__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 (96^{th}
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 (95^{th}
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 (94^{th} 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 (93^{rd} 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 (92^{nd} Meeting of the MAA),

· **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 (91^{st} Meeting of the MAA),

· **Projects in Linear Algebra Using Digital Image Processing**

Presented
at the Joint Mathematics Meeting (91^{st} Meeting of the MAA),

· **Enhancement of Digital Images Using the Laplacian**

Presented
at the MAA Annual Southwestern Section,

· **Linear Algebra and Digital Image Processing**

Presented
at the annual meeting of the American Association for the Advancement of
Science (AAAS),

· **Enhancing the Teaching of Linear Algebra with Digital Image Processing**

Presented
at the Joint Mathematics Meeting (90^{th} Meeting of the MAA),

· **Approximate Contour Image Generation: A Project in Linear Algebra**

Presented
at the Joint Mathematics Meeting (90^{th} Meeting of the MAA),

· **Filtering Images in a Linear Algebra Course**

Presented
at the MAA Southern California-Nevada Section,

· **Enhancement of Images: A Project in Linear Algebra**

Presented
at the Mathfest,

· **Binary Images in Discrete Mathematics**

Presented
at the Joint Mathematics Meeting (88^{th} Meeting of the MAA),

· **DIP-Based Projects in
Linear Algebra**

Presented at the Joint Mathematics Meeting (87th Meeting of the MAA),

· **Mathematics Experiences Through
Digital Signals**

Presented at the Joint Mathematics Meeting (86th Meeting of the MAA),

· **Detection of Abrupt
Changes in Signals: A New Approach**

Proc. 17th Conference on Applied Mathematics,

· **Linear Algebra and
Digital Image Processing**

Presented at the Joint Mathematics Meeting (85th Meeting of the MAA),

· **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,

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

Proc. 16th Conference on Applied Mathematics,

· **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,