The promise and perils of near-regular texture

International Journal of Computer Vision

Volumn 62, Issue 1-2, 2005, Pages 145-159

  Liu, Yanxi ^a   Tsin, Yanghai ^a   Lin, Wen Chieh ^a  

^a CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER VISION; PATTERN RECOGNITION; REFLECTION; SENSORY PERCEPTION; STATISTICAL METHODS;

GLIDE-REFLECTION SYMMETRIES; PATTERN ANALYSIS; TEXTURE SYNTHESIS;

TEXTURES;

EID: 8644292562     PISSN: 09205691     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:VISI.0000046593.03875.01     Document Type: Article

References (42)

1. Ashikhmin, M. 2001. Synthesizing natural textures. In ACM Symposium on Interactive 3D Graphics, pp. 217-226.
2. Bieberbach, L. 1910. Über die Bewegungsgruppen der n-dimensional en Euklidischen Räume mit einem endlichen Fundamental bereich. Göttinger Nachrichten, pp. 75-84.
3. Chambers, D.A. (ed.). 1995. DNA: The Double Helix: Perspective and Prospective at Forty Years. New York Academy of Sciences: New York.
4. Chetverikov, D. 2000. Pattern regularity as a visual key. Image and Vision Computing, 18:975-986.
5. Chetverikov, D. 2002. Fundamental structural properties of textures. PhD thesis, MTA SZTAKI, Budapest.
6. Conners, R.W. and Harlow. C.A. 1980. Toward a structural textural analyzer based on statistical methods. CGIP, 12(3):224-256.
7. Coxeter, H.S.M. 1980. Introduction to Geometry, 2nd edn. Wiley, New York.
8. Coxeter, H.S.M. and Moser, W.O.J. 1980. Generators and Relations for Discrete Groups, 4th edn. Springer-Verlag: New York.
9. Cross, G.R. and Jain, A.K. 1983. Markov random field texture models. IEEE Trans. PAMI, 5:25-39.
10. De Bonet, J.S. 1997. Multiresolution sampling procedure for analysis and synthesis of texture image. In SIGGRAPH Proceedings, pp. 361-368.
11. Efros, A.A. and Freeman, W.T. 2001. Image quilting for texture synthesis and transfer. In SIGGRAPH, pp. 35-42.
12. Efros, A.A. and Leung, T.K. 1999. Texture synthesis by non-parametric sampling. In International Conference on Computer Vision.
13. Enrich, R. and Foith, J.P. 1978. A view of texture topology and texture description. Computer Graphics Image Processing, 8:174-202.
14. Fedorov, E.S. 1885. The elements of the study of figures. [Russian] (2) 21. In Zapiski Imperatorskogo S. Peterburgskogo Mineralogichesgo Obshchestva [Proc. S. Peterb. Mineral Sac.], pp. 1-289.
15. Feynman, R.P. 1998. Six Not-so-Easy-Pieses: Einstein's Relativity, Symmetry, and Space-Time. Perseus Press: Cambridge, MA.
16. Grünbaum, B. and Shephard, G.C. 1987. Tilings and Patterns, W.H. Freeman and Company: New York.
17. Hargittai, I. and Hargittai, M. 2000. In Our Own Image: Personal Symmetry in Discovery. Kluwer Academic Publishers.
18. Henry,.N.F.M. and Lonsdale, K. (eds.). 1969. International Tables for X-ray Crystallography, Vol. 1, Symmetry Groups. The Kynoch Press: England, The International Union of Crystallography.
19. Hertzmann, A., Jacobs, C.E., Oliver, N., Curless, B., and Salesin, D. H. 2001. Image analogies. In SIGGRAPH.
20. Hsu, T.I. and Wilson, R. 1998. A two-component model of texture for analysis and synthesis. IEEE Trans. on Image Processing, 7(10):1466-1476.
21. Kaplan, C.S. and Salesin, D.H. 2000. Escherization. In the 27th International Conference on Computer Graphics and Interactive Techniques.
22. Leyton, M. 1992. Symmetry, Causality, Mind. The MIT Press: Cambridge, MA.
23. Liang, L., Liu, C., Xu, Y.Q., Guo, B., and Shum, H.Y. 2001. Real-time texture synthesis by patch-based sampling. ACM Transactions on Graphics (TOG), 20(3):127-150.
24. Liu, Y. 2001. Computational symmetry. In Symmetry 2000, I. Hargittai and T.C. Laurent (Eds.), vol. 80 chapter 21, Wenner-Gren International Series, Portland, London, pp. 231-245. ISBN I 85578 149 2.
25. Liu, Y. and Collins, R.T. 2000. A computational model for repeated pattern perception using frieze and wallpaper groups. In Computer Vision and Patient Recognition Conference (CVPR'00), IEEE Computer Society Press: Hilton Head, SC, pp. 537-544. (http://www.ri.cmu.edu/pubs/pub_3302.html).
26. Liu, Y. and Collins, R.T. 2001. Skewed symmetry groups. In Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'01), IEEE Computer Society Press: Kauai, HI, pp. 872, 879. (http://www.ri.cmu.edu/pubs/pub_3815.html).
27. Liu, Y., Collins, R.T., and Tsin, Y. 2003. A computational model for periodic pattern perception based on frieze and wallpaper groups. IEEE Transaction on Pattern Analysis and Machine Intelligence (to appear).
28. Lu, S.Y. and Fu, K.S. 1978. A syntactic approach to texture analysis. Computer Graphics Image Processing, 7:303-330.
29. Miller, W. Jr. 1972. Symmetry Groups and Their Applications. Academic Press: New York.
30. Portilla, J. and Simoncelli, E. 2000. A parametric texture model based on joint statistics of complex wavelet coefficients. Int. Journal of Comp. Vision, 40(1):49-71.
31. Rao, A.R. and Lohse, G.L. 1993. Identifying high level features of texture perception. CVGIP: Image Processing, 55:218-233.
32. Schattschneider, D. 1978. The plane symmetry groups: Their recognition and notation. American Mathematical Monthly, 85:439-450.
33. Senechal, M. 1995. Quasicrystals and Geometry. Cambridge University Press.
34. Tsin, Y., Liu, Y., and Ramesh, V. 2001. Texture replacement in real images. In Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'01), (http://www-2.cs.cmu.edu/~ytsin/research/ texture_replacement/index.html), Kauai, IEEE Computer Society Press.
35. Washburn, D.K. and Crowe, D.W. 1991. Symmetries of Culture: Theory and Practice of Plane Pattern Analysis. University of Washington Press.
36. Wei, L.Y. and Levoy, M. 2000. Fast texture synthesis using tree-structured vector quantization. In SIGGRAPH, pp. 479-488.
37. Xu, Y.Q., Zhu, S.C., Guo, B.N., and Shum, H.Y. 2001. Asymptotically admissible texture synthesis. In International Workshop on Statistical and Computational Theories of Vision.
38. Zee, A. 1999. fearful Symmetry. Princeton University Press.
39. Zhu, S.C., Guo, C.E., Wu, Y.N., and Wang, Y.Z. 2002. What are textons. In Proceeding of European Conference on Computer Vision, Copenhagen, Denmark.
40. Zhu, S.C., Liu, X., and Wu, Y. 2000. Exploring texture ensembles by efficitn markov chain monte carlo. IEEE Transaction on PAMI, 22(6).
41. Zhu, S.C., Wu. Y., and Mumford, D.B. 1997. Minimax entropy principle and its application to texture modeling. Neural Computation, 9:1627-1660.
42. Zucker, S.W. 1976. Toward a model of texture. CGIP, 5(2): 190-202.