3-D mesh sequence compression using wavelet-based multi-resolution analysis

Applied Mathematics and Computation

Volumn 216, Issue 2, 2010, Pages 410-425

  Cho, Jae W ^a   Valette, S ^b   Park, Ju H ^c   Jung, Ho Y ^c   Prost, R ^b  

^a SAMSUNG Electronics   (South Korea)

^b UNIVERSITÉ DE LYON   (France)

^c Yeungnam University   (South Korea)

Author keywords

Data compression; Image compression; Wavelet transform

Indexed keywords

COMPRESSION METHODS; COMPRESSION PERFORMANCE; DIFFERENTIAL CODING; FIRST ORDER; FRAME-WORK; LOSSY TO LOSSLESS COMPRESSION; MULTI-RESOLUTIONS; PREDICTION ERRORS; SEQUENCE COMPRESSION; SPATIAL COHERENCE; SPATIAL RESOLUTION; SPATIO-TEMPORAL; TEMPORAL REDUNDANCY; TEMPORAL SEQUENCES;

DIGITAL IMAGE STORAGE; ELECTRIC NETWORK TOPOLOGY; IMAGE COMPRESSION; THREE DIMENSIONAL; WAVELET ANALYSIS; WAVELET TRANSFORMS;

DATA COMPRESSION;

EID: 77949264149     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2010.01.032     Document Type: Article

References (26)

1. Du Q., and Gunzburger M. Grid generation and optimization based on centroidal Voronoi tessellations. Applied Mathematics and Computation 133 (2002) 591-607
2. Chan W.M., and Steger J.L. Enhancements of a three-dimensional hyperbolic grid generation scheme. Applied Mathematics and Computation 51 (1992) 181-205
3. J.E. Lengyel, Compression of time-dependent geometry, in: Proceeding of SI3D '99, ACM Press, New York, NY, USA, pp. 89-95.
4. J. Zhang, C.B. Owen, Hybrid coding for animated polygonal meshes: combining delta and octree, in: Proceedings of the International Conference on Information Technology: Coding and Computing, vol. I, 2005, pp. 68-73.
5. M. Alexa, W. Müller, Representing animations by principal components, in: Proceedings of Computer Graphics Forum, vol. 19, 2000.
6. Karni Z., and Gotsman C. Compression of soft-body animation sequences. Computer and Graphics 28 1 (2004) 25-34
7. L. Ibarria, J. Rossignac, Dynapack: space-time compression of the 3D animations of triangle meshes with fixed connectivity, in: SCA '03, 2003, pp.126-135.
8. I. Guskov, A. Khodakovsky, Wavelet compression of parametrically coherent mesh sequences, in: Proceedings of SCA '04, 2004, pp. 183-192.
9. J. Cho, M. Kim, S. Valette, H. Jung, R. Prost, 3-D dynamic mesh compression using wavelet-based multi-resolution analysis, in: Proceedings of ICIP 2006, 2006, pp. 529-532.
10. F. Payan, M. Antonini, Wavelet-based compression of 3D mesh sequences, in: Proceedings of IEEE ACIDCA-ICMI'2005, Tozeur, Tunisia, 2005.
11. H. Sun, X. Chen, T. Chiang, Digital video transcoding for transmission and storage, No. 0-8493-1694-4, CRC Press, 2005, pp. 54-57 (Chapter 2.4.1.2).
12. Valette S., and Prost R. Wavelet-based multi-resolution analysis of irregular surface meshes. IEEE Transactions on Visualization and Computer Graphics 10 2 (2004) 113-122
13. M. Lounsbery, Multiresolution analysis for surfaces of arbitrary topological type, Ph.D. Thesis, Dept. of Computer Science and Engineering, University of Washington (1994).
14. Lin T., Xu S., Shi Q., and Hao P. An algebraic construction of orthonormal M-band wavelets with perfect reconstruction. Applied Mathematics and Computation 172 (2006) 717-730
15. Valette S., and Prost R. Wavelet-based progressive compression scheme for triangle meshes: wavemesh. IEEE Transactions on Visualization and Computer Graphics 10 2 (2004) 123-129
16. Jung H., and Prost R. Lossless sub-band coding system based on rounding transform. IEEE Transactions on Signal Processing 46 9 (1998) 2535-2540
17. Calderbank R., Daubechies I., Sweldens W., and Yeo B.-L. Wavelet transforms that map integers-to-integers. Applied and Computational Harmonic Analysis 5 3 (1998) 332-369
18. S. Valette, Deformable 2D mesh models and wavelet-based multi-resolution for 3D surfaces, Ph.D. Thesis, Dept. of Electrical Engineering, National Institute for Applied Sciences of Lyon, INSA-Lyon, France, 2002.
19. Sweldens W. The lifting scheme: a custom-design construction of bi-othogonal wavelets. Applied and Computational Harmonic Analysis 3 2 (1996) 186-200
20. Adams M.D., and Kossentini F. Reversible integer-to-integer wavelet transforms for image compression: performance evaluation and analysis. IEEE Transaction on Image Processing 9 6 (2000) 1010-1024
21. Papoulis A. Probability, Random Variables and Stochastic Process (1965), McGraw-Hill Chapter 15.3, pp. 558-569
22. M. Schindler, A fast renormalisation for arithmetic coding, in: Proceedings of Data Compression Conference, 1998, p. 572.
23. Hongli S., Yuanli C., and Zulian Q. On design of multiwavelet prefilters. Applied Mathematics and Computation 172 (2006) 1175-1187
24. Maleknejad K., Yousefi M., and Nouri K. Computational methods for integrals involving functions and Daubechies wavelets. Applied Mathematics and Computation 189 (2007) 1828-1840
25. Cignoni P., Rocchini C., and Scopigno R. Metro: measuring error on simplified surfaces. Computer Graphic Forum 17 2 (1998) 167-174
26. Daubechies I., and Sweldens W. Factoring wavelet transforms into lifting steps. Journal of Fourier Analysis and Applications 4 3 (1998) 247-269