© 2005, it - instituto de telecomunicações. Todos os direitos reservados. Nuno Rodrigues Danillo Graziosi Nelson Francisco Sérgio de Faria Vitor Silva Eduardo da Silva (UFRJ) Multidimensional Multiscale Parser 1a Jornadas sobre Codificação de Imagem e Vídeo do Instituto de Telecomunicações (JCIVIT)‏ Leiria - 19/02/2009

2 The Multi-dimensional Multiscale Parser algorithm | Leiria, 19/02/2009 The Multidimensional Multiscale Parser algorithm The MMP (Multidimensional Multiscale Parser) algorithm is a universal data compression algorithm based on multiscale recurrent pattern matching It uses a dictionary of patterns that is adaptively built while the input data is encoded. The dictionary is updated by the inclusion of concatenations (in a Lempel-Ziv fashion) of dilated/contracted versions of input blocks previously encoded. It is able to achieve good compression performances for a wide range of signal types.

3 The Multi-dimensional Multiscale Parser algorithm | Leiria, 19/02/2009 The Multidimensional Multiscale Parser algorithm D n X n

4 The Multi-dimensional Multiscale Parser algorithm | Leiria, 19/02/2009 The Multidimensional Multiscale Parser algorithm D n X n

5 The Multi-dimensional Multiscale Parser algorithm | Leiria, 19/02/2009 The Multidimensional Multiscale Parser algorithm D n X n

6 The Multi-dimensional Multiscale Parser algorithm | Leiria, 19/02/2009 The Multidimensional Multiscale Parser algorithm D n X n

7 The Multi-dimensional Multiscale Parser algorithm | Leiria, 19/02/2009 The Multidimensional Multiscale Parser algorithm D n X n

8 The Multi-dimensional Multiscale Parser algorithm | Leiria, 19/02/2009 The Multidimensional Multiscale Parser algorithm J n =D(X n, D i n )+  R(D i n ) D n X n DinDin

9 The Multi-dimensional Multiscale Parser algorithm | Leiria, 19/02/2009 The Multidimensional Multiscale Parser algorithm X 0 n-1 X 1 n-1

10 The Multi-dimensional Multiscale Parser algorithm | Leiria, 19/02/2009 The Multidimensional Multiscale Parser algorithm X 0 n-1 X 1 n-1 D n

11 The Multi-dimensional Multiscale Parser algorithm | Leiria, 19/02/2009 The Multidimensional Multiscale Parser algorithm D n-1 X 0 n-1 X 1 n-1

12 The Multi-dimensional Multiscale Parser algorithm | Leiria, 19/02/2009 The Multidimensional Multiscale Parser algorithm D n-1 X 0 n-1 X 1 n-1 J 0 n-1 =D(X 0 n-1, D i0 n-1 )+  R(D i0 n-1 ) J 1 n-1 =D(X 1 n-1, D i1 n-1 )+  R(D i1 n-1 ) J n-1 =J 0 n-1 + J 1 n-1 +  R(f n-1 )

13 | Leiria, 19/02/2009 The Multidimensional Multiscale Parser algorithm D n-1 X n The Multi-dimensional Multiscale Parser algorithm

14 | Leiria, 19/02/2009 The Multidimensional Multiscale Parser algorithm D n-1 X’ n = [D i0 n-1 : D i0 n-1 ] X n The Multi-dimensional Multiscale Parser algorithm

15 | Leiria, 19/02/2009 The Multidimensional Multiscale Parser algorithm X’ n = [D i0 n-1 : D i0 n-1 ] X n D n The Multi-dimensional Multiscale Parser algorithm

16 | Leiria, 19/02/2009 The Multidimensional Multiscale Parser algorithm X’ n = [D i0 n-1 : D i0 n-1 ] X n D n Dictionary updating The Multi-dimensional Multiscale Parser algorithm

