“Symmetry-Guided Texture Synthesis and Manipulation” by Kim, Lipman and Funkhouser

This article presents a framework for symmetry-guided texture synthesis and processing. It is motivated by the long-standing problem of how to optimize, transfer, and control the spatial patterns in textures. The key idea is that symmetry representations that measure autocorrelations with respect to all transformations of a group are a natural way to describe spatial patterns in many real-world textures. To leverage this idea, we provide methods to transfer symmetry representations from one texture to another, process the symmetries of a texture, and optimize textures with respect to properties of their symmetry representations. These methods are automatic and robust, as they don’t require explicit detection of discrete symmetries. Applications are investigated for optimizing, processing, and transferring symmetries and textures.

100KR. 2012. http://www.flickr.com/photos/100kr/209708058/.Google Scholar
Bar-Joseph, Z., El-Yaniv, R., Lischinski, D., and Werman, M. 2001. Texture mixing and texture movie synthesis using statistical learning. IEEE Trans. Vis. Comput. Graph. 7, 2, 120–135. Google ScholarDigital Library
Bonneh, Y., Reisfeld, D., and Yeshurun, Y. 1994. Quantification of local symmetry: Application to texture discrimination. Spatial Vis. 8, 4, 515–530.Google ScholarCross Ref
Brennan, D. 2012. http://www.flickr.com/photos/davidbrennan/251080600/.Google Scholar
Chetverikov, D. 1995. Pattern orientation and texture symmetry. Comput. Anal. Images Patterns 970. Google ScholarDigital Library
Cwazymandy. 2012. http://www.flickr.com/photos/cwazymandy/3938576605/.Google Scholar
Database, C. N. 2012. http://vivid.cse.psu.edu/texturedb/gallery/.Google Scholar
Dolescum. 2012. http://www.flickr.com/photos/dolescum/4399058804/.Google Scholar
Ebert, D. S., Musgrave, F. K., Peachey, D., Perlin, K., and Worley, S. 2002. Texturing and Modeling: A Procedural Approach. Morgan Kaufmann. Google ScholarDigital Library
Efros, A. A. and Freeman, W. T. 2001. Image quilting for texture synthesis and transfer. In Proceedings of the SIGGRAPH’01 Conference. Google ScholarDigital Library
Efros, A. A. and Leung, T. K. 1999. Texture synthesis by nonparametric sampling. In Proceedings of the International IEEE Conference on Computer Vision (ICCV’99). Google ScholarDigital Library
Euart. 2012. http://www.flickr.com/photos/euart/282152062/.Google Scholar
Golovinskiy, A., Podolak, J., and Funkhouser, T. 2009. Symmetry-aware mesh processing. In Proceedings of the Mathematics of Surfaces Conference. Google ScholarDigital Library
Hays, J. H., Leordeanu, M., Efros, A. A., and Liu, Y. 2006. Discovering texture regularity as a higher-order correspondence problem. In Proceedings of the European Conference on Computer Vision. Google ScholarDigital Library
Heeger, D. J. and Bergen, J. R. 1995. Pyramid-Based texture analysis/synthesis. In Proceedings of the SIGGRAPH’95 Conference. Google ScholarDigital Library
Heigan, M. 2012. http://www.flickr.com/photos/martin_heigan/2352361336/.Google Scholar
Hertzmann, A., Jacobs, C. E., Oliver, N., Curless, B., and Salesin, D. H. 2001. Image analogies. In Proceedings of the SIGGRAPH’01 Conference. Google ScholarDigital Library
Igarashi, T., Moscovich, T., and Hughes, J. F. 2005. As-Rigid-As-Possible shape manipulation. ACM Trans. Graph. 24, 3. Google ScholarDigital Library
Kazhdan, M., Chazelle, B., Dobkin, D., Finkelstein, A., and Funkhouser, T. 2002. A reflective symmetry descriptor. In Proceedings of the European Conference on Computer Vision (ECCV’02). Google ScholarDigital Library
Kazhdan, M., Chazelle, B., Dobkin, D., Funkhouser, T., and Rusinkiewicz, S. 2003. A reflective symmetry descriptor for 3D models. Algorithmica. Google ScholarDigital Library
