REFEREED ARTICLES

1. Sequential adaptive compressed sampling via Huffman codes, arXiv:0810.4916.

2. Nonlinear Least squares in $R^n$, (with K Zaringhalam, submitted.

3. Invariance of a Shift-Invariant Space, (with C. Cabrelli, C. Heil, K. Kornelson, and U. Molter,), arXiv 0804:1597.

4. Interpolation artifact in sub-pixel Image registration, (with Gustavo Rohde, and Denis Healy), IEEE Transactions on Image Processing, in press.

5. Optimal Non-Linear Models for Sparsity and Sampling, (with C.A. Cabrelli, and U.M. Molter) arxiv:0707.2008, in press, JFAA.

6. On Stability of Sampling-Reconstruction Models, (with E. Acosta and I. Krishtal)), Adv. Com Math., Special issue on Image Processing, in press (arxiv:0705.4309)

7. Slanted Matrices, Banach frames, and Sampling, Journal of Functional Analysis, Journal of Functional Analysis, Vol 255, pp. 1667—1691, 2008.

8. A. Aldroubi, C. Leonetti, and Q. Sun, \emph{ Error Analysis of Frame Reconstruction from Noisy Samples}, IEEE Transaction Signal Processing,vol. 56, 2311—2325, 2008.

9. Non-uniform sampling and reconstruction from sampling sets with unkown jitter, with Casey Leonetti, STSIP, vol. 7 187-196, 2008.

10. An image-processing toolset for diffusion tensor tractography (With A. Anderson, A.S. Choe, J. Gore, Y.G. Lu, A. Mishra, Magnetic Resonance Imaging, Vo. 25 pp. 365--376, 2007.

11. Optimal Shift invariant spaces and their Parseval frame generators, with C. Cabrelli, U. Molter, and D. Hardin), Comp. Harm. Anal, 273--283, 2007.

12.  Improved fiber tractography with Bayesian tensor regularization (With Yonggang Lu, John C. Gore, Adam W. Anderson and Zhaohua Ding ), NeuroImage, 1061-1074, 2006.

13. Robustness of sampling and reconstruction and Beurling-Landau-type theorems for Shift-Invariant spaces, (with Ilya Krishtal), Special issue on Computatinal Harmonic Analysis, Appl. Comp. Harm. Anal., vol. 20, pp. 256-260, 2006.

14. Convolution, average sampling, and a Calderon resolution of the identity for shift-invariant spaces (with Q. Sun, and W-S Tang), pp.216—244, 2005, J. Fourier Anal. Appl.

15. Learning the right model from the data, With Carlos, Cabrelli, and Ursula Molter), accepted.

16. Geometric aspects of frame representations of Abelian groups (with D. Larson, W-S.Tang and E. Weber), Trans. Amer. Math. Soc., pp. 4767-4786, 2004.

17. Wavelets on Irregular Grids with Arbitrary, Dilation Matrices, and Frame Atoms for $L^2(\R^d)$, Appl. Comput. Harmon. Anal., Special Issue on frames, pp. 119—140, 2004.

18. How to Construct wavelet frames on irregular grids and arbitrary dilations in $\R^d$, AMS Contemporary Mathematics, 1—9, 2004.

19. Reconstruction from non-uniform weighted average samples in multiply generated shift-invariant subspaces of $L^p(R^d)$, (with Q. Sun, and WS Tang) Constructive Approximation, pp 173—189, 2004.

20. Localization of Calderon convolution in Fourier domain (with Q. Sun, and W.-S. Tang), 25--35, Proceedings of Advances in Constructive approximation, M. Neamtu, and E.B. Saff Eds., Nashboro Press, Brentwood, 2003.

21. The adapted bases algorithm for intensity based nonrigid image registration, (with G. Rohde and B. Dawant), IEEE Transaction on Medical Imaging, pp. 1470—1479, 2003.

22. Non-uniform weighted average sampling and exact reconstruction in shift-invariant and wavelet spaces, Appl. Comp. Harmonic. Anal., vol. 13, pp. 151-161, 2002.

