An unconditionally stable numerical method for bimodal image segmentation

Yibao Li, Junseok Kim

    Research output: Contribution to journalArticlepeer-review

    28 Citations (Scopus)

    Abstract

    In this paper, we propose a new level set-based model and an unconditionally stable numerical method for bimodal image segmentation. Our model is based on the Lee-Seo active contour model. The numerical scheme is semi-implicit and solved by an analytical method. The unconditional stability of the proposed numerical method is proved analytically. We demonstrate performance of the proposed image segmentation algorithm on several synthetic and real images to confirm the efficiency and stability of the proposed method.

    Original languageEnglish
    Pages (from-to)3083-3090
    Number of pages8
    JournalApplied Mathematics and Computation
    Volume219
    Issue number6
    DOIs
    Publication statusPublished - 2012 Nov 25

    Bibliographical note

    Funding Information:
    This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (No. 2011-0023794 ).

    Keywords

    • Chan-Vese model
    • Energy minimization
    • Image segmentation
    • Lee-Seo model
    • Level set model
    • Unconditional stability

    ASJC Scopus subject areas

    • Computational Mathematics
    • Applied Mathematics

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