On parameter estimation using level sets

Citation
Jm. Berg et K. Holmstrom, On parameter estimation using level sets, SIAM J CON, 37(5), 1999, pp. 1372-1393
Citations number
21
Categorie Soggetti
Mathematics,"Engineering Mathematics
Journal title
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
ISSN journal
03630129 → ACNP
Volume
37
Issue
5
Year of publication
1999
Pages
1372 - 1393
Database
ISI
SICI code
0363-0129(19990810)37:5<1372:OPEULS>2.0.ZU;2-G
Abstract
Consider the problem of selecting the member of a parametrized family of cu rves that best matches a given curve. This is a key step in determining pro per values for adjustable parameters in low-order plasma etching and deposi tion models. Level set methods offer several attractive features for treati ng such problems. This paper presents a parameter estimation scheme that ex ploits the level set formulation. The method is completely geometric; there is no need to introduce an arbitrary coordinate system for the curves. Ana lytic results necessary for the application of gradient descent algorithms are derived, and some preliminary numerical results are presented.