Name
Title | ||
|---|---|---|
Least–squares approximation by pythagorean hodograph spline curves via an evolution process |
Abstract | ||
|---|---|---|
The problem of approximating a given set of data points by splines composed of Pythagorean Hodograph (PH) curves is addressed. In order to solve this highly non-linear problem, we formulate an evolution process within the family of PH spline curves. This process generates a one–parameter family of curves which depends on a time–like parameter t. The best approximant is shown to be a stationary point of this evolution. The evolution process – which is shown to be related to the Gauss–Newton method – is described by a differential equation, which is solved by Euler's method. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1007/11802914_4 | GMP |
Keywords | Field | DocType |
least squares approximation,differential equation | Spline (mathematics),Least squares,Differential equation,Family of curves,Polynomial interpolation,Curve fitting,Mathematical analysis,Euler's formula,Stationary point,Mathematics | Conference |
Volume | ISSN | ISBN |
4077 | 0302-9743 | 3-540-36711-X |
Citations | PageRank | References |
1 | 0.36 | 12 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Martin Aigner | 1 | 72 | 6.08 |
| Zbynek Sír | 2 | 54 | 5.67 |
| Bert Jüttler | 3 | 1148 | 96.12 |