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Profile

College / Department

College of Arts and Sciences
Department of Mathematics and Statistics

Teaching areas

Applied Mathematics

Research areas

• Radon transforms • Integral Geometry • Integral Equations• Mathematical Problems of Imaging• Computerized Tomography

Education

M.S. in Mathematics, University of Texas at Arlington, USA, 2009
B.S. in Engineering, Lycée Sainte Genevieve, France, 2001
M.S. in Engineering, Ecole Centrale Paris, France, 2004
Ph.D. in Applied Mathematics, University of Texas at Arlington, USA, 2011

Professional experience

Assistant professor at the Department of Mathematics & Statistics, Sep 2011- present American University of Sharjah, UAE
Adjunct Faculty at the Department of Mathematics, 2010 LoneStar College Cy-Fair, USA
Adjunct Faculty at the Department of Mathematics, 2010 LoneStar College Tomball, USA
Graduate Research Assistant at the Department of Mathematics, 2008-2011 Department of Defense Medical Research

Memberships

• Learning and Teaching in Higher Education: Gulf Perspectives (LTHE).

Contact

rgouia@aus.edu
+971 6 515 4046

Dr. Rim Gouia

Assistant Professor
PhD in Applied Mathematics, University of Texas at Arlington, USA

After a brief career in the industry (Bouygues Construction, France; and XTO Energy, ExxonMobil, USA) Rim Gouia joined academia at the University of Texas. Dr. Gouia has taught mathematics at graduate and undergraduate levels at various institutions. She is an active member of several multidisciplinary research teams in the US and the UAE. Her research interests include integral geometry, Radon transforms and mathematical problems of medical imaging.

Publications

Patel, Adil, and Rim Gouia-Zarrad. "Detecting Topographical Eye Disorders." BIOMATH 5, no. 2 (2017): 1612281.
Gouia Zarrad, Rim. "Inversion of a class of parabolic Radon transforms." Mathematical Inverse Problems (ISSN 2381-9634) 3, no. 1 (2016): 1-11.
Gouia-Zarrad Rim, Cindy Gunn, Diana Audi. Assessing the Role of Mobile Technologies and Distance Learning in Higher Education (chapter 3: Using iPads in University Mathematics Classes: What do the students think?). Hershey, Pennsylvania (USA): IGI Global, 2014.
Gouia Zarrad, Rim. "Analytical reconstruction formula for n-dimensional conical Radon transform." Computers and Mathematics with Applications 68, no. 9 (2014): 1016–1023. doi: 10.1016/j.camwa.2014.04.019. url: http://www.sciencedirect.com/science/article/pii/S0898122114001795. [Comment: ISSN# 0898-1221. ]
"Inversion of the spherical Radon transform in a spherical shell", with G. Ambartsoumian and V. Krishnan, in preparation.
"Exact inversion of the conical Radon transform with a fixed opening angle", with G. Ambartsoumian, submitted, preprint at arXiv:1309.6581.
Gouia Zarrad, Rim. "Analytical reconstruction formula for n-dimensional conical Radon transform." Computers and Mathematics with Applications 68, no. 9 (2014): 1016–1023. doi: 10.1016/j.camwa.2014.04.019. url: http://www.sciencedirect.com/science/article/pii/S0898122114001795. [Comment: ISSN# 0898-1221. ]
D. Audi, R. Gouia-Zarrad, “Tablet PCs, a new philosophy of teaching mathematics”, Proceedings of the 13th International Educational Technology Conference, Kuala Lumpur, Malaysia 2013.
"Existence and uniqueness of the inversion of a generalized Radon transform", IEEEXplore proceedings of the 5th Modeling, Simulation and Applied Optimization (ICMSAO), 2013.
“Approximate inversion algorithm of the elliptical Radon transform", with G. Ambartsoumian, IEEEXplore proceedings of ISMA 2012, Biomedical Applications (2012), ISBN 978-1-4673-0862-5.
“Inversion of the circular Radon transform on an annulus” with G. Ambartsoumian and M. Lewis, Inverse Problems, #26 (2010) 105015.

Conference Presentations

Gouia Zarrad, Rim. "The V-Line Radon Transform and its Biomedical Imaging Applications." In Biomath Communications Vol 3, No 1 (2016).
Ambartsoumian, Gaik, Rim Gouia Zarrad, and Sunghwan Moon. "On the V-line Radon transform and its applications in imaging." Paper presented at the "Mathematics and Algorithms in Tomography" Mathematisches Forschungsinstitut Oberwolfach (MFO), Oberwolfach, Germany, August 10-16, 2014.
“Reconstruction of a function from its elliptical Radon transform”, 2013 Biomath 2013, Sofia, Bulgaria.
“Reconstruction of the circular Radon transform from partial data”, 2013Waves 2013, Gammarth, Tunisia.
“Existence and uniqueness of the inversion of a generalized Radon transform”, ICMSAO'13 5th International conference on modeling, simulation and applied optimization, Hammamet, Tunisia.
“Ultrasound operator in circular geometry”, 2012 International Conference: Mathematical Science and Applications, Abu Dhabi.
“Inversion of the circular Radon transform”, 2012 10th UAE MathDay Conference at the AUS.
“Approximate inversion algorithm of the elliptical Radon transform”, 2012 International Symposium on Mechatronics and its Applications 2012, AUS.
“Integral geometry in medical imaging”, 2011 The 27TH Southern Biomedical Engineering Conference
“Acoustic Inverse Scatteringfor Breast Cancer Detection”, 2011 UT Metroplex Day at UT Southwestern Medical Center
“Inversion of the Circular Radon Transform from Partial Data”, 2011 AMS Session on Topics in Analysis at the Joint Math Meetings in New Orleans
“Inversion of the Circular Radon Transform on an Annulus”, 2011 Workshop in Analysis and Geometry at Louisiana State University
“Mathematics of Ultrasound Tomography”, 2010Mathematical Association of America (MAA) Meeting at Abilene University
“Ultrasound Tomography for Breast Cancer Detection”, 2010 Annual Celebration of Excellence by studentsat UTA
“Acoustic Inverse Scatteringfor Breast Cancer Detection”, 2010 UT Metroplex Day at the University of Texas at Dallas

Awards and Honors

FRG3 (American University of Sharjah Grant): Principal Investigator, 14,550 AED, “Integral geometry: Reconstructing a function through its integrals”, 2013.
Stephen R. Bernfeld Memorial Scholarship for excellence, UTA, 2010-1011
Outstanding Graduate Research Assistant, UTA, 2010-2011
STEM Doctoral Research Assistant Fellowship, UTA, 2009-2011
Tunisian & French Scholarship for outstanding A-level graduation, 1998-2004

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