Review and improvement of the linear transformation of images

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 refe...

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Bibliographic Details
Main Authors: Hjouj, Mohammad, Ahmad, Muntaser S., Hjouj, Fawaz
Format: Conference Proceeding
Language:English
Subjects:
Affine transformations
Algorithms
Angles (geometry)
Distortion
Image processing
Linear transformations
Recovering
Rotation
Shearing
Online Access:Get full text
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Summary: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.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0165763