Out-of-core tensor approximation of multi-dimensional matrices of visual data

ACM Transactions on Graphics

Volumn 24, Issue 3, 2005, Pages 527-535

  Wang, Hongcheng ^a   Wu, Qing ^a   Shi, Lin ^a   Yu, Yizhou ^a   Ahuja, Narendra ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

Bidirectional Texture Functions; Block Based Partitioning; Multilinear Models; Spatial Coherence; Volume Simulations

Indexed keywords

BIDIRECTIONAL TEXTURE FUNCTIONS; BLOCK-BASED PARTITIONING; MULTILINEAR MODELS; SPATIAL COHERENCE; VISUAL DATASETS; VOLUME SIMULATIONS;

ALGORITHMS; COMPUTER SIMULATION; DATABASE SYSTEMS; MATHEMATICAL MODELS; TENSORS;

COMPUTER GRAPHICS;

EID: 33646061690     PISSN: 07300301     EISSN: 07300301     Source Type: Conference Proceeding    
DOI: 10.1145/1073204.1073224     Document Type: Conference Paper

References (34)

1. BRAND, M. 2002. Incremental singular value decomposition of uncertain data with missing values. In Proc. European Conference on Computer Vision (Vol. I), 707-720.
2. CHEN, W.-C., BOUGUET, J.-Y., CHU, M., AND GRZESZCZUK, R. 2002. Light field mapping: Efficient representation and hardware rendering of surface light fields. ACM Transactions on Graphics 21, 3, 447-456.
3. DANA, K. J., VAN GINNEKEN, B., NAYAR, S. K., AND KOEN-DERINK, J. J. 1999. Reflectance and texture of real world surfaces. ACM Transactions on Graphics 18, 1, 1-34.
4. ENRIGHT, D., MARSCHNER, S., AND FEDKIW, R. 2002. Animation and rendering of complex water surfaces. ACM Transactions on Graphics 21, 3, 736-744.
5. FURUKAWA, R., KAWASAKI, H., IKEUCHI, K., AND SAKAUCHI, M. 2002. Appearance based object modeling using texture database: Acquisition, compression, and rendering. In 13th Eurographics Workshop on Rendering, 257-265.
6. GU, X., GORTLER, S., AND HOPPE, H. 2002. Geometry images. ACM Transactions on Graphics 27, 3, 355-361.
7. HAN, J., AND PERLIN, K. 2003. Measuring bidirectional texture reflectance with a kaleidoscope. ACM Transactions on Graphics 22, 3, 741-748.
8. JAMES, D., AND FATAHALIAN, K. 2003. Precomputing interactive dynamic deformable scenes. ACM TOG 22, 3, 879-887.
9. KOUDELKA, M., MAGDA, S., BELHUMEUR, P., AND KRIEGMAN, D. 2003. Acquisition, compression, and synthesis of bidirectional texture functions. In 3rd Intl. Workshop on Texture Analysis and Synthesis, 59-64.
10. KROONENBERG, P., AND DE LEEUW, J. 1980. Principal component analysis of three-mode data by means of alternating least squares algorithms. Psychometrika 45, 324-1342.
11. LATHAUWER, L. D., DE MOOR, B., AND VANDEWALLE, J. 2000. A multilinear singular value decomposition. SIAM J. Matrix Analysis and Applications 21, 4, 1253-1278.
12. n) approximation of higher-order tensors. SIAM J. Matrix Analysis and Applications 21,4, 1324-1342.
13. LEUNG, T., AND MALIK, J. 1999. Recognizing surfaces using three dimensional textons. In Intl. Conf. Computer Vision.
14. LEVOY, M., AND HANRAHAN, P. 1996. Light field rendering. In Computer Graphics Proceedings, Annual Conference Series, 31-42.
15. LIU, X., YU, Y., AND SHUM, H.-Y. 2001. Synthesizing bidirectional texture functions for real-world surfaces. In Proceedings of SIGGRAPH, 97-106.
16. LIU, X., HU, Y., ZHANG, J., TONG, X., GUO, B., AND SHUM, H.-Y. 2004. Synthesis and rendering of bidirectional texture functions on arbitrary surfaces. IEEE Trans. Visualization and Computer Graphics 10, 3, 278-289.
17. MATUSIK, W., PFISTER, H., BRAND, M., AND MCMILLAN, L. 2003. A data-driven reflectance model. ACM Transactions on Graphics 22, 3, 759-769.
18. NGUYEN, K., AND SAUPE, D. 2001. Rapid high quality compression of volume data for visualization. Computer Graphics Forum 20, 3, 49-56.
19. NISHINO, K., SATO, Y., AND IKEUCHI, K. 1999. Eigen-texture method: appearance compression based on 3d model. In Proceedings of IEEE Conference on Computer Vision and Pattern Recognition (CVPR'99), 618-624.
20. RABANI, E., AND TOLEDO, S. 2001. Out-of-core svd and qr decompositions. In Proceedings of the 10th SIAM Conference on Parallel Processing for Scientific Computing.
21. RODLER, F. 1999. Wavelet based 3d compression with fast random access for very large volume data. In Proceedings of the 7th Pacific Conference on Computer Graphics and Applications, 108-117.
22. SATTLER, M., SARLETTE, R., AND KLEIN, R. 2003. Efficient and realistic visualization of cloth. In Proc. Eurographics Symposium on Rendering, 167-177.
23. SHASHUA, A., AND LEVIN, A. 2001. Linear image regression and classification using the tensor-rank principle. In IEEE Conf. Computer Vision and Pattern Recognition.
24. SHI, L., AND YU, Y. 2005. Controllable smoke animation with guiding objects. ACM Transactions on Graphics 24, 1, 140-164.
25. TONG, X., ZHANG, J., LIU, L., WANG, X., GUO, B., AND SHUM, H.-Y. 2002. Synthesis of bidirectional texture functions on arbitrary surfaces. In SIGGRAPH 2002 Proceedings, 665-672.
26. TUCKER, L. 1966. Some mathematical notes on three-mode factor analysis. Psychometrika 31, 279-311.
27. VASILESCU, M. A. O., AND TERZOPOULOS, D. 2002. Multi-linear analysis of image ensembles: Tensorfaces. In European Conference on Computer Vision, 447-460.
28. VASILESCU, M., AND TERZOPOULOS, D. 2004. Tensortextures: Multilinear image-based rendering. ACM Transactions on Graphics 23, 3, 334-340.
29. WANG, H., AND AHUJA, N. 2003. Facial expression decomposition. In Int. Conf. on Computer Vision, 958-965.
30. WEYRICH, T., PFISTER, H., AND GROSS, M. 2005. Rendering deformable surface reflectance fields. IEEE Trans. Visualization and Computer Graphics 11, 1, 48-58.
31. YANG, J., ZHANG, D., FRANGI, A., AND YANG, J. 2004. Two-dimensional pea: A new approach to appearance-based face representation and recognition. IEEE Transactions on Pattern Analysis and Machine Intelligence 26, 1 (January).
32. YE, J. 2004. Generalized low rank approximations of matrices. In International Conference on Machine Learning, ICML'04.
33. YEO, B.-L., AND LIU, B. 1995. Volume rendering of dct-based compressed 3d scalar data. IEEE Trans. Visualization and Computer Graphics 1, 1, 29-43.
34. YU, Y., AND CHANG, J. 2005. Shadow graphs and 3d texture reconstruction. International Journal of Computer Vision 62, 1/2, 35-60.