Blur invariants constructed from arbitrary moments

Jaroslav Kautsky, Jan Flusser

    Research output: Contribution to journalArticlepeer-review

    16 Citations (Scopus)


    This paper deals with moment invariants with respect to image blurring. It is mainly a reaction to the works of Zhang and Chen , recently published in these Transactions. We present a general method on how to construct blur invariants from arbitrary moments and show that it is no longer necessary to separately derive the invariants for each polynomial basis. We show how to discard dependent terms in blur invariants definition and discuss a proper implementation of the invariants in orthogonal bases using recurrent relations. An example for Legendre moments is given.

    Original languageEnglish
    Article number5872036
    Pages (from-to)3606-3611
    Number of pages6
    JournalIEEE Transactions on Image Processing
    Issue number12
    Publication statusPublished - Dec 2011


    • Blur invariants
    • Image moments
    • Moment invariants
    • Orthogonal moments


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