Tilings and patterns
On the Detection of the Axes of Symmetry of Symmetric and Almost Symmetric Planar Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
3-D Reconstruction Using Mirror Images Based on a Plane Symmetry Recovering Method
IEEE Transactions on Pattern Analysis and Machine Intelligence
Shape from texture and contour by weak isotropy
Artificial Intelligence
Artificial Intelligence - Special volume on computer vision
Comments on "Symmetry as a Continuous Feature"
IEEE Transactions on Pattern Analysis and Machine Intelligence
3D Symmetry Detection Using The Extended Gaussian Image
IEEE Transactions on Pattern Analysis and Machine Intelligence
Using bilateral symmetry to improve 3D reconstruction from image sequences
Computer Vision and Image Understanding
Computing Local Surface Orientation and Shape from Texture forCurved Surfaces
International Journal of Computer Vision
Detecting Symmetry in Grey Level Images: The Global Optimization Approach
International Journal of Computer Vision
International Journal of Computer Vision
Mean Shift: A Robust Approach Toward Feature Space Analysis
IEEE Transactions on Pattern Analysis and Machine Intelligence
Motion and Structure from Image Sequences
Motion and Structure from Image Sequences
Symmetry as a Continuous Feature
IEEE Transactions on Pattern Analysis and Machine Intelligence
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume I - Volume I
Characterizing the Stability of 3D Invariants Derived from 3D Translational Symmetry
ACCV '95 Invited Session Papers from the Second Asian Conference on Computer Vision: Recent Developments in Computer Vision
Geometric Saliency of Curve Correspondances and Grouping of Symmetric Comntours
ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume I - Volume I
On Perpendicular Texture: Why do we see more flowers in the distance?
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
Mirror and Point Symmetry under Perspective Skewing
CVPR '96 Proceedings of the 1996 Conference on Computer Vision and Pattern Recognition (CVPR '96)
HLK '03 Proceedings of the First IEEE International Workshop on Higher-Level Knowledge in 3D Modeling and Motion Analysis
Geometric Segmentation of Perspective Images Based on Symmetry Groups
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
An Invitation to 3-D Vision: From Images to Geometric Models
An Invitation to 3-D Vision: From Images to Geometric Models
Least-squares 3D reconstruction from one or more views and geometric clues
Computer Vision and Image Understanding
Symmetry-based 3-D reconstruction from perspective images
Computer Vision and Image Understanding
Symmetric architecture modeling with a single image
ACM SIGGRAPH Asia 2009 papers
Least-squares 3D reconstruction from one or more views and geometric clues
Computer Vision and Image Understanding
Symmetry-based 3-D reconstruction from perspective images
Computer Vision and Image Understanding
Planar catadioptric stereo: single and multi-view geometry for calibration and localization
ICRA'09 Proceedings of the 2009 IEEE international conference on Robotics and Automation
Pattern Recognition
Efficient symmetry detection using local affine frames
SCIA'07 Proceedings of the 15th Scandinavian conference on Image analysis
3D modeling with a symmetric sketch
Proceedings of the Eighth Eurographics Symposium on Sketch-Based Interfaces and Modeling
Reconstructing symmetric curved surfaces from a single image and its application
VSMM'06 Proceedings of the 12th international conference on Interactive Technologies and Sociotechnical Systems
Detecting symmetry and symmetric constellations of features
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part II
Detecting and reconstructing 3d mirror symmetric objects
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part II
Shadow-Free TILT for facade rectification
ACCV'12 Proceedings of the 11th Asian conference on Computer Vision - Volume Part IV
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In this paper, we provide a principled explanation of how knowledge in global 3-D structural invariants, typically captured by a group action on a symmetric structure, can dramatically facilitate the task of reconstructing a 3-D scene from one or more images. More importantly, since every symmetric structure admits a “canonical” coordinate frame with respect to which the group action can be naturally represented, the canonical pose between the viewer and this canonical frame can be recovered too, which explains why symmetric objects (e.g., buildings) provide us overwhelming clues to their orientation and position. We give the necessary and sufficient conditions in terms of the symmetry (group) admitted by a structure under which this pose can be uniquely determined. We also characterize, when such conditions are not satisfied, to what extent this pose can be recovered. We show how algorithms from conventional multiple-view geometry, after properly modified and extended, can be directly applied to perform such recovery, from all “hidden images” of one image of the symmetric structure. We also apply our results to a wide range of applications in computer vision and image processing such as camera self-calibration, image segmentation and global orientation, large baseline feature matching, image rendering and photo editing, as well as visual illusions (caused by symmetry if incorrectly assumed).