A convergence proof for local mode filtering

Shuoyan Zhang, Kohei Inoue, Kenji Hara

    Research output: Contribution to journalArticlepeer-review

    1 Citation (Scopus)


    In this paper, we present a convergence proof for an iterative procedure of local mode filtering. We formulate the local mode filtering as a quadratic optimization problem based on the Legendre transform of convex function, from which two closed-form expressions at each iteration step are derived for variables to be optimized. Those analytical solutions ensure that the value of objective function increases monotonically with the progress of the iterative procedure. We also show experimental results using a grayscale image, which support our theoretical results practically.

    Original languageEnglish
    Pages (from-to)445-448
    Number of pages4
    JournalICT Express
    Issue number4
    Publication statusPublished - Dec 2021

    All Science Journal Classification (ASJC) codes

    • Software
    • Information Systems
    • Hardware and Architecture
    • Computer Networks and Communications
    • Artificial Intelligence


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