Please use this identifier to cite or link to this item:
doi:10.22028/D291-26211
Title: | Fast methods for implicit active contour models |
Author(s): | Weickert, Joachim Kühne, Gerald |
Language: | English |
Year of Publication: | 2002 |
Free key words: | computer vision mean curvature motion |
DDC notations: | 510 Mathematics |
Publikation type: | Other |
Abstract: | Implicit active contour models belong to the most popular level set methods in computer vision. Typical implementations, however, suffer from poor efficiency. In this paper we survey an efficient algorithm that is based on an additive operator splitting (AOS). It is suitable for geometric and geodesic active contour models as well as for mean curvature motion. It uses harmonic averaging and does not require to compute the distance function in each iteration step. We prove that the scheme satisfies a discrete maximum-minimum principle which implies unconditional stability if no balloon forces are present. Moreover, it possesses all typical advantages of AOS schemes: simple implementation, equal treatment of all axes, suitability for parallel computing, and straightforward generalization to higher dimensions. Experiments show that one can gain a speed up by one order of magnitude compared to the widely used explicit time discretization. |
Link to this record: | urn:nbn:de:bsz:291-scidok-43861 hdl:20.500.11880/26267 http://dx.doi.org/10.22028/D291-26211 |
Series name: | Preprint / Fachrichtung Mathematik, Universität des Saarlandes |
Series volume: | 61 |
Date of registration: | 2-Dec-2011 |
Faculty: | MI - Fakultät für Mathematik und Informatik |
Department: | MI - Mathematik |
Collections: | SciDok - Der Wissenschaftsserver der Universität des Saarlandes |
Files for this record:
File | Description | Size | Format | |
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preprint_61_02.pdf | 1,18 MB | Adobe PDF | View/Open |
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