23. Exact reconstruction from non-uniformly distributed weighted averages (with H. Feichtinger) , Wavelet Analysis, Proc. Of the International Conference of Computational Harmonic Analysis, Ding-Xuan Zhou, Ed., pp. 1-8, World Scientific Publisher, Hong Kong, 2002.

24. Locally finitely dimensional shift-invariant spaces (with Q. Sun), pp. 1-13, Proc. Amer. Math. Soc., vol. 130, pp. 2641—2654,2002.

25. A Continuous tensor field approximation of discrete DT-MRI data for extracting microstructural and architectural features of tissues (with P. Basser and S. Pacevic), JMR, 154:85-100, 2002.

26. Non-uniform sampling in multiply generated shift-invariant subspaces of $\Lp(\rd)$ (with Q. Sun and W.S. Tang), AMS/IP Studies in Advanced Mathematics, Vol. 25, pp.1-8, 2002.

27. Non-uniform sampling and reconstruction in shift-invariant and wavelet spaces with applications to signal and image processing, Special issue, Journal Marocain d'Automatique, d'Informatique et de Traitement de signal, vol. 3, issue 2, 2001.

28. Non-uniform sampling in shift-invariant spaces (with K. Grochenig), pp. 1- 43, SIAM Rev., vol. 43, pp. 585—620, 2001.

29. p-frames and shift-invariant subspaces of Lp (with, Q. Sun and W.-S. Tang), Journal of Fourier Analysis and Applications, vol. 7, 1—21, 2001.

30. In vivo fiber tractography using DT-MRI data ( With P. Basser, J. Duda, S. Pajevic,and C. Pierpaoli,), Magnetic Resonance in Medicine, vol. 44, pp. 626-632, 2000.

31. Beurling-Landau-type theorems for non-uniform sampling in shift invariant spline spaces (with C. Grochenig), Journal of Fourier Analysis and Applications, vol. 6, no 1, pp. 91-101, 2000.

32. Reconstruction of vector and tensor fields from sampled discrete data (with Peter Basser), in The Functional and Harmonic analysis of wavelets, D. Larson and L. Baggettt eds., Contemporary Mathematics of the Amer. Math. Soc., vol. 247, pp. 1-15, 1999.

33. Segmentation of gatedTl-201-SPECT images and computation of ejection fraction: A different Approach (with P. Brigger, S. L. Bacharach, G. Srinivasan, K. A. Nour, J. Carson, V. Dilsizian, and M. Unser), Journal of Nuclear Cardiology, Vol. 6, no. 3, pp. 286-297, 1999.

34. Projection based initilization for multiwavelet transform (with M. Vrehl), IEEE Trans. Signal Processing, Vol. 46, no. 7, pp. 3088-3092, 1998.

35. Exact iterative reconstruction algorithm for multivariate irregularly sampled functions in spline-like spaces: The Lp-theory (with H. Feichtinger), Proceedings of the Amer. Math. Soc., Vol. 126, no. 9, pp. 2677-2686, 1998.

36. Shift-orthogonal wavelet bases (P. Thevenaz and M. Unser) IEEE Trans. Signal Processing, Vol. 46, no. 7, pp. 1827-1836, 1998.

37. Construction of biorthogonal wavelets starting from any two multiresolutions, IEEE Transactions on Signal Processing, special issue on Theory and applications of filter banks and wavelet transforms, Special issue on Wavelets and Filter banks, Vol. 46, 1130-1133, 1998.

38. Characterization and parameterization of multiwavelet bases (with M. Papadakis), in Wavelets, Multiwavelets, and their Applications, A. Aldroubi and E. Lin, eds., Contemporary Mathematics of the Amer. Math. Soc., 97-116, 1998.

39. Oblique and hierarchical multiwavelet bases, Journal of Appl. and Comput. Harmonic Analysis, Vol. 4, 231-263,1997.

40. Oblique projections in atomic spaces, Proceedings of the Amer. Math. Soc., vol 124, pp. 2051-2060, 1996.

41. Review of wavelets in biomedical engineering (with M. Unser) Proceedings of the IEEE, Special issue on wavelets, vol. 84, 626-638, 1996.

