Reinitialization for Level Set Methods

  • In the following an introduction to the level set method will be givenso that one becomes aware of the arising problems, which lead to the needof reinitialization. The problems concerning reinitialization itself will be analysed more detailed and a solution for area loss will be proposed. This solution consists in a combination of the commonly used PDE for reinitialization and extrapolation around the zero level set. Numericalexperiments show rather satisfactory results as far as area loss and computation of curvature are concerned.

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Metadaten
Author:Rainer Keck
URN:urn:nbn:de:hbz:386-kluedo-4501
Document Type:Preprint
Language of publication:English
Year of Completion:1998
Year of first Publication:1998
Publishing Institution:Technische Universität Kaiserslautern
Date of the Publication (Server):2000/04/03
Tag:area loss; level set method; reinitialization
Faculties / Organisational entities:Kaiserslautern - Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
MSC-Classification (mathematics):65-XX NUMERICAL ANALYSIS / 65Dxx Numerical approximation and computational geometry (primarily algorithms) (For theory, see 41-XX and 68Uxx)
68-XX COMPUTER SCIENCE (For papers involving machine computations and programs in a specific mathematical area, see Section {04 in that areag 68-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011