Selected List of Recent Publications and Preprints

 

1)           Hermite Distributed Approximating Functionals as Almost-Periodic Ideal Filters, joint with B.G. Bodmann, D.K. Hoffman, and D.J. Kouri, J. Sampling Theory in Image and Signal Processing, Vol. 7(1), pp. 15-38, 2008.      Download paper

 

2)           Texture-based Characterization of High Resolution CT-scans of Coronary Arteries, joint with B. G. Bodmann, S.K. Alexander, D. Vela MD, S. Baid, A.A. Gittens, D. J. Kouri, S.D. Gertz MD, , S. Jain, J.R. Romero, X. Li, P. Cherukuri, D.D. Cody, G.W. Gladish MD, I. Aboshady MD, J.L. Conyers, and S.W. Casscells, To appear in Communications in Numerical Methods in Engineering, 2008. Download
 

3)           Explicit Schemes in Seismic Migration and Isotropic Multiscale Representations, joint with S. Jain and E. Dussaud, to appear in Contemporary Mathematics, "Radon transforms, geometry, and wavelets", E. Grinberg, D. Larson, P.E.T. Jorgensen, P. Massopust, G. Olafsson, E.T. Quinto, and B. Rubin (Eds.) 2008.       Download pdf

 

4)           The Geometry and the Analytic properties of Isotropic Multiresolution Analysis, joint with J. Romero, S. Alexander, S. Baid and S. Jain, submitted 2008.        Download pdf

 

5)           Three-dimensional Isotropic Wavelets for Post-acquisitional Extraction of Latent Images of Atherosclerotic Plaque Components from Micro-computed Tomography of Human Coronary Arteries, joint with S.D. Gertz, B.G. Bodmann, D. Vela, I. Aboshady, P. Cherukuri, S.K. Alexander, D.J. Kouri, S. Baid, A.A. Gittens, G.W. Gladish, J.L. Conyers, D.D. Cody, L. Gavish, R.M. Mazraeshahi, , W.T. Wilner, L. Frazier, M. Madjid, A. Zarrabi, S. Lukovenkov, A. Ahmed, J. T. Willerson, S. W. Casscells, Academic Radiology 14: 1509-1519, 2007.

 

6)           Isotropic Multiresolution Analysis for 3D-Textures and Applications in Cardiovascular Imaging,  in Wavelets XII, SPIE Proceedings Vol. 6701, 2007.  Joint with  Simon K. Alexander, Robert Azencott.   Download

 

7)           Analog to Digital, Revisited: Controlling the Accuracy of Reconstruction, Sampling Theory in Image and Signal Processing, Vol. 5(3), pp. 321-340, 2006.  Joint with  B.G. Bodmann, A. Melas, and, Th. Stavropoulos.  Download pdf

 

8)           An Inhomogeneous uncertainty principle for digital low pass filters, Joint with  B.G. Bodmann, and Q. Sun, J. Fourier Analysis and Applications, Vol. 12(2), pp. 181-212, 2006.   Download pdf

 

9)           Usefulness of Multi-detector Computed Tomography for Non-Invasive Evaluation of Coronary Arteries in Asymptomatic Patients, Joint with S. David Gertz, Paul Cherukuri, Bernhard G. Bodmann, Gregory Gladdish, Wayne T. Wilner, PhD, Jodie L. Conyers, Ibrahim Aboshady, MD, Mohammad Madjid, Deborah Vela, Serhiy Lukovenkov,  Donald Kouri, Reza Mohammadi Mazraeshahi, Lorraine Frazier, Donald Elrod, James T. Willerson, S. Ward Casscells, American Journal of Cardiology, Vol. 97,  pp. 287-293, 2006.

 

10)      Image denoising using a tight frame, IEEE Trans. of Image Processing,  joint with L. Shen, I. Kakadiaris, D. J. Kouri,  D.K. Hoffman, Vol. 15(5), pp. 1254-1263, 2005.   

 

11)      Frame Isotropic Multiresolution Analysis for Micro CT Scans of Coronary Arteries, SPIE Proceedings, Wavelets XI, Volume 5914, 2005; M. Papadakis, A. Laine, M. Unser (Eds.). Co-authors listed in the paper.       Download pdf

 

12)      Orthonormal Wavelets Arising from HDAFs, joint with J. Yang, L. Shen, D.K. Hoffman, I.A.  Kakadiaris, D.J. Kouri, Contemporary Mathematics, special issue on “Wavelets, Frames and Operator theory”, C. Heil, P. Jorgensen, D.R. Larson (Eds.), vol. 345 pp. 242-254, 2004.          Download

 

13)      Non-Separable Radial Frame Multiresolution Analysis in Multidimensions and Isotropic Wavelet Algorithms, joint with G. Gogoshin, D.K. Hoffman, I.A. Kakadiaris, D.J. Kouri, SPIE Proceedings, “Wavelets X” Aldroubi, A. Laine, M. Unser (Eds.), 2003.       Download  

 

14)      Non-Separable Radial Frame Multiresolution Analysis in Multidimensions, joint with G. Gogoshin, D.K. Hoffman, I.A. Kakadiaris, D.J. Kouri, Numerical Funct. Anal. Optim. Vol. 24, pp. 907-928, 2003.      Download paper    

 

15)      On the Smoothness of Orthonormal Wavelets Arising from  HDAFs, Applied Computational and Harmonic Analysis, Joint with, L. Shen, J. Yang, I. Kakadiaris,  D. J. Kouri, D. K Hoffman, Vol. 15, pp. 242-254, 2003.     

 

16)      Generalized Frame Multiresolution Analysis of Abstract Hilbert Spaces, in “Sampling, Wavelets and Tomography”, J.J. Benedetto and A. Zayed (Eds.), Brikhauser, 2003. Download       

 

17)      Frames of Translates in Abstract Hilbert Spaces and the Generalized Frame Multiresolution Analysis  Trends in Approximation Theory, K. Kopotun, T. Lyche, M. Neamtu (Edts.), pp. 353-362, Vanderbilt Univ. Press, Nashville, TN, 2001. Download postscipt  file (uncompressed) (expanded version)      

 

18)      Frames of Translates and Examples of Generalized Frame Multiresolution Analyses, preprint, 2001. SPIE Proc. Vol. 4478, Wavelet Applications in  Signal  and Image Processing  IX, A. Aldroubi, A. Laine, M. Unser (Eds.), 2001.

 

19)      On the Dimension Function of Orthonormal Wavelets. Proc. Amer. Math. Soc.  Vol. 128 pp. 2043-2046, 2000. 

 

20)      The characterization of Low Pass Filters and Some Basic Properties of Wavelets, Scaling Functions and Related Concepts.  Joint  with H. Sikic and G. Weiss, J. Fourier Anal. Applic. Vol. 5, pp. 496-521, 1999.

 

1)           Multiresolution Analysis of Abstract Hilbert Spaces and Wandering Subspaces. Joint  with D. Han, D.R. Larson and Th. Stavropoulos, Cont. Math. vol. 247  pp. 259-284, 1999.