Publication List of 丁建均 Jian-Jiun Ding

Journal articles & book chapters:

  1. S. C. Pei, W. L. Hsue, and J. J. Ding, “DFT-Commuting Matrix with Arbitrary or Infinite Order Second Derivative Approximation,” IEEE Trans. Signal Processing, vol. 57, no. 1, pp. 390-394, Jan. 2009
  2. S. C. Pei, C. C. Wen, and J. J. Ding, “Closed-form orthogonal DFT eigenvectors generated by complete generalized Legendre sequence,” IEEE Trans. Circuits Syst. I, vol. 55, no. 11, pp. 3469-3479, Dec. 2008
  3. S. C. Pei, J. H. Chang, J. J. Ding, and M, Y, Chen, “Eigenvalues and singular value decompositions of reduced biquaternion matrices,” IEEE Trans. Circuits Syst. I, vol. 55, no. 9, pp. 2673-2685, Oct. 2008
  4. S. C. Pei and J. J. Ding, “Generalized commuting matrices and their eigenvectors for DFTs, offset DFTs, and other periodic operations,” IEEE Trans. Signal Processing, vol. 56, no.8, pp. 3891-3904, Aug. 2008
  5. S. C. Pei and J. J. Ding, “Relations between Gabor transforms and fractional Fourier transforms and their applications for signal processing,” IEEE Trans. Signal Processing, vol. 55, no. 10, pp. 4839-4850, Oct. 2007
  6. S. C. Pei and J. J. Ding, “Eigenfunctions of Fourier and fractional Fourier transforms with complex offsets and parameters,” IEEE Trans. Circuits Syst. I, vol. 54, no. 7,, pp. 1599-1611, Jul. 2007
  7. S. C. Pei and J. J. Ding, “Reversible integer color transform,” IEEE Trans. Image Processing, vol. 16, no. 6, pp. 1686-1690, Jun. 2007
  8. S. C. Pei, W. L. Hsue, and J. J. Ding, “Discrete fractional Fourier transform based on new nearly tridiagonal commuting matrices,” IEEE Trans. Signal Processing, vol. 54, no. 10, pp. 3815-3828, Oct. 2006
  9. S. C. Pei and J. J. Ding, “Generalized prolate spheroidal wave functions for optical finite fractional Fourier and linear canonical transforms,” J. Opt. Soc. Am. A, vol. 22, no. 3, pp. 460-474, Mar. 2005
  10. S. C. Pei, J. H. Chang, and J. J. Ding, “Commutative reduced biquaternions and their Fourier transform for signal and image processing,” IEEE Trans. Signal Processing, vol. 52, no. 7, pp. 2012-2031, Jul. 2004
  11. S. C. Pei and J. J. Ding, “Generalized eigenvectors and fractionalization of offset DFTs and DCTs,” IEEE Trans. Signal Processing, vol. 52, no. 7, pp. 2032-2046, Jul. 2004
  12. S. C. Pei and J. J. Ding, “Eigenfunctions of the offset Fourier, fractional Fourier, and linear canonical transforms,” J. Opt. Soc. Am. A, vol. 20, no. 3, pp. 522-532, Mar. 2003
  13. S. C. Pei and J. J. Ding, “Fractional, canonical, and simplified fractional cosine, sine and Hartley transforms,” IEEE Trans. Signal Processing, vol. 50, no. 7, pp. 1611-1680, Jul. 2002
  14. S. C. Pei and J. J. Ding, “Eigenfunctions of linear canonical transform,” IEEE Trans. Signal Processing, vol. 50, no. 1, pp. 11-26, Jan. 2002
  15. S. C. Pei, J. J. Ding, and J. H. Chang, “Efficient implementation of quaternion Fourier transform, convolution, and correlation by 2-D complex FFT,” IEEE Trans. Signal Processing, vol. 49, no. 11, pp. 2783-2797, Nov. 2001
  16. S. C. Pei and J. J. Ding, “Relations between the fractional operations and the Wigner distribution, ambiguity function,” IEEE Trans. Signal Processing, vol. 49, no. 8, pp. 1638-1655, Aug. 2001
  17. S. C. Pei and J. J. Ding, “Two-dimensional affine generalized fractional Fourier transform,” IEEE Trans. Signal Processing, vol. 49, no. 4, pp. 878-897, Apr. 2001
  18. S. C. Pei and J. J. Ding, “The integer transforms analogous to discrete trigonometric transforms,” IEEE Trans. Signal Processing, vol. 48, no. 12, pp. 3345-3364, Dec. 2000
  19. S. C. Pei and J. J. Ding,, “Simplified fractional Fourier transforms,” J. Opt. Soc. Am. A, vol. 17, no. 12, Dec. 2000
  20. S. C. Pei and J. J. Ding, “Closed form discrete fractional and affine Fourier transforms,” IEEE Trans. Signal Processing, vol. 48, no. 5, pp. 1338-1353, May 2000

Conference & proceeding papers:

