Portrait of A Computational Model for Repeated Pattern Perception using Crystallographic Groups
Head: Yanxi Liu
Contact: Yanxi Liu
Last Project Publication Year: 2008

What do you see when you look at a regularly textured surface? Do you see tiles or do you see structures? This project is developing a computational model for repeated pattern perception that is able to automatically classify a given pattern into one of the 7 frieze groups, one of the 17 wallpaper groups, or one of the 230 space groups. It can also automatically generate a finite set of possible tiles (based on our theoretical proofs). Furthermore, we study repeated patterns under different viewing directions to find out what happens to a periodic pattern when it is deformed by Affine or perspective transformations. We are also exploring texture replacement in real images and texture synthesis.

This project is funded by NSF grant No. IIS-0099597

Displaying 11 Publications
Detecting and Matching Repeated Patterns for Automatic Geo-tagging in Urban Environments
Grant Schindler, Panchapagesan Krishnamurthy, Roberto Lublinerman, Yanxi Liu and Frank Dellaert
Conference Paper, Proceedings of (CVPR) Computer Vision and Pattern Recognition, June, 2008
Image De-fencing
Yanxi Liu, Tamara Belkina, James H. Hays and Roberto Lublinerman
Conference Paper, Proceedings of (CVPR) Computer Vision and Pattern Recognition, June, 2008
Conference Paper, Proceedings of (CVPR) Computer Vision and Pattern Recognition, June, 2007
Conference Paper, Proceedings of (ECCV) European Conference on Computer Vision, pp. 657 - 671, May, 2002
Tech. Report, CMU-RI-TR-01-38, Robotics Institute, Carnegie Mellon University, December, 2001
Skewed Symmetry Groups
Yanxi Liu and Robert Collins
Conference Paper, Proceedings of (CVPR) Computer Vision and Pattern Recognition, pp. 872 - 879, December, 2001
Texture Replacement in Real Images
Yanghai Tsin, Yanxi Liu and Visvanathan Ramesh
Conference Paper, Proceedings of (CVPR) Computer Vision and Pattern Recognition, pp. 539 - 544, December, 2001
Workshop Paper, 2nd International Workshop on Algebraic Frames for the Perception Action Cycle (AFPAC '00), pp. 241 - 250, September, 2000
Conference Paper, Proceedings of (CVPR) Computer Vision and Pattern Recognition, Vol. 1, pp. 537 - 544, June, 2000
Tech. Report, CMU-RI-TR-00-08, Robotics Institute, Carnegie Mellon University, April, 2000
Tech. Report, CMU-RI-TR-98-37, Robotics Institute, Carnegie Mellon University, July, 1998

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