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Accurately measuring the geometry and spatially-varying reflectance of real-world objects is a complex task due to their intricate shapes formed by concave features, hollow engravings and diverse surfaces, resulting in inter-reflection and…

Computer Vision and Pattern Recognition · Computer Science 2024-12-16 Jing Yang , Pratusha Bhuvana Prasad , Qing Zhang , Yajie Zhao

Rotational symmetry is a defining feature of many tomography systems, including computed tomography (CT) and emission computed tomography (ECT), where detectors are arranged in a circular or periodically rotating configuration. This study…

Medical Physics · Physics 2025-02-05 Yaogong Zhang , Fang-Fang Yin , Lei Zhang

Cross-modal place recognition methods are flexible GPS-alternatives under varying environment conditions and sensor setups. However, this task is non-trivial since extracting consistent and robust global descriptors from different…

Computer Vision and Pattern Recognition · Computer Science 2025-03-18 Yun-Jin Li , Mariia Gladkova , Yan Xia , Rui Wang , Daniel Cremers

Brain lesions, including stroke and tumours, have a high degree of variability in terms of location, size, intensity and form, making automatic segmentation difficult. We propose an improvement to existing segmentation methods by exploiting…

Image and Video Processing · Electrical Eng. & Systems 2019-07-22 Kevin Raina , Uladzimir Yahorau , Tanya Schmah

Symmetry detection, especially partial and extrinsic symmetry, is essential for various downstream tasks, like 3D geometry completion, segmentation, compression and structure-aware shape encoding or generation. In order to detect partial…

Computer Vision and Pattern Recognition · Computer Science 2023-12-14 Gregor Kobsik , Isaak Lim , Leif Kobbelt

We introduce a new rotationally invariant viewing angle classification method for identifying, among a large number of Cryo-EM projection images, similar views without prior knowledge of the molecule. Our rotationally invariant features are…

Biomolecules · Quantitative Biology 2014-03-19 Zhizhen Zhao , Amit Singer

A cornerstone of geometric reconstruction, rotation averaging seeks the set of absolute rotations that optimally explains a set of measured relative orientations between them. In addition to being an integral part of bundle adjustment and…

Computer Vision and Pattern Recognition · Computer Science 2024-06-28 Gabriel Moreira , Manuel Marques , João Paulo Costeira

Object detection is a fundamental task in computer vision and has many applications in image processing. This paper proposes a new approach for object detection by applying scale invariant feature transform (SIFT) in an automatic…

Computer Vision and Pattern Recognition · Computer Science 2012-10-29 Reza Oji , Farshad Tajeripour

In this paper we present a new iterative projection method for finding the closest point in the intersection of convex sets to any arbitrary point in a Hilbert space. This method, termed AAMR for averaged alternating modified reflections,…

Optimization and Control · Mathematics 2017-09-06 Francisco J. Aragón Artacho , Rubén Campoy

Line segment detection plays a cornerstone role in computer vision tasks. Among numerous detection methods that have been recently proposed, the ones based on edge drawing attract increasing attention owing to their excellent detection…

Computer Vision and Pattern Recognition · Computer Science 2023-05-11 Xinyu Lin , Yingjie Zhou , Yipeng Liu , Ce Zhu

We introduce associative embedding, a novel method for supervising convolutional neural networks for the task of detection and grouping. A number of computer vision problems can be framed in this manner including multi-person pose…

Computer Vision and Pattern Recognition · Computer Science 2017-06-12 Alejandro Newell , Zhiao Huang , Jia Deng

Symmetries are ubiquitous across all kinds of objects, whether in nature or in man-made creations. While these symmetries may seem intuitive to the human eye, detecting them with a machine is nontrivial due to the vast search space.…

Computer Vision and Pattern Recognition · Computer Science 2024-10-07 Jihyeon Je , Jiayi Liu , Guandao Yang , Boyang Deng , Shengqu Cai , Gordon Wetzstein , Or Litany , Leonidas Guibas

A wide range of system models in modern robotics and avionics applications admit natural symmetries. Such systems are termed equivariant and the structure provided by the symmetry is a powerful tool in the design of observers. Significant…

Systems and Control · Electrical Eng. & Systems 2020-09-01 Robert Mahony , Tarek Hamel , Jochen Trumpf

In this position paper, we consider the state of computer vision research with respect to invariance to the horizontal orientation of an image -- what we term reflection invariance. We describe why we consider reflection invariance to be an…

Computer Vision and Pattern Recognition · Computer Science 2015-06-09 Craig Henderson , Ebroul Izquierdo

This paper introduces a novel line segment detector, the Aligned Anchor Groups guided Line Segment Detector (AAGLSD), designed to detect line segments from images with high precision and completeness. The algorithm employs a hierarchical…

Computer Vision and Pattern Recognition · Computer Science 2026-01-01 Zeyu Li , Annan Shu

Symmetry is at the heart of much of mathematics, physics, and art. Traditional geometric symmetry groups are defined in terms of isometries of the ambient space of a shape or pattern. If we slightly generalize this notion to allow the…

Metric Geometry · Mathematics 2025-09-18 Robert A. Hearn , William Kretschmer , Tomas Rokicki , Benjamin Streeter , Eric Vergo

Although heatmap regression is considered a state-of-the-art method to locate facial landmarks, it suffers from huge spatial complexity and is prone to quantization error. To address this, we propose a novel attentive one-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2020-08-28 Shi Yin , Shangfei Wang , Xiaoping Chen , Enhong Chen

Random operators constitute fundamental building blocks of models of complex systems yet are far from fully understood. Here, we explain an asymmetry emerging upon repeating identical isotropic (uniformly random) operations. Specifically,…

Statistical Mechanics · Physics 2021-06-03 Malte Schröder , Marc Timme

Group equivariance can overly constrain models if the symmetries in the group differ from those observed in data. While common methods address this by determining the appropriate level of symmetry at the dataset level, they are limited to…

Computer Vision and Pattern Recognition · Computer Science 2024-07-04 Alonso Urbano , David W. Romero

Existing RGB-based 2D hand pose estimation methods learn the joint locations from a single resolution, which is not suitable for different hand sizes. To tackle this problem, we propose a new deep learning-based framework that consists of…

Computer Vision and Pattern Recognition · Computer Science 2021-05-25 Ikram Kourbane , Yakup Genc