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Symmetry plays a vital role in understanding structural patterns, aiding object recognition and scene interpretation. This paper focuses on rotation symmetry, where objects remain unchanged when rotated around a central axis, requiring…

Computer Vision and Pattern Recognition · Computer Science 2025-03-28 Ahyun Seo , Minsu Cho

In this paper we observe that information theoretical concepts are valuable tools for extracting information from images and, in particular, information on image symmetries. It is shown that the problem of detecting reflectional and…

Computer Vision and Pattern Recognition · Computer Science 2017-03-14 Agata Migalska , JP Lewis

Symmetry detection and discrimination are of fundamental meaning in science, technology, and engineering. This paper introduces reflection invariants and defines the directional moment to detect symmetry for shape analysis and object…

Computer Vision and Pattern Recognition · Computer Science 2017-06-02 Erbo Li , Hua Li

Image representation is an important topic in computer vision and pattern recognition. It plays a fundamental role in a range of applications towards understanding visual contents. Moment-based image representation has been reported to be…

Computer Vision and Pattern Recognition · Computer Science 2021-11-25 Shuren Qi , Yushu Zhang , Chao Wang , Jiantao Zhou , Xiaochun Cao

In geometry processing, symmetry is a universal type of high-level structural information of 3D models and benefits many geometry processing tasks including shape segmentation, alignment, matching, and completion. Thus it is an important…

Graphics · Computer Science 2021-09-15 Lin Gao , Ling-Xiao Zhang , Hsien-Yu Meng , Yi-Hui Ren , Yu-Kun Lai , Leif Kobbelt

Automated symmetry detection is still a difficult task in 2021. However, it has applications in computer vision, and it also plays an important part in understanding art. This paper focuses on aiding the latter by comparing different…

Computer Vision and Pattern Recognition · Computer Science 2022-01-19 Koen Ponse , Anna V. Kononova , Maria Loleyt , Bas van Stein

The performance of modern object detectors drops when the test distribution differs from the training one. Most of the methods that address this focus on object appearance changes caused by, e.g., different illumination conditions, or gaps…

Computer Vision and Pattern Recognition · Computer Science 2023-01-16 Vidit Vidit , Martin Engilberge , Mathieu Salzmann

Pose estimation is a widely explored problem, enabling many robotic tasks such as grasping and manipulation. In this paper, we tackle the problem of pose estimation for objects that exhibit rotational symmetry, which are common in man-made…

Computer Vision and Pattern Recognition · Computer Science 2018-10-16 Enric Corona , Kaustav Kundu , Sanja Fidler

Symmetry is an important composition feature by investigating similar sides inside an image plane. It has a crucial effect to recognize man-made or nature objects within the universe. Recent symmetry detection approaches used a smoothing…

Computer Vision and Pattern Recognition · Computer Science 2017-04-24 Mohamed Elawady , Olivier Alata , Christophe Ducottet , Cecile Barat , Philippe Colantoni

Symmetry is a key feature observed in nature (from flowers and leaves, to butterflies and birds) and in human-made objects (from paintings and sculptures, to manufactured objects and architectural design). Rotational, translational, and…

Computer Vision and Pattern Recognition · Computer Science 2019-08-28 Felice De Luca , Md Iqbal Hossain , Stephen Kobourov

Symmetry is a fundamental concept that has been extensively studied, yet detecting it in complex scenes remains a significant challenge in computer vision. Recent heatmap-based approaches can localize potential regions of symmetry axes but…

Computer Vision and Pattern Recognition · Computer Science 2025-10-16 Wongyun Yu , Ahyun Seo , Minsu Cho

Symmetry is ubiquitous throughout nature and can often give great insights into the formation, structure and stability of objects studied by mathematicians, physicists, chemists and biologists. However, perfect symmetry occurs rarely so…

Algebraic Topology · Mathematics 2023-08-21 Nicholas Bermingham , Vanessa Robins , Katharine Turner

This paper presents a method for improved analysis of objects with an axial symmetry using X-ray Computed Tomography (CT). Cylindrical coordinates about an axis fixed to the object form the most natural base to check certain characteristics…

Image and Video Processing · Electrical Eng. & Systems 2020-10-06 Wannes Goethals , Marjolein Heyndrickx , Matthieu Boone

Many man-made objects are characterised by a shape that is symmetric along one or more planar directions. Estimating the location and orientation of such symmetry planes can aid many tasks such as estimating the overall orientation of an…

Computer Vision and Pattern Recognition · Computer Science 2021-07-01 Mihaela Cătălina Stoian , Tommaso Cavallari

Correctly capturing the symmetry transformations of data can lead to efficient models with strong generalization capabilities, though methods incorporating symmetries often require prior knowledge. While recent advancements have been made…

Objects with symmetries are common in our daily life and in industrial contexts, but are often ignored in the recent literature on 6D pose estimation from images. In this paper, we study in an analytical way the link between the symmetries…

Computer Vision and Pattern Recognition · Computer Science 2019-08-22 Giorgia Pitteri , Michaël Ramamonjisoa , Slobodan Ilic , Vincent Lepetit

This paper proposes a new approach to detecting grasp points on novel objects presented in clutter. The input to our algorithm is a point cloud and the geometric parameters of the robot hand. The output is a set of hand configurations that…

Robotics · Computer Science 2015-04-30 Andreas ten Pas , Robert Platt

We present a fast algorithm for global rigid symmetry detection with approximation guarantees. The algorithm is guaranteed to find the best approximate symmetry of a given shape, to within a user-specified threshold, with very high…

Computational Geometry · Computer Science 2016-09-20 Simon Korman , Roee Litman , Shai Avidan , Alex Bronstein

Symmetry is an important aesthetic criteria in graph drawing and network visualisation. Symmetric graph drawings aim to faithfully represent automorphisms of graphs as geometric symmetries in a drawing. In this paper, we design and…

Data Structures and Algorithms · Computer Science 2019-10-14 Amyra Meidiana , Seok-Hee Hong , Peter Eades , Daniel Keim

Symmetry is one of the significant visual properties inside an image plane, to identify the geometrically balanced structures through real-world objects. Existing symmetry detection methods rely on descriptors of the local image features…

Computer Vision and Pattern Recognition · Computer Science 2017-07-25 Mohamed Elawady , Christophe Ducottet , Olivier Alata , Cecile Barat , Philippe Colantoni
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