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Publications of R.K.S. Rathore

  1. R.K.S. Rathore, "Linear Combinations of Linear Positive Operators and Generating Relations in Special Functions," Ph.D. Thesis, Department of Mathematics, I.I.T. Delhi, 1973.
  2. R.K.S. Rathore, "Approximation of Unbounded Functions with Linear Positive Operators," D.Sc. Thesis, Technische Hogeschool Delft, Delft University Press, The Netherlands, 1974.
  3. R.K.S. Rathore & H.L. Manocha, "On Equality of Indices," Publications de L’Institut Mathematique, N-s 15(29), 1973, pp. 105-109.
  4. R.K.S. Rathore, "On a sequence of Linear Trigonometric Polynomial Operators," SIAM J. Math. Anal., 5(6), 1974, pp. 908-917.
  5. R.K.S. Rathore, "Lipschitz-Nikolskii Constants of the Gamma Operators of Müller," Math. Z., 141, 1975, pp. 193-198.
  6. R.K.S. Rathore, "(L,p)-Summability of a Multiply Differentiated Fourier Series," Indag.Math., 38(3), 1976, pp. 217-230.
  7. P.C. Sikkema & R.K.S. Rathore, "Convolution with Powers of Bell-Shaped Functions," Report, Department of Mathematics, Technische Hogeschool Delft, March 1976.
  8. R.K.S. Rathore, "A Quadrature based Numerical Method for Zeros of Analytic Functions," Proc. 1st Conf. Numerical Analysis, I.I.Sc., Bangalore, 1977, pp. 1-12.
  9. R.K.S. Rathore, "Lipschitz-Nikolskii Constants and Asymptotic Simultaneous Approximation of the Mn-Operators," Aeq. Math., 18, 1978, pp.206-217.
  10. R.S. Ramakrishna, S.K. Mullick, R.K.S. Rathore & R. Subramanian, "Bernstein filter applicability to the restoration of noisy and degraded Images," Proc. 4th Int. Conf. Pattern Recognition, Kyoto, Japan, Nov. 7-10, 1978, pp. 512-17.
  11. R.K.S. Rathore, "The Structure of Variation Preserving Operators," Journal of the Indian Math. Soc. (JIMS), 43, 1979, pp. 175-186.
  12. R.S. Ramakrishna, S.K. Mullick, R.K.S. Rathore & R. Subramanian, "Orthogonalization, Bernstein Polynomials, and Image Restoration," Applied Optics 18, No. 4, 1979, pp. 464-68.
  13. R.K.S. Rathore & P.N. Agrawal, "The Unsettled Problem of M.G. Krein on Non-Negative Polynomials in T-Systems," SIAM J. Math. Anal., 10(5), 1979, pp. 1092-1094.
  14. R.K.S. Rathore & O.P. Singh, "On Convergence of Derivatives of Post-Widder Operators," Indian J. Pure Appl. Math., 11(5), 1980, pp. 547-561.
  15. R.K.S. Rathore & O.P. Singh, "Determination of Certain Asymptotic Constants Related with the Post-Widder Inversion of Laplace Transform," Acta Mathematica Academiae Scientiarum Hungaricae, 36 (1-2), 1980, pp. 155-160.
  16. R.K.S. Rathore & C.S.K. Chetty, "Some Angularity and Inertia Theorems Related to Normal Matrices," Linear Algebra and its Applications (LAA), 40, 1981, pp. 69-77.
  17. R.K.S. Rathore & O.P. Singh, "Limits of Certain Iterates of Post-Widder Operators," Monatshefte für Mathematik (Mh. Math.) 91, 1981, pp. 131-138.
  18. R.K.S. Rathore & P.N. Agrawal, "Inverse and Saturation Theorems for Derivatives of Exponential Type Operators," Indian J. Pure Appl. Math., 13(4), 1982, pp. 476-490.
  19. S.K. Mullick, A. Sanyal & R.K.S. Rathore, "Reconstructions from Projections Using Residual Projection Method," Report, Department of Electrical Engineering, I.I.T. Kanpur, 1983.