  1. S. C. Pei and J. J. Ding, “Improved Reversible Integer-to-Integer Color Transforms,” IEEE International Conference on Image Processing, Cairo, Egypt, Nov. 2009
  2. S. C. Pei and J. J. Ding, “Uncertainty Principle of the 2-D Affine Generalized Fractional Fourier Transform,” APSIPA Annual Summit and Conference, Sapporo, Japan, Oct. 2009
  3. S. C. Pei and J. J. Ding, “Generalizing the Jacket Transform by Sub Orthogonality Extension,” European Signal Processing Conference, Glasgow, United Kingdom, Aug. 2009
  4. S. C. Pei and J. J. Ding, “Properties, Digital Implementation, Applications, and Self Image Phenomena of the Gyrator Transform,” European Signal Processing Conference, Glasgow, United Kingdom, Aug. 2009
  5. J. J. Ding, C. J. Kuo, and W. C. Hong, “An efficient image segmentation technique by fast scanning and adaptive merging,” Computer Vision, Graphics, and Image Processing, Sitou, Taiwan, Aug. 2009
  6. S. C. Pei, J. J. Ding, P. Y. Lin, and T. H. H. Lee, “Two-dimensional orthogonal DCT expansion in triangular and trapezoid regions,” Computer Vision, Graphics, and Image Processing, Sitou, Taiwan, Aug. 2009
  7. J. J. Ding, S. C. Pei, W. Y. Wei, and T. H. H. Lee, “Improved Golomb code for joint geometric distribution data and its applications in image processing,” Computer Vision, Graphics, and Image Processing, Sitou, Taiwan, Aug. 2009
  8. S. C. Pei and J. J. Ding, “Natural images phase encoding and encryption with the same spectrum amplitude,” IEEE International Symposium on Circuits and Systems, Taipei, Taiwan, May 2009
  9. S. C. Pei and J. J. Ding, “Natural images phase encoding and encryption with the same spectrum amplitude,” IEEE Asia Pacific Conference on Circuits and Systems, Macao, China, Dec. 2008
  10. S. C. Pei and J. J. Ding, “Short response Hilbert transform for edge detection,” IEEE Asia Pacific Conference on Circuits and Systems, Macao, China, Dec. 2008
  11. J. J. Ding, J. D. Huang, T. H. H. Lee, and K. H. Hsu, “Improved arbitrary-shape image compression by morphological segmentation,” Computer Vision, Graphics, and Image Processing, Yilan, Taiwan, Aug. 2008
  12. J. J. Ding, J. D. Huang, C. J. Kuo, and W. F. Wang, “Asymmetric Fourier descriptor for unclosed segment description,” Computer Vision, Graphics, and Image Processing, Yilan, Taiwan, Aug. 2008
  13. S. C. Pei, W. L. Hsue, and J. J. Ding, “Coefficient-truncated higher-order commuting matrices of the discrete Fourier transform,” IEEE International Conference on Acoustics, Speech, and Signal Processing, accepted, Las Vegas, USA, Apr. 2008
  14. S. C. Pei and J. J. Ding, “Quaternions and biquaternions for symmetric Markov-chain system analysis,” European Signal Processing Conference, accepted, Poznan, Poland, Sept. 2007
  15. S. C. Pei and J. J. Ding, “Improved Harris’ algorithm for corner and edge detections,” International Conference on Image Processing, pp. 57-60, San Antonio, USA, Sept. 2007
  16. S. C. Pei and J. J. Ding, “Discrete-to-discrete prolate spheroidal wave functions and finite duration discrete fractional Fourier transform,” European Signal Processing Conference, accepted, Poznan, Poland, Sept. 2007
  17. J. J. Ding, S. C. Pei, G. C. Guo, J. D. Huang, Y. C. Lin, Y. S. Zhang, and N. C. Shen, “Images sharing the same amplitude spectrum but different phase key,” Computer Vision, Graphics, and Image Processing, Miao Li, Taiwan, Aug. 2007
  18. J. J. Ding, S. C. Pei, J. D. Huang, G. C. Guo, Y. C. Lin, N. C. Shen, and Y. S. Zhang, “Short response Hilbert transform for edge detection,” Computer Vision, Graphics, and Image Processing, Miao Li, Taiwan, Aug. 2007
  19. S. C. Pei and J. J. Ding, “Scaled lifting scheme and generalized reversible integer transform,” IEEE International Symposium on Circuits and Systems, pp. 3203-3206, New Orleans, USA, May 2007
  20. Y. C. Zeng, S. C. Pei and J. J. Ding, “DCT-based image protection using dual-domain bi-watermarking algorithm,” International Conference on Image Processing, pp. 2581-2584, Atlanta , USA, Oct. 2006
  21. Y. C. Zeng, S. C. Pei and J. J. Ding, “Color images enhancement using weighted histogram separation,” International Conference on Image Processing, pp. 2889-2892, Atlanta , USA, Oct. 2006
  22. S. C. Pei and J. J. Ding, “Relations between Gabor transforms and fractional Fourier transforms and their applications for signal processing,” European Signal Processing Conference, Florence, Italy, Sept. 2006
