On the Radon Transform and Linear Transformations of Images
Fawaz Ibrahim Hjouj, Mohamed Soufiane Jouini · 2019
We present a novel original method for estimating and recovering a general geometric transformation which is applied to an image. Our main tool is the Radon Transform; we develop analysis to address the behavior of this transform under a Linear Transformation in terms of the singular value decomposition of the Transformation's matrix. We derive a mathematical exact solution to this problem. We then implement our analysis and validate the work on synthetic images as well as real images. In so doing, we developed efficient numerical tools for carrying out such analysis.