Image Transforms

Nonseparable Lapped Orthognal Transform and Nonseparable Oversampled Lapped Transform

Nonseparable Lapped Orthognal Transform

MATLAB Source Code

Publications

Journal Papers

  • Chen Zhiyu and Shogo Muramatsu, Multi-focus Image Fusion based on Multiple Directional LOTs, IEICE Trans. on Fundamentals, vol.E98-A, no.11, pp.2360-2365, Nov. 2015.
  • Chen Zhiyu and Shogo Muramatsu, SURE-LET Poisson Denoising with Multiple Directional LOTs, IEICE Trans. on Fundamentals, vol.E98-A, no.8, pp. 1820-1828, Aug. 2015.
  • Natsuki Aizawa, Shogo Muramatsu and Masahiro Yukawa, Image Restoration with Multiple DirLOTs, IEICE Trans. on Fundamentals, Vol.E96-A,No.10,pp.1954-1961,DOI: 10.1587/transfun.E96.A.1954, Oct. 2013.
  • Shogo Muramatsu, Dandan Han, Tomoya Kobayashi and Hisakazu Kikuchi: Directional Lapped Orthogonal Transform: Theory and Design, IEEE Trans. on Image Processing, Vol.21, No.5, pp.2434-2448, DOI: 10.1109/TIP.2011.2182055, May 2012.
  • Shogo Muramatsu, Tomoya Kobayashi, Minoru Hiki and Hisakazu Kikuchi: Boundary Operation of 2-D Non-separable Linear-phase Paraunitary Filter Banks, IEEE Trans. on Image Processing, Vol.21, No.4, pp.2314-2318, DOI: 10.1109/TIP.2011.2181527, April 2012.
  • Atsuyuki Adachi, Shogo Muramatsu, Hisakazu Kikuchi, Constraints of Second-Order Vanishing Moments on Lattice Structures for Non-separable Orthogonal Symmetric Wavelets, IEICE Trans. on Fundamentals, Vol. E92-A, No. 3, pp.788-797, Mar. 2009. (Summary)
  • Shogo Muramatsu, Akihiko Yamada and Hitoshi Kiya, A Design Method of Multidimensional Linear-phase Paraunitary Filter Banks with a Lattice Structure, IEEE Transactions on Signal Processing, vol. 47, no. 3, pp. 690-700, DOI: 10.1109/78.747776, Mar. 1999.

International Conferences

  • Zhiyu Chen and Shogo Muramatsu, Poisson denoising with multiple Directional LOTs, Proc. of 2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp.1234-1238, May 2014.
  • Natsuki Aizawa and Shogo Muramatsu, FISTA-Based Image Restoration with Multiple DirLOTs, Proc. of IWAIT 2013, Jan. 2013.
  • Shogo Muramatsu, Natsuki Aizawa and Masahiro Yukawa, Image Restoration with Union of Directional Orthonormal DWTs, Proc. of APSIPA ASC 2012, Dec. 2012.
  • Shogo Muramatsu: SURE-LET Image Denoising with Multiple Directional LOTs, Proc. of 2012 Picture Coding Symposium (PCS2012), May 2012.
  • Shogo Muramatsu and Dandan Han: Image Denoising with Union of Directional Orthonormal DWTs, IEEE Proc. of 2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp.1089-1092, Mar. 2012.
  • Shogo Muramatsu, Dandan Han and Hisakazu Kikuchi, ”SURE-LET Image Denoising with Directional LOTs, Proc. of APSIPA ASC 2011, Thu-PM.PS1.9, Xi’an, China, Oct. 18 – 21, 2011.
  • Shogo Muramatsu, Tomoya Kobayashi, Dandan Han and Hisakazu Kikuchi, Design Method of Directional GenLOT with Trend Vanishing Moments, Proc. of APSIPA ASC 2010, pp.692-701, Biopolis, Singapore, Dec. 14 – 17, 2010,
  • Shogo Muramatsu, Dandan Han, Tomoya Kobayashi and Hisakazu Kikuchi, Theoretical Analysis of Trend Vanishing Moments for Directional Orthogonal Transforms, Proc. of PCS2010, pp.130-133, Nagoya, Japan, Dec. 7-9, 2010.
  • Tomoya Kobayashi, Shogo Muramatsu and Hisakazu Kikuchi, 2-D Nonseparable GenLOT with Trend Vanishing Moments, IEEE Proc. of International Conf. on Image Proc. (ICIP2010), Hong Kong, pp.385-388, Sep. 2010.
  • Tomoya Kobayashi, Shogo Muramatsu, Hisakazu Kikuchi, Two-Degree Vanishing Moments on 2-D Non-separable GenLOT, IEEE Proc. of 2009 International Symposium on Intelligent Signal Processing and Communication Systems (ISPACS2009), pp.248-251, Kanazawa, Japan, Dec. 7-9, 2009.
  • Shogo Muramatsu and Minoru Hiki, Block-Wise Implementation of Directional GenLOT‘, IEEE Proc. of International Conference on Image Processing (ICIP2009), pp.3977-3980, Cairo, Egypt, Nov. 7-11 2009.

Nonseparable Lapped Orthogonal Transforms

MATLAB Source Code

Publications

Journal Papers

  • Shogo Muramatsu, Kosuke Furuya and Naotaka Yuki, Multidimensional Nonseparable Oversampled Lapped Transforms: Theory and Design，IEEE Trans. on Signal Process.，Vol. 65, No. 5,  pp.1251 -1264, DOI:  10.1109/TSP.2016.2633240, Mar. 2017.
  • Kosuke Furuya, Shintaro Hara, Kenta Seino and Shogo Muramatsu, Boundary Operation of 2-D Non-separable Oversampled Lapped transforms,  APSIPA Transactions on Signal and Information Processing, Vol. 5, pp.1-9, DOI:10.1017/ATSIP.2016.3, April 2016.

International Conferences

  • Shogo Muramatsu, Masaki Ishii and Zhiyu Chen, Efficient Parameter Optimization for Example-Based Design of Non-separable Oversampled Lapped Transform, Proc. of 2016 IEEE Intl. Conf. on Image Processing (ICIP), Sept. 2016.
  • Shogo Muramatsu, Structured Dictionary Learning with 2-D Non-separable Oversampled Lapped Transform, Proc. of 2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp.2643-2647, May 2014
  • Kousuke Furuya, Shintaro Hara and Shogo Muramatsu, Boundary Operation of 2-D non-separable Oversampled Lapped Transforms, Proc. of Asia Pacific Signal and Information Proc. Assoc. Annual Summit and Conf. (APSIPA ASC), Kaohsiung, Taiwan, Nov. 2013
  • Shogo Muramatsu and Natsuki Aizawa, Image Restoration with 2-D Non-separable Oversampled Lapped Transforms, Proc. of 2013 IEEE International Conference on Image Processing(ICIP), Sep. 2013
  • Shogo Muramatsu and Natsuki Aizawa, Lattice Structures for 2-D Non-separable Oversampled Lapped Transforms, Proc. of 2013 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), May 2013

Acknowlegement

These works are supported by JSPS KAKENHI JP23560443, JP26420347.

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