Endrodi, Gergely (2011) Multidimensional spline integration of scattered data. COMPUTER PHYSICS COMMUNICATIONS, 182 (6). pp. 1307-1314. ISSN 0010-4655, 1879-2944
Full text not available from this repository. (Request a copy)Abstract
We introduce a numerical method for reconstructing a multidimensional surface using the gradient of the surface measured at some values of the coordinates. The method consists of defining a multidimensional spline function and minimizing the deviation between its derivatives and the measured gradient. Unlike a multidimensional integration along some path, the present method results in a continuous, smooth surface, furthermore, it also applies to input data that are non-equidistant and not aligned on a rectangular grid. Function values, first and second derivatives and integrals are easy to calculate. The proper estimation of the statistical and systematical errors is also incorporated in the method. (C) 2011 Elsevier B.V. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | POWELL-SABIN SPLINES; APPROXIMATION; INTERPOLATION; ALGORITHM; SURFACES; Multidimensional integration; Spline function; Multivariate interpolation |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 15 Jun 2020 13:50 |
| Last Modified: | 15 Jun 2020 13:50 |
| URI: | https://pred.uni-regensburg.de/id/eprint/20779 |
Actions (login required)
 |
View Item |
