/A Computational Model for Repeated Pattern Perception using Crystallographic Groups

A Computational Model for Repeated Pattern Perception using Crystallographic Groups

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 2008, June, 2008
Image De-fencing
Yanxi Liu, Tamara Belkina, James H. Hays and Roberto Lublinerman

Conference Paper, Proceedings of CVPR 2008, June, 2008
Shape Variation-based Frieze Pattern for Robust Gait Recognition
S. Lee, Yanxi Liu and Robert Collins

Conference Paper, Proceedings of CVPR 2007, June, 2007
Gait Sequence Analysis using Frieze Patterns
Yanxi Liu, Robert Collins and Yanghai Tsin

Conference Paper, Proceedings of the 7th European Conference on Computer Vision (ECCV'02), May, 2002
Gait Sequence Analysis using Frieze Patterns
Yanxi Liu, Robert Collins and Yanghai Tsin

Tech. Report, CMU-RI-TR-01-38, Robotics Institute, Carnegie Mellon University, CMU-RI technical report, December, 2001
Skewed Symmetry Groups
Yanxi Liu and Robert Collins

Conference Paper, IEEE Conference on Computer Vision and Pattern Recognition, Vol. 1, pp. 872 - 879, December, 2001
Texture Replacement in Real Images
Yanghai Tsin, Yanxi Liu and Visvanathan Ramesh

Conference Paper, IEEE Conference on Computer Vision and Pattern Recognition, Vol. 2, pp. 539 - 544, December, 2001
A Computational Model for Repeated Pattern Perception using Frieze and Wallpaper Groups
Yanxi Liu and Robert Collins

Conference Paper, 2000 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR 2000), Vol. 1, pp. 537 - 544, June, 2000
A Computational Model for Repeated Pattern Perception using Frieze and Wallpaper Groups
Yanxi Liu and Robert Collins

Tech. Report, CMU-RI-TR-00-08, Robotics Institute, Carnegie Mellon University, April, 2000
Periodic Pattern Analysis Under Affine Distortions Using Wallpaper Groups
Yanxi Liu and Robert Collins

Conference Paper, 2nd International Workshop on Algebraic Frames for the Perception Action Cycle (AFPAC), Lecture Notes in Computer Science 1888, pp. 241 - 250, January, 2000
Frieze and Wallpaper Symmetry Groups Classification under Affine and Perspective Distortion
Yanxi Liu and Robert Collins

Tech. Report, CMU-RI-TR-98-37, Robotics Institute, Carnegie Mellon University, July, 1998

Past Project People

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