Kazhdan, M., Funkhouser, T., and Rusinkiewicz, S. 2004. Symmetry descriptors and 3D shape matching. In Proceedings of the Symposium on Geometry Processing (SGP’04). Google ScholarDigital Library
Kelly, M. F. and Levine, M. D. 1995. Annular symmetry operators: A method for locating and describing objects. In Proceedings of the International Conference on Computer Vision (ICCV’95). Google ScholarDigital Library
Kwatra, V., Essa, I., Bobick, A., and Kwatra, N. 2005. Texture optimization for example-based synthesis. In Proceedings of the SIGGRAPH’05 Conference. Google ScholarDigital Library
Kwatra, V., Schödl, A., Essa, I., Turk, G., and Bobick, A. 2003. Graphcut textures: Image and video synthesis using graph cuts. In Proceedings of the SIGGRAPH’03 Conference. Google ScholarDigital Library
Leung, T. and Malik, J. 1996. Detecting localizing and grouping repeated scene elements from an image. In Proceedings of the European Conference on Computer Vision (ECCV’96). Google ScholarDigital Library
Lewis, C. 2012. http://www.flickr.com/photos/cloois/17435429/.Google Scholar
Liu, Y., Lin, W.-C., and Hays, J. H. 2004. Near regular texture analysis and manipulation. ACM Trans. Graph. 23, 1. Google ScholarDigital Library
Matusik, W., Zwicker, M., and Durand, F. 2005. Texture design using a simplicial complex of morphable textures. In Proceedings of the SIGGRAPH’05 Conference. Google ScholarDigital Library
Mitra, N. J., Guibas, L., and Pauly, M. 2007. Symmetrization. In Proceedings of the SIGGRAPH’07 Conference. Google ScholarDigital Library
Park, M., Brocklehurst, K., Collins, R. T., and Liu, Y. 2009. Deformed lattice detection in real-world images using mean-shift belief propagation. IEEE Trans. Pattern Anal. Mach. Intell. Google ScholarDigital Library
Pauly, M., Mitra, N. J., Wallner, J., Pottmann, H., and Guibas, L. 2008. Discovering structural regularity in 3D geometry. ACM Trans. Graph. 27. Google ScholarDigital Library
Perivolaris, J. 2012. http://www.flickr.com/photos/dr_john2005/211195030/.Google Scholar
Podolak, J., Shilane, P., Golovinskiy, A., Rusinkiewicz, S., and Funkhouser, T. 2006. A planar-reflective symmetry transform for 3D shapes. In Proceedings of the SIGGRAPH’06 Conference. Google ScholarDigital Library
Portilla, J. and Simoncelli, E. P. 2000. A parametric texture model based on joint statistics of complex wavelet coefficients. Int. J. Comput. Vis. Google ScholarDigital Library
Reisfeld, D., Wolfson, H., and Yeshurun, Y. 1995. Context-Free attentional operators: The generalized symmetry transform. Int. J. Comput. Vis. Google ScholarDigital Library
Shallowend24401. 2012. http://www.flickr.com/photos/shallowend24401/295133809/.Google Scholar
Snappa2006. 2012. http://www.flickr.com/photos/snappa2006/2106318872/.Google Scholar
Tsai, R. Y. 1986. An efficient and accurate camera calibration technique for 3D machine vision. In Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR’86).Google Scholar
Turina, A., Tuytelaars, T., and Gool, L. V. 2001. Efficient grouping under perspective skew. In Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR’01).Google Scholar
Wei, L.-Y., Lefebvre, S., Kwatra, V., and Turk, G. 2009. State of the art in example-based texture synthesis. Eurographics State of the Art report.Google Scholar
Wei, L.-Y. and Levoy, M. 2000. Fast texture synthesis using tree-structured vector quantization. In Proceedings of the SIGGRAPH’00 Conference. Google ScholarDigital Library
Xu, K., Cohne-Or, D., Ju, T., Liu, L., Zhang, H., Zhou, S., and Xiong, Y. 2009. Feature-Aligned shape texturing. In Proceedings of the SIGGRAPH’09 Asia Conference. Google ScholarDigital Library
Zabrodsky, H., Peleg, S., and Avnir, D. 1995. Symmetry as a continuous feature. IEEE Trans. Pattern Anal. Mach. Intell. 17, 12. Google ScholarDigital Library