estimator,projected signal,novel curvature estimation algorithm,geometric structure,digital curve,embedded signal,image signal,novel estimator,first order | Topology,Curvature,Total curvature,First order,Convolution,Algorithm,Partial derivative,Conformal map,Image signal,Mathematics,Estimator | Conference |
Volume | ISSN | ISBN |
6376 | 0302-9743 | 3-642-15985-0 |
Citations | PageRank | References |
2 | 0.42 | 7 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Oliver Fleischmann | 1 | 31 | 3.37 |
| Lennart Wietzke | 2 | 163 | 11.40 |
| Gerald Sommer | 3 | 269 | 21.93 |