Review and improvement of the linear transformation of images

Mohammad Hjouj, Muntaser S. Ahmad, Fawaz Hjouj

    Research output: Contribution to journalConference articlepeer-review

    12 Scopus citations

    Abstract

    A common problem in the field of image processing is recovering a geometrical distortion such as scaling, rotation, translation, shearing, and others. These types of distortions can be described by a general affine transform. In this work, the problem of recovering a transformation applied on a reference image f is considered. A review on the most known methods for recovering a general linear transformation, or a distortion from an inspected image g and a reference image f, is conducted. A new efficient estimation method without using a prior knowledge or assumptions is proposed. The proposed algorithms use the moments of the Radon projections of f and g. In some cases, our proposed algorithm needs only two orthogonal projections such as the view angles 0, and π/2. Mathematical formulations are given for recovering the transformation of shifting, scaling, rotation, and general reflection.

    Original languageBritish English
    Article number060003
    JournalAIP Conference Proceedings
    Volume2880
    Issue number1
    DOIs
    StatePublished - 29 Aug 2023
    Event6th International Conference on Mathematical Applications in Engineering 2022, ICMAE 2022 - Virtual, Online, Malaysia
    Duration: 9 Aug 202210 Aug 2022

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