42. Shift-orthogonal wavelets (with P. Thevenaz and M. Unser) Signal Processing Letters, vol. 3, pp. 85-88, 1996.

43. Portraits of frames, Proceedings of the Amer. Math. Soc., vol. 123, pp. 1661-1668, 1995.

44. Designing Multiresolution Analysis-type wavelets and their fast algorithms (with P. Abry), Journal of Fourier Analysis and Application, vol. 2, pp 136-159, 1995.

45. Enlargement or reduction of digital images with minimum loss of information (with M. Eden and M. Unser) IEEE Trans. Image Processing, vol. 4, pp. 247-258, 1995.

46. Determination of optimally resolving gel concentration and migration time (path) in gel electrophoresis (with A. Chrambach H.T. Chang and S.F. Zakharov) Analytical Biochemistry, vol. 231, pp. 432--436, 1995.

47. A computer program for predicting recovery of SDS-protein in the automated HPGE-1000 apparatus (with A. Chrambach and S.F. Zakharov) Appl. Theor. Electrophoresis, vol. 5, pp. 31-34, 1995.

48. Discrete spline filters for multiresolutions and Wavelets of l2 (with M. Eden and M. Unser), SIAM Math. Anal.,vol. 25, pp. 1412-1432, 1994.

49. Sampling procedures in function spaces and asymptotic equivalence with Shannon's sampling theory (with M. Unser), Numer. Funct. Anal. Optimiz., vol. 15, pp. 1-21, 1994.

50. Determination of fractional absorption of Dietary Calcium in Humans (with S.A. Abrams, J. Marini, J. Sidbury, N.E. Vieira, and A. Yergey), Nutrient Metabolism, pp. 674-682, 1994.

51. A general sampling theory for non-ideal acquisition devices (with M. Unser), IEEE Trans. on Signal Processing, vol. 42 , pp. 295-2925, 1994.

52. Fast implementation of the continuous wavelet transform with integer scales (with S. J. Schiff and M. Unser), IEEE Trans. on Signal Processing, vol. 42, pp. 3519-3523, 1994.

53. Families of multiresolution and wavelet spaces with optimal properties (with M. Unser), Numer. Funct. Anal. Optimiz., vol. 14, pp. 417-446, 1993.

54. The relative efficiency of molecular sieving in solutions of four polymers (with A. Chrambach), Electrophoresis, vol. 14, pp. 18-22, 1993.

55. A family of polynomial spline wavelet transforms (with M. Eden and M. Unser), Signal Processing, vol. 30, pp. 141-162, 1993.

56. B-spline signal processing. Part II: efficient design and applications (with M. Eden and M. Unser), IEEE Trans. Signal Processing, vol. 41, pp. 834-848, 1993.

57. B-spline signal processing. Part I: theory (with M. Eden and M. Unser), IEEE Trans. Signal Processing, vol. 41, pp. 821-834, 1993.

58. The L2 polynomial spline pyramid (with M. Eden and M. Unser), IEEE Trans. Pattern Anal. Mach. Intell., vol. 15, pp. 364-379, 1993.

59. On the asymptotic convergence of B-spline wavelets to Gabor functions (with M. Eden and M. Unser) IEEE Trans. Information Theory, vol. 30, pp. 864-872, 1992.

60. Advances in DNA electrophoresis in polymer solutions (with A. Chrambach, M. Garner, T. Guszczynski, H. Pulyaeva and D. Tietz), Electrophoresis, vol. 13, pp. 614-616, 1992.

61. Minimal electrophoresis time for DNA sequencing (with M. Garner), BioTechniques, vol. 13, pp. 620-624, 1992.

62. Magnification mismatches between micrographs: corrective procedures and implications for structural analysis (with F.P. Booy, A.C. Steve, B.L. Trus and M. Unser) Ultramicroscopy, vol. 46, pp. 175-188, 1992.

