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Two efficient algorithms for surface construction.
- Source :
-
Applicable Analysis . Mar2014, Vol. 93 Issue 3, p490-510. 21p. - Publication Year :
- 2014
-
Abstract
- In this paper, we are concerned with two efficient algorithms for surface construction. Based on the Gauss equations, a discretized nonlinear equation of the formshould be solved in the process of surface construction. We first consider a regularized fixed-point iterative algorithm for solving the discretized equation, in which we determine the actual regularization parameter by the Morozov discrepancy principle. A two-parameter algorithm is employed for solving the Morozov equation, and the convergence of the regularized fixed-point iterative algorithm is demonstrated. Secondly, we also propose the regularizing Levenberg–Marquardt scheme to solve the discretized equation, in which the regularization parameter is chosen to be a small constant. Numerical experiments are provided to demonstrate the robustness and efficiency of the two algorithms. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00036811
- Volume :
- 93
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Applicable Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 94831590
- Full Text :
- https://doi.org/10.1080/00036811.2013.781157