  20. R.S. Ramakrishna, S.K. Mullick & R.K.S. Rathore, "Iterative Image Restoration," IEEE Proc. of the International Conf. on System, Man and Cybernetics, Delhi, 1983, Vol. II, pp. 1088-1091.
  21. R.S. Ramakrishna, S.K. Mullick & R.K.S. Rathore, "A New Iterative Algorithm for Image Restoration," Computer Vision, Graphics, and Image Processing 30, 1985, pp. 47-55.
  22. S.T. Swami, P. Munshi, I.D. Dhariyal & R.K.S. Rathore, "Fan Beam Algorithms for Tomographic Reconstruction of Density Distribution in Two-Phase Flow Systems," Proc. VI National Symposium on Radiation Physics, Kalpakkam, 1986, Paper C-35.
  23. R.K.S. Rathore, I.D. Dhariyal, P. Munshi & M.D. Seshadri, "Tomographic Reconstruction using Radial Polynomials," Transactions of American Nuclear Society, 52, 1986, pp. 407-409.
  24. M.D. Seshadri, P. Munshi, I.D. Dhariyal & R.K.S. Rathore, "Application of Digital Tomography in Two-phase Flow Studies," Nuclear Instruments and Methods in Physics Research, A251, 1986, pp. 577-582.
  25. P. Munshi, R.K.S. Rathore, I.D. Dhariyal & S.T. Swamy, "Tomographic Reconstruction of the Density Distribution using Direct Fan-beam Algorithms," Nuclear Instruments and Methods in Physics Research, A257, 1987, pp. 398-405.
  26. R.K.S. Rathore, P. Munshi, I.D. Dhariyal & S.T. Swamy, "Tomographic Reconstruction of the Density Field using Radial Polynomials," Nuclear Technology, 78(7), 1987, pp. 7-12.
  27. V.K. Bhatia, S. Pandimani, P. Munshi & R.K.S. Rathore, "Simplified Algorithms for CAT Scanners," Bulletin of Radiation Protection, 10(1), 1987, pp. 201-204.
  28. R.K.S. Rathore, P. Munshi, R.K. Jarwal, "Measurement of Void-fraction Distribution using a Tomographic Chord-segment Inversion Technique," Proc. Cavitation and Multi-phase Flow Forum, American Society of Mechanical Engineers, FED, 50, 1987, pp. 164-166.
  29. R.K.S. Rathore, P. Munshi, V.K. Bhatia & S. Pandimani, "Point-density Measurements in Radially Symmetric Flows using Bessel Functions," Transactions of American Nuclear Society, 54, 1987, pp. 176-178.
  30. R.K.S. Rathore, P. Munshi, R.K. Jarwal & I.D. Dhariyal, "Investigation of the Bubbly Air-water Flow using the Chord-segment Inversion Algorithm," Nuclear Technology, 82(2), 1988, pp. 227-234.
  31. R.K.S. Rathore, P. Munshi, P. Arora, S.D. Malik, A.K. Vaish, K.S. Singh & U. Singh, "The Generalized Chord-segment Inversion Algorithm for Tomographic Reconstruction," Proc. Cavitation and Multi-phase Flow Forum, American Society of Mechanical Engineers, FED, 64, 1988, pp. 205-206.
  32. P. Arora, P. Munshi & R.K.S. Rathore, "A New Filter for CAT scanner Algorithms," Proc. XV Conference of Indian Association for Radiation Protection, Hyderabad, Paper IARP/15/16, pp. 8-9.
  33. P. Arora, P. Munshi & R.K.S. Rathore, "Sensitivity Studies of Filter Functions in Tomographic Reconstruction of Two-phase Flow Density Distributions," Transactions of American Nuclear Society, 56, 1988, pp. 261-263.
  34. P. Arora, P. Munshi & R.K.S. Rathore, "Higher order Tomographic Filters for Nondestructive Testing Purposes," Nuclear Technology, 83, 1988, pp. 228-230.