63. Cardinal B-spline filters: stability and convergence to the ideal lowpass filter (with M. Eden and M. Unser), Signal processing, vol. 28, pp 1-12, 1992.

64. Polynomial spline signal approximations: filter design and asymptotic equivalence with Shannon's sampling theorem (with M. Eden and M. Unser), IEEE Trans. Information Theory, vol. 38, pp. 95-103, 1991.

65. Fast B-spline transforms for continuous image representation and interpolation (with M. Eden and M. Unser), IEEE Trans. Pattern Anal. Machine Intell., vol. 13, pp. 277-285, 1991.

66. Recursive regularization filters: design, properties and applications (with M. Eden and M. Unser), IEEE Trans. Pattern Anal. Mach. Intell., vol. 13, pp 272-277, 1991.

67. The distribution of particles characterized by size and free mobility within polydisperse populations of protein-polysacharide conjugates, determined from two dimensional agarose electrophoregrams (with A. Chrambach, R. Schneerson, D. Tietz and M. Unser), Electrophoresis, vol. 12, pp. 46-54, 1991.

68. Computerized methods for analyzing two-dimensional agarose gel electropherograms (with A. Chrambach, D. Tietz, B. Trus and M. Unser), Electrophoresis, vol. 12, pp. 39-46, 1991.

69. On the uniqueness of quasi-static solutions of some linear models of the left ventricular mechanics (with R.S. Chadwick), Math. Biosc., vol. 99, pp. 195-203, 1990.

70. On the existence, regularity and large time behavior of a two-dimensional parabolic-elliptic eddy current problem, Quart. Appl. Math., vol. 48, pp. 371-385, 1990.

71. Energy methods for a parabolic hyperbolic interface problem arising in electromagnetism (with M. Renardy), J Appl. Math. Phys., vol. 39, pp. 931-937, 1988.


BOOKS

72. Wavelets: Applications in Signal and Image Processing IX.. M. Unser , A. Aldroubi, and A. eds., SPIE, Belligham Washington, 2003.

73. Wavelets: Applications in Signal and Image Processing X.. A. Laine, M. Unser, and A. Aldroubi, eds., SPIE, Belligham Washington, 2001.

74. Wavelet, Multiwavelets and their Applications. A. Aldroubi and E.B. Lin eds, Contemporary Mathematics series of the American Mathematical Society, Providence, RI, 1997.

75. Wavelet Applications in Signal and Image Processing V, A. Aldroubi, A. Laine, and M. Unser eds., SPIE, Belligham Washington, 1997.

76. Wavelets in Medicine and Biology, A. Aldroubi and M. Unser eds., CRC Press, Boca Raton, 1996.


BOOK CHAPTERS

77. An Image Processing Toolset for Diffusion Tensor Tractography (with Arabinda Mishra1, Yonggang Lu1, Ann S. Choe1, 2, John C. Gore1, Adam W. Anderson1, 2, and Zhaohua Ding), In press.

78. Pajevic S, Aldroubi A and Basser PJ, ``Continuous Tensor Field Approximation of Diffusion Tensor MRI Data'', Visualization and Processing of Tensor Fields, editors, J. Weickert and H. Haken, Springer-Verlag, (in press, 2005).

79. Oblique Multiwavelt Bases, in Wavelet Theory and Harmonic Analysis in Applied Sciences, C.E. D'Attellis and E.M. Fernandez-Berdaguer eds, Birkhauer, Boston, pp. 73--91, 1997.

80. The Wavelet Transform: A Surfing Guide, in Wavelets in Medicine and Biology and Medicine, A. Aldroubi and M. Unser, eds., Boca Raton: CRC Press, pp. 3-36,1996.

81. Optimal sampling for the determination of calcium metabolism (with P. Basser and N. Vieira) in Kinetic models of trace elements and mineral metabolism: theory and development, K.N.S. Subramanian and M.E. Wastney, eds., Orlando, Florida: CRS, pp. 347-354, 1995.

