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 Artyom M. Grigoryan, Ph.D.Assistant Professor Department of Electrical and Computer Engineering
Educational Background:
Areas of Research Interest: My research focuses on different areas of image and signal processing. I. My research in genomics includes developing a new approach for automatic 3-D fluorescent in situ hybridization (FISH) spot counting on tissue microarrays. The detection and accurate quantitation of gene copy number alterations is increasingly becoming important for better prediction of prognosis or therapy response in cancer patients. An automatic algorithm that counts fluor-tagged chromosomes has been developed, to detect increased or decreased gene copy numbers. II. In computed tomography (CT) and positron emission tomography (PET), my research focuses on the developing novel Fourier transform-based methods to solve the problem of the 2-D and 3-D image reconstruction from projections which leads to the solution of numerous problems in the field of diagnostic analysis, and is very important particular in medicine. The research now is focused on finding optimal schemes of collecting attenuation measurements for calculating the new representation of 2-D and 3-D images to be reconstructed (on the original Cartesian lattices) from projections, and finding the minimum required number of projections to be used for image reconstruction. III. In the theory and application of fast transforms, my research has been focused on the development of theory and methods of fast algorithms or the most effective splitting of the Fourier transforms of different orders in 1-D, 2-D, and 3-Dimension. For that the theory of fast paired transforms and paired representation have been introduced and applied for reducing the computation complexity not only the Fourier transform, but Hadamard, Hartley, and cosine transforms as well. I also serve as an Associate Editor of Journals Medical Physics and International Journal on Computers and Electrical Engineering. Selected Publications:A.M. Grigoryan, "Novel Reversible Integer Fourier Transform With Control Bits" (to appear in IEEE Transaction on Signal Processing, 2007). Arslan FT, Grigoryan AM. Fast splitting alpha-rooting method of image enhancement: tensor representation. IEEE Trans Image Process. 2006 Nov;15(11):3375-84. A.M. Grigoryan, E.R. Dougherty, J. Kononen, L. Bubendorf, G. Hostetter, and O.P. Kallioniemi, "Morphological Spot Counting from Stacked Images for Automated Analysis of Gene Copy Numbers by Fluorescence In Situ Hybridization," Biomedical Optics, vol. 7, no. 1, pp. 109-122, Jan. 2002. A.M. Grigoryan, G. Hostetter, O.P. Kallioniemi, and E.R. Dougherty, "Simulation Toolbox for 3D-FISH Spot Counting Algorithms," Real Time Imaging, vol. 8, no 3, pp. 203-212, June 2002. A.M. Grigoryan and E.R. Dougherty, "Automatic counting of illuminated spheres in a random Boolean model," [4667-21] Processing of SPIE, "Image Processing: Algorithms and Systems" Conference, Electronic Imaging 2002, IS&T/SPIE 13 International Symposium, San Jose, January 21-23 2002. Budendorf Lukas; Kononen Juha; Dougherty Edward R; Grigoryan Artyom M; Kallioniemi Olli P: "SIGNAL COUNTING FOR IN SITU HYBRIDIZATION" (WO0120044, Publication date: 2001-03-22). G.H. Hostetter, A.M. Grigoryan, C.L. Andersen, L. Bubendorf, J. Kononen, E.R. Dougherty, and O.P. Kallioniemi, "Towards Automated Spot Counting of Interphase FISH Experiments on Tissue Microarray," [2849] 2001 Annual Meeting of American Association for Cancer Research, New Orleans, March 24-29, 2001. A.M. Grigoryan and E.R. Dougherty, "Morphological counting of illuminated 3D bodies," [4304-06] Processing of SPIE, "Nonlinear Image Processing and Pattern Analysis XII" Conference, Electronic Imaging 2001, IS&T/SPIE 13 International Symposium, San Jose, January 22-23 2001. L. Bubendorf, A.M. Grigoryan, J. Kononen, M. Barlund, O. Monni, A. Kallioniemi, G. Sauter, E.R. Dougherty, and O. Kallioniemi, "FISH on tissue microarrays: Towards automated analysis of genetic alterations in thousands of tumors with multiple probes," The Eighth International Workshop on Chromosomes in Solid Tumors, Tucson, AZ, January 30 - February 1, 2000. G.H. Hostetter, C.L. Andersen, L. Bubendorf, J. Kononen, E.R. Dougherty, A.M. Grigoryan, O. Kallioniemi, "Design of an Automated Spot Counting Program for Interphase FISH on the Tissue Microarray," American Journal of Human Genetics, vol. 67, no. 4, 318, October 2000. A. M. Grigoryan, E.R. Dougherty, L. Bubendorf, J. Kononen, and O. Kallioniemi, "Rapid analysis of gene copy numbers by FISH and automatic spot counting from stacked confocal images" [3924-21] BIOS 2000, International Biomedical Optics Symposium, Conference Molecular Imaging: Reporters, Dyes, Markers, Instrumentation II, San Jose, California, January 2000. L. Bubendorf, J. Kononen, M. Barlund, A. Kallioniemi, A. Grigoryan, G. Sauter, E. R. Dougherty, and O.-P. Kallioniemi, "Tissue microarray FISH and digital imaging: towards automated analysis of thousands of tumors with thousands of probes" [316] Cancer Genetics, 49th Annual Meeting of the American Society of Human Genetics, Moscone Center in San Francisco, California, October 19-23, 1999, (received Postdoctoral Ttranslation Research Award at ASHG). A.M. Grigoryan, "Representation of the Fourier Transform by Fourier Series," Journal of Mathematical Imaging and Vision, March 2006. A.M. Grigoryan, "Fourier transform representation by frequency-time wavelets," IEEE Trans. on Signal Processing, 53 (7), 2489-2497, July 2005. A.M. Grigoryan, "An Algorithm for Calculation of the Discrete Cosine Transform by Paired Transform," IEEE Trans. on Signal Processing, vol. 53, no. 1, pp. 265-273, January 2005. A.M. Grigoryan, "Transform-Based Image Enhancement Algorithms With Performance Measure," in Advances in Imaging and Electron Physics, Academic Press, vol. 130, pp. 165-242, May 2004. A.M. Grigoryan and S.S. Agaian, Multidimensional Discrete Unitary Transforms: Representation, Partitioning, and Algorithms, Marcel Dekker, Inc., August 2003. A.M. Grigoryan, "Method of Paired Transforms for Reconstruction of Images from Projections: Discrete Model," IEEE Trans. on Image Processing, vol. 12, no. 9, pp. 985-994, Sept. 2003. A.M. Grigoryan, "2-D Hexagonal DFT splitting," IEEE Transaction on Signal Processing, June 2002, vol. 50, no. 6, pp. 1438-1448. A.M. Grigoryan, "2-D and 1-D Multi-Paired Transforms: Frequency-Time Type Wavelets," IEEE Transaction on Signal Processing, February 2001, vol. 49, no. 2, pp. 344-353. Contact Information: Department of Electrical Engineering University of Texas at San Antonio Phone: 210-458-7518 Fax: 210-458-5947 Artyom.Grigoryan@utsa.edu
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