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Curved (Glide) Reflection Symmetry Detection

Members: Jingchen Liu and Yanxi Liu

Past Members: Seungkyu Lee

Teaser


Curved Reflection Symmetry Detection with Self-validation

[PDF][Bibtex][Poster]

Abstract

We propose a novel approach with self-validation for detecting curved reflection symmetry patterns from real, unsegmented images. Our method benefits from the observation that any curved symmetry patterns can be approximated by a sequence of piecewise rigid reflection patterns. Pairs of symmetric feature points are first detected (including both inliers and outliers) and treated as `particles'. Multiple hypothesis sampling and pruning are used to sample a smooth path going through inlier particles and recover the curved reflection axis. Our approach generates explicit supporting region of the curved reflection symmetry and has the ability for intermediate self-validation, which make the detection more robust in comparison to the state-of-art algorithm. Experimental results on 200+ images demonstrate the effectiveness of the proposed approach.

Framework

Teaser
The framework of our approach: (A)input image; (B)detected SIFT feature points marked as pink dots and successfully matched feature point pairs connected using green dashed lines; (C)representing feature points pairs as yellow particles with red short lines indicating the directions of potential reflection symmetry axis; (D)Maximally connected components in particle pairwise consistency graph G; (E)Sampled optimal path from G; (F)Rectified region via TPS warping.

Citation

Paper thumbnail Jingchen Liu and Yanxi Liu. Curved Reflection Symmetry Detection with Self-validation, The 10th Asian Conference on Computer Vision, 2010. [PDF][Bibtex][Poster]


 

 

Curved Glide-Reflection Symmetry Detection

[PDF]

Abstract

We generalize reflection symmetry detection to a curved glide-reflection symmetry detection problem. We propose a unifying, local feature-based approach for curved glidereflection symmetry detection from real, unsegmented images, where the classic reflection symmetry becomes one of four special cases. Our method detects and groups statistically dominant local reflection axes in a 3D parameter space. A curved glide-reflection symmetry axis is estimated by a set of contiguous local straight reflection axes. Experimental results of the proposed algorithm on 40 real world images demonstrate promising performance.
Teaser


Citation

Paper thumbnail
Seungkyu Lee and Yanxi Liu. Curved Glide-Reflection Symmetry Detection, Computer Vision and Pattern Recognition (CVPR), 2009 (oral paper). [PDF]
Seungkyu Lee and Yanxi Liu. Curved Glide-Reflection Symmetry Detection, Pattern Analysis and Machine Intelligence (PAMI), 2012. [PDF]


 

 

Datasets and Results


Leaf dataset 1 Leaf dataset 1[Download 8M ]
Leaf dataset 2 Leaf dataset 2[Download 32M ]
Spine Xray dataset Spine Xray dataset [Download 1M ]
PAMI2012 Dataset: [reflection], [glide reflection], [curved reflection], [curved glide reflection]
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