Advancements in 2D/3D Image Registration Methods

Advancements in 2D/3D Image Registration Methods

In this paper, we present methods for identifying an image from a given set of Radon projections. Given a suitably regular 2-D or 3-D function, we form a new function g from f using a linear transformation. We show how the Radon projections of f and g can be used to determine the transformation. The...

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Bibliographic Details
Published in:IEEE access Vol. 11; p. 1
Main Authors: Hjouj, F., Soufiane Jouini, M., AlKhaleel, M.
Format: Journal Article
Language:English
Published: Piscataway IEEE 01-01-2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Affine Transformation
Algorithms
Biomedical imaging
Correlation
Digital Watermarking
Image registration
Linear Transformation
Linear transformations
Mathematical models
Radon
Radon Transform
Rotation
Transforms
Watermarking
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Summary:In this paper, we present methods for identifying an image from a given set of Radon projections. Given a suitably regular 2-D or 3-D function, we form a new function g from f using a linear transformation. We show how the Radon projections of f and g can be used to determine the transformation. The proposed algorithms introduce three major contributions, (1) Improvements on the 2-D setting using the moments of the Radon projections with only two orthogonal projections. (2) A natural extension of the 2-D setting to work with the 3-D setting. In particular, reducing the 3-D problem to a 2-D problem so that we can recover a translation, a scaling, or a rotation transformation of a 3-D object in the Radon domain. (3) An efficient method of recovering a rotation of a 3-D image around an arbitrary axis and an angle of rotation.
ISSN:2169-3536
2169-3536
DOI:10.1109/ACCESS.2023.3264968