  35. R.K.S. Rathore, P. Munshi, V.K. Bhatia & S. Pandimani, "Filtered Bessel Functions in Computerized tomography," Nuclear Engineering and Design, 108, 1988, pp. 375-384.
  36. R.K.S. Rathore, P. Munshi, P. Arora, S.D. Malik, A.K. Vaish, K.S. Singh & U. Singh, "A New Non-Fourier Tomographic Filter for Image Reconstruction," Nuclear Technology, 85, 1989, pp. 345-349.
  37. P. Arora, P. Munshi & R.K.S. Rathore, "Higher Order Fourier Filters in Medical Imaging," Proc. XVI conference of Indian Association for Radiation Protection, Bombay, 1989, Paper IARP/16/36, pp. 13-14.
  38. R. RASTOGI, P. Munshi, M.S. Kalra, R.K.S. Rathore & I.D. Dhariyal, "Simulation Studies of a Positron Emission Tomography Model," Proc. First Conference of the Indian Nuclear Society, Bombay, 1989, pp. 123-129.
  39. I.D. Dhariyal, Neeraj Misra & R.K.S. Rathore, "Selecting the Better of Two Binomial Populations: Optimal Decision Rules," Calcutta Statistics Association Bulletin, Vol. 38, 1989, pp. 157-167.
  40. P. Munshi, M.S. Kalra, K.S. Ram & R.K.S. Rathore, "Non-destructive Testing by Tomographic Techniques," Advances in Mechanical Engineering, (ed.) R.S. AGarwal, Tata McGraw-Hill, New Delhi, 1990, pp. 251-258.
  41. P. Munshi & R.K.S. Rathore, "Some New Tomographic Methods for Radially Symmetric Multi-phase flow Situations," Advances in Mechanical Engineering, (ed.) R.S. AGarwal, Tata McGraw Hill, New Delhi, 1990, pp. 717-725.
  42. R.K.S. Rathore, I.D. Dhariyal & P. Munshi, "Generalization of a Result on Lipschitz Classes," Proc. Nat. Acad. Sci. India, 60(A), II, 1990, pp. 153-158.
  43. P. Munshi, K. SRI RAM & R.K.S. Rathore, "Convolution Algorithm for Computerized Tomography," Computer Systems and Applications: Recent Trends, (ed.) E. BALAGURUSAMY, Tata McGraw-Hill, New Delhi, 1990, pp. 349-58.
  44. P. Munshi, R.K.S. Rathore, K.S. Ram & M.S. Kalra, "Error estimates for tomographic inversion," Inverse Problems, Vol. 7, Number 3, 1991, pp. 399-408.
  45. Tanuja Srivastava, R.K.S. Rathore & I.D. Dhariyal, "Direct Estimates of the Statistical Error for Convolution Backprojection Algorithm in Computerized Tomography," Journal of Combinatorics, Information and System Sciences, Vol. 17, Nos. 3-4, 1992, pp. 271-287.
  46. R.K.S. Rathore, P. Munshi, K.S. Ram & M.S. Kalra, "A numerical Investigation of Tomographic Filters," Paper presented at: American Nuclear Society Summer Meeting, June 21, 1993, in San Diego, California.
  47. P. Munshi, R.K.S. Rathore, K.S. Ram & M.S. Kalra, "A numerical Investigation of Tomographic filters," Transactions of American Nuclear Society, 68, 1993, pp. 201-203.
  48. P. Munshi, R.K.S. Rathore, K.S. Ram & M.S. Kalra, "Error Analysis of Tomographic Filters II: Results," NDT & E International, Vol. 26, Number 5, 1993, pp. 235-240.
  49. R.K.S. Rathore, "Total Error in the Discrete Convolution Backprojection Algorithm in Computerized Tomography," Journal of Computational and Applied Mathematics (JCAM), Elsevier press, Vol. 54, 1994, pp. 79-97.
