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On Image Registration using The Radon Transform: Review-and-Improvement

Fawaz Hjouj, Mohamed Soufiane Jouini

202118 citationsDOI

Abstract

In this paper, we review the problem of identifying a Linear Transformation applied on an image. Three major parts are presented, all involved the use of Radon Transform: First, recovering a sequence of basic transformations on an image; namely, reflection, rotation, dilation, and translation. Second, recovering a transformation on reference Image and an inspected image, where is obtained from by a general Linear Transformation. In doing so, we review our Analysis using the Singular Value Decomposition of the Transformation's Matrix. Third, we present an alternative efficient method of obtaining a matrix of transformation by testing a well-defined class of potential matrices using only the two projections of the inspected image.

Topics & Concepts

Transformation (genetics)Transformation matrixSingular value decompositionRadon transformTranslation (biology)Artificial intelligenceComputer visionRotation (mathematics)Image (mathematics)Computer scienceLinear mapImage processingRadonMatrix (chemical analysis)MathematicsBiochemistryChemistryPure mathematicsMaterials scienceKinematicsMessenger RNAQuantum mechanicsPhysicsGeneComposite materialClassical mechanicsImage Retrieval and Classification TechniquesAdvanced Image and Video Retrieval TechniquesMedical Image Segmentation Techniques