17 The Multi-dimensional Multiscale Parser algorithm | Leiria, 19/02/2009 The Multidimensional Multiscale Parser algorithm Output: 0 4, 1 3, i 0, 0 3, 1 2, i 1, 0 2, 1 1, i 2, i 3, 1 1, i 4

18 The Multi-dimensional Multiscale Parser algorithm | Leiria, 19/02/2009 The Multidimensional Multiscale Parser algorithm The dictionary adapts itself to the image patterns; The scale transformations allow for the exploitation of the self similitude properties of the signal;

19 The Multi-dimensional Multiscale Parser algorithm | Leiria, 19/02/2009 The Multidimensional Multiscale Parser algorithm MMP has been developed for image compression, where it achieves very good results for both smooth and non-smooth images: universal feature. N. M. M. Rodrigues, E. A. B. da Silva, M. B. de Carvalho, S. M. M. de Faria and Vitor M. M. Silva, “On Dictionary Adaptation for Recurrent Pattern Image Coding", IEEE Transactions on Image Processing, vol.17, no.9, pp , Sept It as been successfully used in the compression of other signals (e.g. voice, stereoscopic images). Our group has recently worked on MMP-based ECG’ compression, with state-of-the-art compression results. E. B. L Filho; Rodrigues, Nuno M. M. ; E. Silva; Faria, S.M.M.; Silva, V.; M. Carvalho, “ECG Signal Compression Based on DC Equalization and Complexity Sorting", IEEE Trans. on Biomedical Engineering, Vol. 55, No. 7, pp , July, E. B. L. Filho, N. M. M. Rodrigues, E. A. B. da Silva, S. M. M. de Faria, Vitor M. M. Silva, M. B. de Carvalho, “On ECG Signal Compression with One-dimensional Multiscale Recurrent Patterns Allied to Pre-Processing Techniques“, accepted for publication in IEEE Transactions on Biomedical Engineering. 2009

20 The Multi-dimensional Multiscale Parser algorithm | Leiria, 19/02/2009 The Multidimensional Multiscale Parser algorithm Recently, an hybrid video encoder that uses MMP to compress the predicted residue was proposed. MMP-video achieves better results than H.264/AVC, especially for B slices and high compression ratios.

21 The Multi-dimensional Multiscale Parser algorithm | Leiria, 19/02/2009 The Multidimensional Multiscale Parser algorithm Some references on MMP-Video: N. M. M. Rodrigues, E. A. B. da Silva, M. B. de Carvalho, S. M. M. de Faria and Vitor M. M. Silva, “Improving H.264/AVC Inter Compression with Multiscale Recurrent Patterns", ICIP IEEE International Conference on Image Processing, Atlanta, United States, October N. M. M. Rodrigues, E. A. B. da Silva, M. B. de Carvalho, S. M. M. de Faria and Vitor M. M. Silva, “An Ecient H.264-based Video Encoder Using Multiscale Recurrent Patterns", SPIE Optics & Photonics – Applications of Digital Image Processing, San Diego, United States, August, N. M. M. Rodrigues, E. A. B. da Silva, M. B. de Carvalho, S. M. M. de Faria and Vitor M. M. Silva, “H.264/AVC Based Video Coding Using Multiscale Recurrent Patterns: First Results", VLBV 2005, Lecture Notes on Computer Science, vol. 3893, pp , Luigi Atzori, Daniel D. Giusto, Riccardo Leonardi, Fernando Pereira (Eds.), ISBN: , Springer-Verlag, 2006.

© 2005, it - instituto de telecomunicações. Todos os direitos reservados. Multidimensional Multiscale Parser 1a Jornadas sobre Codificação de Imagem e Vídeo do Instituto de Telecomunicações (JCIVIT)‏ Leiria - 19/02/2009 Nuno Rodrigues Danillo Graziosi Nelson Francisco Sérgio de Faria Vitor Silva Eduardo da Silva (UFRJ)