Name
Abstract | ||
|---|---|---|
Surface representations based on the even Chebyshev-polynomials of the second kind were proposed earlier for description of corneal surfaces. Two approaches were proposed. According to the first one, the representation in radial direction is based on unmodified even Chebyshev-polynomials, while according to the second one, an adequate, application induced argument transform is applied to the polynomials. The surface needs to be sampled, or re-sampled, over a well-defined set of grid points. Between these grid points, interpolation is achieved via the continuous Chebyshev-polynomials and their argument transformed versions, respectively. In the present paper, the precision of the second representation approach is looked at for common cornea-like mathematical surfaces. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1109/MeMeA.2012.6226651 | Medical Measurements and Applications Proceedings |
Keywords | Field | DocType |
Chebyshev approximation,eye,polynomial approximation,continuous Chebyshev polynomials,cornea like mathematical surfaces,corneal surface representation,second kind Chebyshev polynomials,unmodified even Chebyshev polynomials | Chebyshev polynomials,Surface reconstruction,Applied mathematics,Approximation algorithm,Polynomial,Mathematical analysis,Interpolation,Approximation theory,Application software,Mathematics,Grid | Conference |
ISBN | Citations | PageRank |
978-1-4673-0880-9 | 0 | 0.34 |
References | Authors | |
2 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Alexandros Soumelidis | 1 | 12 | 6.69 |
| Zoltan Fazekas | 2 | 3 | 1.22 |
| F. Schipp | 3 | 42 | 11.66 |