Abstract
Traditional fractal pattern design has some disadvantages such as inability to effectively reflect the characteristics of real scenery and texture. We propose a novel pattern design technique combining fractal geometry and image texture synthesis to solve these problems. We have improved Wei and Levoy (2000)’s texture synthesis algorithm by first using two-dimensional autocorrelation function to analyze the structure and distribution of textures, and then determining the size of L neighborhood. Several special fractal sets were adopted and HSL (Hue, Saturation, and Light) color space was chosen. The fractal structure was used to manipulate the texture synthesis in HSL color space where the pattern’s color can be adjusted conveniently. Experiments showed that patterns with different styles and different color characteristics can be more efficiently generated using the new technique.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Barni, M., Bartolini, F., Cappellini, V., 2000. Image processing for virtual restoration of artworks. IEEE Multimedia, 7(2):34–37. [doi:10.1109/93.848424]
Bertalmio, M., Vese, L., Sapiro, G., Osher, S., 2003. Simultaneous Structure and Texture Image Inpainting. Proceedings of the 2003 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, p.1063–1069.
Cohen, M.F., Shade, J., Hiller, S., Deussen, O., 2003. Wang tiles for image and texture generation. ACM Transactions on Graphics, 22(3):287–294. [doi:10.1145/882262.882265]
Daniilia, S., Sotiropoulou, S., Bikiaris, D., 2000. Panselinos’ Byzantine wall paintings in the Protaton Church, Mount Athos, Greece: a technical examination. Journal of Cultural Heritage, 1(2):91–110. [doi:10.1016/S1296-2074(00)00164-3]
Dewdney, A.K., 1986. Wallpaper for the mind: computer images that are almost, but not quite, repetitive. Scientific American, 255(Sept.):14–23.
Efros, A.A., Leung, T.K., 1999. Texture Synthesis by Non-parametric Sampling. International Conference on Computer Vision (Sept. 1999), p.1033–1038.
Efros, A.A., Freeman, W.T., 2001. Image Quilting for Texture Synthesis. Proceedings of Siggraph’2001, p.341–346.
Kwatra, V., Essa, I., Schödl, A., Turk, G., Bobick, A., 2003. Graphcut Textures: Image and Video Synthesis using Graph Cuts. ACM Transactions on Graphics, Siggraph’2003, p.277–286.
Song, P., Meng, X.X., Tu, C.H., Yang, C.L., 2004. Texton-based texture synthesis. Proceedings of SPIE, 5444:138–144. [doi:10.1117/12.561123]
Wang, X., 2003. Algorithmic construction technique for the computer aided design of fractal patterns. Journal of South China Normal University (Natural Science), 1:46–51.
Wei, L.Y., Levoy, M., 2000. Fast Texture Synthesis Using Tree-structured Vector Quantization. Proceedings of Siggraph’2000, p.479–488.
Wei, B.G., Liu, Y.H., Pan, Y.H., 2003. Using hybrid knowledge engineering and image processing in color virtual restoration of ancient murals. IEEE Transactions on Knowledge and Data Engineering, 15(5):1338–1343. [doi:10.1109/TKDE.2003.1232282]
Author information
Authors and Affiliations
Additional information
Project supported by the Natural Science Foundation of Zhejiang Province (No. M603228), Zhejiang Science and Technology Plan Project, and Ningbo Science Foundation for Doctor, China
Rights and permissions
About this article
Cite this article
Wei, Bg., Li, Jp. & Pang, Xb. Using texture synthesis in fractal pattern design. J. Zhejiang Univ. - Sci. A 7, 289–295 (2006). https://doi.org/10.1631/jzus.2006.A0289
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1631/jzus.2006.A0289