  50. R.K.S. Rathore, "The Problem of Timan on the Precise Order of Decrease of the Best Approximations," Journal of Approximation Theory (JAT), Academic Press, New York and London, Vol. 77, No. 2, May 1994, pp. 153-166.
  51. R.K.S. Rathore, "Optimal Inputs for Approximate Linear Systems in Hilbert Spaces," Journal of Mathematical Analysis and Applications (JMAA), Academic Press, New York and London, Vol. 188, No. 2, December 1994, pp. 398-409.
  52. P. Munshi, R.K.S. Rathore & S. VIJAY, "A Numerical Study of an Inverse Theorem for Computerized Tomography," European Journal of NDT, Vol. 3, No. 3, January 1994, pp. 104-110.
  53. I.D. Dhariyal, R.K.S. Rathore, Tanuja Srivastava, P. Munshi & Richa Rastogi, "Design of Optimal Statistical Filter for the Discrete Convolution Backprojection Method," American Journal of Mathematical and Management Sciences, Vol. 14, Nos. 3-4, 1994, pp. 229-265.
  54. R.K.S. Rathore, "A New Super-Resolving O-p×q×ln(q) (×) and O-p×q×q (+) Algorithm in Computerized Tomography: Comparison with the CBP-Algorithm." (preprint)
  55. Mahesh, R.K. Gupta, S. Balasrinivasa Rao, V.S.N. Kaliprasad, R. Kalyanraman, P.V.K. Reddy & R.K.S. Rathore, "A Study of Resolution using Classical Filters in MRI," [030], Workshop on Applications of NMR in Petroleum and Petrochemical Industries & 5th National Symposium on Magnetic Resonance, February 23-26, 1999. (Organized by National Magnetic Society, India & Indian Institute of Petroleum, Dehradun –248 005 (India)
  56. R. Kalyanraman, R.K. Gupta, Mahesh, S.B. Rao, V.S.N. Kaliprasad, P.V.K. Reddy & R.K.S. Rathore, "Storage of Raw Data in Magnetic Resonance Imaging," [P30], 5th National Symposium on Magnetic Resonance IIP Dehradun, India, February, 1999.
  57. S.B. Rao, R.K. Gupta, V.S.N. Kaliprasad, Mahesh, R. Kalyanraman, P.V.K. Reddy & R.K.S. Rathore, "Tissue Parameter Estimation in MR Imaging," [P31], 5th National Symposium on Magnetic Resonance IIP Dehradun, India, February, 1999.
  58. V.S.N. Kaliprasad, R.K. Gupta, S.B. Rao, R. Kalyanraman, Mahesh, P.V.K. Reddy & R.K.S. Rathore, "Deblurring of MRI Images," [P32], 5th National Symposium on Magnetic Resonance IIP Dehradun, India, February, 1999.
  59. R. Kalyanraman, R.K. Gupta, Mahesh, S.B. Rao, V.S.N. Kaliprasad, P.V.K. Reddy, and R.K.S. Rathore, A New Compression Strategy for Magnetic Resonance Images, Proc. Scientific Meeting of ISMRM at Philadelphia, USA, May, 1999.
  60. Mahesh, R.K. Gupta, R. Kalyanraman, S.B. Rao, V.S.N. Kaliprasad, P.V.K. Reddy, and R.K.S. Rathore, Truncation of Artifact reduction in MRI with a New Class of Filters, Proc. Scientific Meeting of ISMRM at Philadelphia, USA, May, 1999.
  61. R.K.S. Rathore, "A Generalized Frame-work for Inverse and Equivalence Results in Approximation Theory," pp. 20-36, Mathematical Analysis and
    Applications (ed. A.P. Dwivedi), Narosa Publishing House, New Delhi, 2000.
  62. SB Rao, RK Gupta, VSN Kaliprasad, Sushmita Datta, RKS Rathore, A Robust Method for Tissue Parameters Estimation in MR Imaging, National Symposium on Magnetic Resonance and Biomolecular Structure and Function, TIFR India, January 17-20, 2000.