82. Families of Wavelet Transforms in Connection with Shannon's Sampling Theory and the Gabor Transform (with M. Unser) in Wavelets- A Tutorial in Theory and Applications, C.K. Chui, ed., Orlando, FL: Academic Press, vol. 2, pp. 509-528, 1992.

83. Polynomial Splines and Wavelets- A Signal Processing Perspective (with M. Unser) in Wavelets- A Tutorial in Theory and Applications, C.K. Chui, ed., Orlando, FL: Academic Press, vol. 2, pp. 91-122, 1992.


PUBLISHED CONFERENCE PAPERS

84. On Slanted matrices in Frame Theory, (with I. Krishtal, and A. Baskakov), In Wavelet XII, Proc. of SPIE, V. Van de Ville, V. Goyal, and M. Papadakis eds, Vol. 6701-0Q, 1--9, 2007.

85. Localized frames and localized operators, (with F. Futamura), In Wavelet XII, Proc. of SPIE, V. Van de Ville, V. Goyal, and M. Papadakis eds, Vol. 6701-0R, 1--6, 2007.

86. Sampling and reconstruction for biomedical image registration, (with G.K. Rohde, D.M. Healy), Asilomar conference on signals, systems, and computers, Monterey, CA, 2007. In press.

87. Interpolation artifacts in biomedical image registration, (with G.K. Rohde, D.M. Healy, Jr., C.A. Berenstein), Proceedings of the IEEE Int. Simp. on Biomedical Imaging, 648--651, 2007.

88. Stochastic analysis of geometric image processing using B-splines, (with G.K. Rohde, D.M. Healy, Jr., C.A. Berenstein, and D.Rockmore), Proceedings of IEEE ICASSP, pp. 1017-1020, 2006.

89. Measuring image similarity to sub-pixel accuracy, (with G.K. Rohde, D.M. Healy, Jr., C.A. Berenstein), Proceedings of the IEEE Int. Simp. on Biomedical Imaging, pp. 638-641, 2006.

90. S. Pajevic, G.K. Rohde, P.J. Basser, A. Aldroubi, Non-homogeneous WaveletDenoising. ISMRM, May 2004, Kyoto, Japan. Pp 2223.

91. Determining sets for shift Invariant spaces (with C. Cabrelli, D. Hardin, A. Rodado, U. Molter), Proc. Internatinal Conferenceon Wavelet Theory, India Madras, 2002, in press.

92. S. Pajevic, P.J. Basser, G.K. Rohde, C. Pierpaoli, D.K. Jones, A. Aldroubi.Multiscale Approaches for Diffusion Tensor MRI. ISMRM 2002, Hawaii, USA. Pp. 1176.

93. The Adaptive Bases Algorithm for Nonrigid Image Registration, With B. Dawant and G. Rohde), Proc. SPIE Vol. 4684, p. 933-944. Medical Imaging 2002:Image Processing. Milan Sonka; Kenneth M. Hanson; Eds.

94. Adaptive Free-form Deformation for inter-patient medical image registration, (with B. Dawant and G. Rohde), proc. SPIE—Medical Imaging, vol. 4322, pp 1578-1587, 2001.

95. Multiscale Nonrigid Data Registration using adaptive bases functions (with T. Dinsenbacher, B, Dawant, D. Hardin and G. Rohde), Proc. SPIE--Wavelet Applications to Signal and Image processing VIII, vol. 4199, pp. 1076-1083, 2000.

96. Connection between p-frames and p-Riesz bases in locally finite SIS of L^p(R) with (Q. Sun, W.S. Tang), Proc. SPIE--Wavelet Applications to Signal and Image processing VIII, vol. 4199, pp. 668-673, 2000.

97. Wavelet denoising of epicardial fluorescence imaging(with S.F. Lin, G. Rohde." In Proc. SPIE-Mathematical Imaging: Wavelet Applications in Signal and Image Processing, A. Laine M. Unser and A. Aldroubi eds., vol. 3458, pp. 267-273, 1999.

