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 language | British English |
---|---|
Article number | 060003 |
Journal | AIP Conference Proceedings |
Volume | 2880 |
Issue number | 1 |
DOIs | |
State | Published - 29 Aug 2023 |
Event | 6th International Conference on Mathematical Applications in Engineering 2022, ICMAE 2022 - Virtual, Online, Malaysia Duration: 9 Aug 2022 → 10 Aug 2022 |