  63. R.K.S. Rathore, R.K. Gupta, V.S.K. Kaliprasad, S.B. Rao, Sushmita Datta, Iterative Sharpening of the Resolution in Magnetic Resonance Imaging, Proc. Scientific Meeting of ISMRM at Colorado, USA, April, 2000.
  64. R.K.S. Rathore, V.S.N. Kali Prasad, S.B. Rao and S. Datta and R.K. Gupta, "Iterative resolution sharpening in MRI: A new technique," appeared as a white paper at the Radiology Web-site http://www.auntminnie.com and the news announced in Radiology News, October 15, 2000. WHITE PAPER
  65. Sushmita Datta, RK Gupta, SB Rao, VSN Kaliprasad, RKS Rathore, Segmentation of Lesions in MRI using Cubic Splines, National Symposium on Magnetic Resonance and Biomolecular Structure and Function, TIFR India, January 17-20, 2000.
  66. Sushmita Datta, S.B. Rao, R.K.S. Rathore, R.K. Gupta, Rajesh Verma, A Segmentation Method Based on Maximum Likelihood Estimation for Quantitation in MR Images, Symposium on Spatially Resolved Magnetic Resonance & 7th NMRS Symposium, Chennai, February 7-10, 2001.
  67. S.B. Rao, Sushmita Datta, R.K.S. Rathore, R.K. Gupta, Rajesh Verma, A Numerical Study of Errors in Tissue Parameter Estimation, Symposium on Spatially Resolved Magnetic Resonance & 7th NMRS Symposium, Chennai, February 7-10, 2001.
  68. Sanjeev Chawla, Rakesh K. Gupta, Sajja B. Rao, Lily Pal, Rajesh Kumar, Ram Kishore Rathore, Corrected Gradient Echo Phase Imaging: Differentiation of Calcification from Chronic Hemorrhage, Symposium on Spatially Resolved Magnetic Resonance & 7th NMRS Symposium, Chennai, February 7-10, 2001.
  69. R.K.S. Rathore, Sushmita Datta, R.K. Gupta, S.B. Rao, Rajesh Verma, An MLE Based Segmentation Method for Quantitation in MR Images, Accepted for poster presentation in 8th Scientific Meeting of ISMRM, Glasgow, April, 2001.
  70. Rajesh Kumar, Rakesh K Gupta, Ram KS Rathore, Sajja B Rao, Sanjeev Chawla, Sunil Pradhan, Multiparametric Quantitation of the Perilesional Region in Patients with Healed/Healing Solitary Cysticercus Granuloma Accepted for poster presentation in 8th Scientific Meeting of ISMRM, Glasgow, April, 2001.
  71. Rakesh K Gupta, Sajja B. Rao, Rajan Jain, Lilly Pal, Rajesh Kumar Verma, Sudhakar K Venkatesh, Ram Kishore S Rathore, Differentiation of Calcification(s) from Chronic Hemorrhage(s) with Corrected Gradient Echo Phase Imaging, J Comput. Asst. Tomgr (In Press).
  72. R Kumar, RK Gupta, RKS Rathore, SB Rao, S Chawla, S Pradhan, Multiparametric Quantitation of the Perilesional Region in Patients with Healed/Healing Solitary Cysticercus Granuloma Neuroimagimg (Submitted).
  73. Sanjeev Chawla, Rakesh K Gupta, Rajesh Kumar, Monika Garg, Sajja B. Rao, Ram Kishore Singh Rathore, Demonstration of Scolex in Calcified Cysticercus Lesion Using Gradient Echo with and without Phase Corrected Imaging and its Clinical Implications, AJNR (Submitted).
  74. Gupta RK, Husain N, Kathuria MK, Datta S, Rathore RKS, Husain M. Magnetization transfer MR imaging correlation with histopathology in intracranial tuberculomas. Clin Radiol 2001; 56: 656-663.

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