  23. J. J. Ding and S. C. Pei, “Fractional Fourier transforms and Wigner distribution functions for stationary and non-stationary random process,” IEEE International Conference on Acoustics, Speech and Signal Processing, vol. 3, pp. 21-24, Toulouse, France, May 2006
  24. S. C. Pei and J. J. Ding, “Improved reversible integer transform,” IEEE International Symposium on Circuits and Systems, pp. 1091-1094, Island of Kos, Greece, May 2006
  25. S. C. Pei and J. J. Ding, “Reversible Integer Color Transform with Bit-Constraint,” International Conference on Image Processing, vol. 3, pp. 964-967, Genoa, Italy, Sept. 2005
  26. S. C. Pei and J. J. Ding, “New Corner Detection Algorithm by Tangent and Vertical Axes and Case Table,” International Conference on Image Processing, vol. 1, pp. 365-368, Genoa, Italy, Sept. 2005
  27. J. J. Ding and S. C. Pei, “Reducing sampling error by prolate spheroidal wave functions and fractional Fourier transform,” IEEE International Conference on Acoustics, Speech and Signal Processing, vol. 4, pp. 217-220, Philadelphia, USA, Mar. 2005
  28. S. C. Pei, W. L. Hsue, and J. J. Ding, “Discrete fractional Fourier transform based on new nearly tridiagonal commuting matrices,” IEEE International Conference on Acoustics, Speech and Signal Processing, vol. 5, pp. 385-388, Philadelphia, USA, Mar. 2005
  29. S. C. Pei and J. J. Ding, “偏移傅式、分數傅式、線性完整轉換的固有函數,” 國防工業訓儲制度九十三年度研發成果發表展, Taipei, Taiwan, Oct. 2004
  30. S. C. Pei, J. H. Chang, and J. J. Ding, “2D Quaternion Fourier Spectral Analysis and Its Applications,” International Symposium on Circuits and Systems, vol. 3, pp. 241-244, Vancouver, Canada, May 2004
  31. S. C. Pei, J. H. Chang, and J. J. Ding, “Quaternion matrix singular value decomposition and its applications for color image processing,” International Conference on Image Processing, vol. 1, pp. 805-808, Barcelona, Spain, Sept. 2003
  32. S. C. Pei and J. J. Ding, “Saving the bandwidth in the fractional domain by generalized Hilbert transform pair relation,” IEEE International Symposium on Circuits and Systems, vol. 4, pp. 89-92, Bangkok, Thailand, May 2003
  33. S. C. Pei, C. L. Wu, and J. J. Ding, “Simplified structures for two-dimensional adaptive notch filters,” IEEE International Symposium on Circuits and Systems, vol. 4, pp. 416-419, Bangkok, Thailand, May 2003
  34. S. C. Pei and J. J. Ding, “The generalized radial Hilbert transform and its applications to 2-D edge detection (any direction or specified directions),” IEEE International Conference on Acoustics, Speech and Signal Processing, vol. 3, pp. 357-360, Hong Kong, Apr. 2003
  35. S. C. Pei and J. J. Ding, “相位金匙及影像的編碼、轉換、加密解密,” 國防工業訓儲制度九十二年度研發成果發表展, Taipei, Taiwan, 2003
  36. S. C. Pei, J. J. Ding, and J. H. Chang, “Color pattern recognition by quaternion correlation,” International Conference on Image Processing, vol. 1, pp. 894-897, Thessaloniki, Greece, Oct. 2001
  37. S. C. Pei and J. J. Ding, “Fractional, canonical, and simplified fractional cosine transforms,” IEEE International Conference on Acoustics, Speech and Signal Processing, vol. 6, pp. 3545-3548, Salt Lake City, USA, May 2001
  38. S. C. Pei and J. J. Ding, “Integer discrete Fourier transform and its extension to integer trigonometric transforms,” IEEE International Conference on Acoustics, Speech, and Signal Processing, vol. 5, pp. 513-516, Istanbul,Turkey, 2000
  39. S. C. Pei and J. J. Ding, “Eigenfunctions of the canonical transform and the self-imaging problems in optical system,” IEEE International Conference on Acoustics, Speech and Signal Processing, vol. 1, pp. 73-76, Istanbul, Turkey, 2000
  40. J. J. Ding and S. C. Pei, “Integer Fourier transform,” 一九九九民生電子研討會: 數位視訊及多媒體通訊, Taipei, Taiwan, Oct. 1999
  41. J. J. Ding and S. C. Pei, “2-D affine generalized fractional Fourier transform,” IEEE International Conference on Acoustics, Speech, and Signal Processing, vol. 6, pp. 3181-3184, Phoenix, USA, 1999
  42. S. C. Pei, C. C. Tseng, M. H. Yeh, and J, J, Ding, “A new definition of continuous fractional Hartley transform,” IEEE Int'l Conference on Acoust. Speech, Signal Processing, pp.1485-1488, Seattle, USA, May 1998

Books:

  1. A. V. Oppenheim and R. W. Schafer 原著，曾建誠，陳常侃，王鵬華，丁建均翻譯, “Discrete-Time Signal Processing (離散時間訊號處理), 2nd Ed.,” Prentice Hall, 翻譯本全華印行, USA, 翻譯本中華民國發行, 1102 pages, May 2000