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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…

计算机视觉与模式识别 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

图形学 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

代数拓扑 · 数学 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…

图像与视频处理 · 电气工程与系统科学 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…

计算机视觉与模式识别 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

机器人学 · 计算机科学 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…

计算几何 · 计算机科学 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…

数据结构与算法 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 2017-07-25 Mohamed Elawady , Christophe Ducottet , Olivier Alata , Cecile Barat , Philippe Colantoni
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