On the Radon transform and linear transformations of images

F Hjouj, MS Jouini - Proceedings of the 2019 2nd International …, 2019 - dl.acm.org
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 …

Towards tomography with random orientation

F Hjouj - Proceedings of the 2019 2nd International Conference …, 2019 - dl.acm.org
We consider the two-dimensional parallel beam Tomography problem in which both the
object being imaged and the projection directions are unknown. Specifically: Given unsorted …

On Tomography with Unknown Orientation

F Hjouj - Journal of Mathematical Sciences & …, 2015 - journals.atlas-publishing.org
We consider the two-dimensional parallel beam Tomography problem in which both the
object being imaged and the projection directions are unknown. The angles of projections …

Using Few Radon Projections to Recover 3-D NMR Spectrum

FI Hjouj - Journal of Mathematical Sciences & …, 2017 - journals.atlas-publishing.org
Given a regular binary function f on R 2 with compact support D, we use translation to form a
new binary function g from f so that the image representation of g (x, y) is made up of non …

On Tomography with Limited Data

F Hjouj - Journal of Mathematical Sciences & …, 2016 - journals.atlas-publishing.org
We give an algorithm for reconstructing a density function f in the plane from limited number
of Radon projections on a range of angles−?∗<?<?∗ together with a few well selected …