Research

.  Annual Patterns of Atmospheric Pollutions and Episodes over Cairo Egypt (with H. El-Askary, Y. Aboel Fetouh, M. El Raey, W. A. Sprigg, and M. Kafatos)

 

Advances in Meteorology Journal, In Press 2013

.  Linear Algebra and Digital Signal Processing

 

Presented at the PNW MAA Section, Willamette University, OR, April 12-13, 2013

.  Mathematical Modeling for Image Inpainting

 

Presented at the Joint Mathematics Meeting (96th Meeting of the MAA), San Diego, Jan. 9-12, 2013

.  Computational Methods for Climate Data (with H. El-Askary, C. Rakovski, A. Prasad, M. Kafatos, and D. Struppa)

 

WIREs: Computational Statistics Journal, WIREs Comput Stat 2012. doi: 10.1002/wics.1213.

.  Mathematics in Computed Tomography

 

Presented at the Joint Mathematics Meeting (95th Meeting of the MAA), Boston, Jan. 4-7, 2012

. The Bernoulli Family: Their Massive Contributions to Mathematics and Hostility toward each other (with D. Bui)

 

Chapman e-Research Journal, Vol. 2, No 2 (2011), pp. 65-75

 

·         Application of a Chaotic Map to Digital Images

 

Presented at the Joint Mathematics Meeting (94th Meeting of the MAA), New Orleans, Jan. 6-9, 2011

 

·         Spherical Cap Discrepancy and Inequalities on the Sphere

 

Journal of Mathematical Inequalities, Vol. 4, Issue 4, 2010, pp. 537-547

.   Spherical Covering using an Equidistributed Set of Points

 

Presented at the MAA Southern California-Nevada Section, University of California at Irvine, CA, Oct 16, 2010

 

·         Mathematics in Signal Processing

 

Presented at the Joint Mathematics Meeting (93rd Meeting of the MAA), San Francisco, Jan. 13-16, 2010

 

·         Linear Algebra and Image Processing

 

International Journal of Mathematical Education in Science and Technology, Vol. 41, Issue 6, 2010, pp. 725-741

 

·    Mathematical Morphology

 

Presented at the MAA Southern California-Nevada Section, California State University at San Bernardino, CA, Oct 17, 2009

 

·         Digital Signal Processing in the Service of Mathematics Courses

 

Presented at the Joint Mathematics Meeting (92nd Meeting of the MAA), Washington DC, Jan. 5-9, 2009

 

·    Mathematics through Image Manipulation

 

Presented at the MAA Southern California-Nevada Section, Scripps College at Claremont, CA, Oct 11, 2008

 

·    Singular Value Decomposition and Digital Image Processing

 

Presented at the Joint Mathematics Meeting (91st Meeting of the MAA), San Diego, CA, Jan. 6-9, 2008

 

·    Projects in Linear Algebra Using Digital Image Processing

 

Presented at the Joint Mathematics Meeting (91st Meeting of the MAA), San Diego, CA, Jan. 6-9, 2008

 

·    Enhancement of Digital Images Using the Laplacian

 

Presented at the MAA Annual Southwestern Section, Albuquerque, NM, Apr. 13-14, 2007

 

·    Linear Algebra and Digital Image Processing

 

Presented at the annual meeting of the American Association for the Advancement of Science (AAAS), San Francisco, CA, Feb. 15-19, 2007

 

·    Enhancing the Teaching of Linear Algebra with Digital Image Processing

 

Presented at the Joint Mathematics Meeting (90th Meeting of the MAA), New Orleans, LA, Jan. 5-8, 2007

 

·    Approximate Contour Image Generation: A Project in Linear Algebra

 

Presented at the Joint Mathematics Meeting (90th Meeting of the MAA), New Orleans, LA, Jan. 5-8, 2007

 

·    Filtering Images in a Linear Algebra Course

 

Presented at the MAA Southern California-Nevada Section, California State University at Long Beach, CA, Oct 21, 2006

 

·    Enhancement of Images: A Project in Linear Algebra

 

Presented at the Mathfest, Albuquerque, NM, Aug. 4-6, 2005

 

·    Binary Images in Discrete Mathematics

 

Presented at the Joint Mathematics Meeting (88th Meeting of the MAA), Atlanta, GA, Jan. 5-8, 2005

 

·    DIP-Based Projects in Linear Algebra

Presented at the Joint Mathematics Meeting (87th Meeting of the MAA), Phoenix, AZ, Jan. 7-10, 2004

·    Mathematics Experiences Through Digital Signals

Presented at the Joint Mathematics Meeting (86th Meeting of the MAA), Baltimore, MD, Jan. 15-18, 2003

·    Detection of Abrupt Changes in Signals: A New Approach

Proc. 17th Conference on Applied Mathematics, Edmond, OK, Oct. 25-27, 2002

·    Linear Algebra and Digital Image Processing

Presented at the Joint Mathematics Meeting (85th Meeting of the MAA), San Diego, CA, Jan. 6-9, 2002

·    Strictly Positive Definite Functions on a Compact Group (with T. Przebinda)

We recognize a result of Schreiner, concerning strictly positive definite functions on a sphere in an Euclidean space, as a generalization of Bochner's theorem for compact groups.

Proceedings of the AMS, Vol. 129, March 2001, pp. 1459-1462

·    Compression on the Digital Unit Sphere

Electron. J. Diff. Eqns., Vol. Conf. 07, 2001, pp. 15-24

·    Using Wavelet-Based Indices for Detecting Abrupt Changes in Signals (with V. DeBrunner)

Proc. 35th IEEE Asilomar Conf. Signals, Syst., Comput., Pacific Grove, CA, Nov. 4-7, 2001, pp. 726-729

·    Spectral Analysis of Uterine Junctional Zone Contractions (with P. Lesny and T. Przebinda)

Presented at the Second World Congress on Controversies in Obstetrics, Gynecology & Infertility, Paris, France, Sept. 6-9, 2001

·    Digital Signal Processing on the Unit Sphere via a Ramanujan Set of Rotations

Proc. 16th Conference on Applied Mathematics, Edmond, OK, Feb. 23-24, 2001, pp. 15-24

·    A Ramanujan Spherical Code (with V. DeBrunner)

Proc. 34th IEEE Asilomar Conf. Signals, Syst., Comput., Pacific Grove, CA, Oct. 29-31, 2000, pp. 777-780

·    Characteristic Equations of Rectangular Plates by Differential Transformation (with M. Malik)

Journal of Sound and Vibration, Vol. 233, No. 2, June 2000, pp. 359-366

·    Wavelet Analysis of the Sonogram of the Slow Contractions of a Uterus (with T. Przebinda)

Presented at the Department of Obstetrics and Gynecology, University of Hull, UK, July 26, 1999