98. S. Lin, G.K. Rohde, A. Aldroubi. Wavelet denoising of epicardial fluorescenceimaging. Proc. SPIE Vol. 3458, p. 267-273, Wavelet Applications in Signal and Imaging Processing VI 1998, Andrew F. Laine; Michael A. Unser; AkramAldroubi; Eds.

99. Projection based pre-filtering for initializing multi-wavelet transforms, (with M. Vrhel). In Proc. SPIE-Mathematical Imaging: Wavelet Applications in Signal and Image Processing, A. Aldroubi A. Laine and M. Unser eds., vol. 3169, pp. 432-437, 1997.

100. Oblique multiwavelets: examples. In Proc. SPIE-Mathematical Imaging: Wavelet Applications in Signal and Image Processing, M. Unser A. Aldroubi and A. Laine eds., vol. 2825, pp. 54-64, 1996.

101. Construction of shift orthogonal wavelets using splines (with P. Thevenaz and M. Unser). In Proc. SPIE-Mathematical Imaging: Wavelet Applications in Signal and Image Processing, M. Unser A. Aldroubi and A. Laine eds., vol. 2825, pp. 465--473, 1996.

102. Semi- and Bi- Orthogonal MRA-type Wavelet Design and their Fast Algorithms (with P. Abry). In Proc. SPIE-Mathematical Imaging: Wavelet Applications in Signal and Image Processing, A. Laine and M. Unser eds., vol. 2569, pp. 452-463, 1995.

103. Oblique and Biorthogonal Multi-Wavelet Bases with Fast-Filtering Algorithms (with J. McGowan). In Proc. SPIE-Mathematical Imaging: Wavelet Applications in Signal and Image Processing, A. Laine and M. Unser eds., vol. 2569, pp. 15-25, 1995.

104. Extrapolation in Multiresolutions (with H. Woerdeman). In Proc. SPIE-Mathematical Imaging: Wavelet Applications in Signal and Image Processing, A. Laine and M. Unser eds.,vol. 2303 (1994), pp. 120-128, 1994.

105. Oblique projections in discrete signal subspaces of l2 and the wavelet transform (with M Unser). In Proc. SPIE-Mathematical Imaging: Wavelet Applications in Signal and Image Processing, A. Laine and M. Unser eds., vol. 2303, pp. 36-46, 1994.

106. Fast algorithms for running wavelet analyses (with M. Unser). In Proc. SPIE-Mathematical Imaging: Wavelet Applications in Signal and Image Processing, A. Laine and M. Unser eds., vol. 2303, pp. 308-319, 1994.

107. Spline multiresolutions and wavelets for discrete signals with application to image compression (with M. Eden and M. Unser). In Proc. Picture Coding Symposium, vol. 1, pp. 18.25: 1-2, 1993.

108. Generalized sampling theory and application to multiresolutions and wavelets of L2 (with M. Unser). In Proc. SPIE-Mathematical Imaging: Wavelet Applications in Signal and Image Processing, A. Laine ed., vol. 2034, pp. 24-32, 1993.

109. A multiresolution image registration procedure using spline pyramids (with C. Gerfen, and M. Unser). In Proc. SPIE Mathematical Imaging: Wavelet Applications in Signal and Image Processing, A. Laine ed., vol. 2034, pp. 160-170, 1993.

110. Portraits of frames: overcomplete representations with applications to image processing. In Proc. SPIE-Mathematical Imaging: Wavelet Applications in Signal and Image Processing, In A. Laine ed., vol. 2034, pp. 322-329, 1993.

111. Polynomial spline signal processing (with M. Unser). In Proc. International Conference on Acoustics, Speech, and Signal Processing, San Francisco 92, vol. 3, pp. 177-180, 1992.

112. A Sampling theory for polynomial splines (with M. Eden and M. Unser). In Proc. International Conference on Information Theory and its Applications, Waikiki, Hawaii, vol. 1, pp. 279-282, 1990.

113. Asymptotic properties of least square spline filters and application to multi-scale decomposition of signals (with M. Eden and M. Unser). In Proc. International Conference on Information Theory and its Applications, Waikiki, Hawaii, vol. 1, pp. 271-274, 1990.