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.
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29 August 2023
6TH INTERNATIONAL CONFERENCE ON MATHEMATICAL APPLICATIONS IN ENGINEERING
9–10 August 2022
Kuala Lumpur, Malaysia
Research Article|
August 29 2023
Review and improvement of the linear transformation of images
Mohammad Hjouj;
Mohammad Hjouj
a)
1
Department of Medical Imaging, Al Quds University-Jerusalem – Palestine
Israel
a)Corresponding author: [email protected]
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Muntaser S. Ahmad;
Muntaser S. Ahmad
b)
2
Department of Medical Imaging, Palestine Ahliya University
, Bethlehem-Palestine Israel
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Fawaz Hjouj
Fawaz Hjouj
c)
3
Department of Mathematics, Khalifa University
, Abu Dhabi, UAE
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AIP Conf. Proc. 2880, 060003 (2023)
Citation
Mohammad Hjouj, Muntaser S. Ahmad, Fawaz Hjouj; Review and improvement of the linear transformation of images. AIP Conf. Proc. 29 August 2023; 2880 (1): 060003. https://doi.org/10.1063/5.0165763
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