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We present a new method for the analysis of images, a fundamental task in observational astronomy. It is based on the linear decomposition of each object in the image into a series of localised basis functions of different shapes, which we…

Astrophysics · Physics 2008-11-26 Alexandre Refregier

We present Generalized Histogram Thresholding (GHT), a simple, fast, and effective technique for histogram-based image thresholding. GHT works by performing approximate maximum a posteriori estimation of a mixture of Gaussians with…

Computer Vision and Pattern Recognition · Computer Science 2020-08-20 Jonathan T. Barron

This paper introduces premier and innovative (real-time) multi-scale method for target classification in electro-sensing. The intent is that of mimicking the behavior of the weakly electric fish, which is able to retrieve much more…

Numerical Analysis · Mathematics 2020-06-09 Lorenzo Baldassari , Andrea Scapin

Task inharmony problem commonly occurs in modern object detectors, leading to inconsistent qualities between classification and regression tasks. The predicted boxes with high classification scores but poor localization positions or low…

Computer Vision and Pattern Recognition · Computer Science 2024-08-06 Long Huang , Zhiwei Dong , Song-Lu Chen , Ruiyao Zhang , Shutong Ti , Feng Chen , Xu-Cheng Yin

The thesis concentrates on two problems in discrete geometry, whose solutions are obtained by analytic, probabilistic and combinatoric tools. The first chapter deals with the strong polarization problem. This states that for any sequence…

Metric Geometry · Mathematics 2019-07-12 Gergely Ambrus

Few-shot object detection, learning to adapt to the novel classes with a few labeled data, is an imperative and long-lasting problem due to the inherent long-tail distribution of real-world data and the urgent demands to cut costs of data…

Computer Vision and Pattern Recognition · Computer Science 2021-11-02 Leng Jiaxu , Chen Taiyue , Gao Xinbo , Yu Yongtao , Wang Ye , Gao Feng , Wang Yue

Convexity prior is one of the main cue for human vision and shape completion with important applications in image processing, computer vision. This paper focuses on characterization methods for convex objects and applications in image…

Computer Vision and Pattern Recognition · Computer Science 2022-10-05 Shousheng Luo , Jinfeng Chen , Yunhai Xiao , Xue-Cheng Tai

We study geodesic equations for a family of right-invariant Riemannian metrics on the group of diffeomorphisms of a compact manifold. The metrics descend to Fisher's information metric on the space of smooth probability densities. The right…

Mathematical Physics · Physics 2014-03-03 Klas Modin

In the realm of intelligent maritime navigation, object detection from a shipborne perspective is paramount. Despite the criticality, the paucity of maritime-specific data impedes the deployment of sophisticated visual perception…

Computer Vision and Pattern Recognition · Computer Science 2025-05-14 Yu Zhang , Fengyuan Liu , Juan Lyu , Yi Wei , Changdong Yu

The generalized density matrix (GDM) method is used to calculate microscopically the parameters of the collective Hamiltonian. Higher order anharmonicities are obtained consistently with the lowest order results, the mean field…

Nuclear Theory · Physics 2011-09-23 L. Y. Jia

Consider pairs of the form (G, N), with G a group and N \normal G, as objects of a category \PG. A morphism (G_1, N_1) \To (G_2, N_2) will be a group homomorphism f : G_1 \To G_2 such that f(N_1) \subset N_2. We introduce a functor Q : \PG…

Group Theory · Mathematics 2007-05-23 William Gordon Ritter

The generalized pseudopotential theory (GPT) is a powerful method for deriving real-space transferable interatomic potentials. Using a coarse-grained electronic structure, one can explicitly calculate the pair ion-ion and multi-ion…

Materials Science · Physics 2019-06-26 Guy C. G. Skinner , John A. Moriarty , Anthony T. Paxton

A numerical algorithm for studying strongly correlated electron systems is proposed. The groundstate wavefunction is projected out after numerical renormalization procedure in the path integral formalism. The wavefunction is expressed from…

Strongly Correlated Electrons · Physics 2007-05-23 Masatoshi Imada , Tsuyoshi Kashima

Camouflaged object detection (COD) aims to identify targets that are highly blended with their backgrounds. Recent works have shown that the optical characteristics of polarization cues play a significant role in improving camouflaged…

Computer Vision and Pattern Recognition · Computer Science 2026-04-02 QIfan Zhang , Hao Wang , Xiangrong Qin , Ruijie Li

In computer vision, finding point correspondence among images plays an important role in many applications, such as image stitching, image retrieval, visual localization, etc. Most of the research worksfocus on the matching of local feature…

Computer Vision and Pattern Recognition · Computer Science 2022-11-08 Yueh-Cheng Huang , Ching-Huai Yang , Chen-Tao Hsu , Jen-Hui Chuang

New efficient source feature compression solutions are proposed based on a two-stage Walsh-Hadamard Transform (WHT) for Convolutional Neural Network (CNN)-based object classification in underwater robotics. The object images are firstly…

Computer Vision and Pattern Recognition · Computer Science 2021-12-30 Xueyuan Zhao , Mehdi Rahmati , Dario Pompili

In this paper, we first propose a unified framework for analyzing the stability of the phaseless operators for both amplitude and intensity measurement on an arbitrary geometric set, thereby characterizing the robust performance of phase…

Information Theory · Computer Science 2026-05-11 Gao Huang , Song Li

We would like to present a comprehensive study on the classification of iron ore pellets, aimed at identifying quality violations in the final product, alongside the development of an innovative imagebased measurement method utilizing the…

Computer Vision and Pattern Recognition · Computer Science 2025-06-16 Artem Solomko , Oleg Kartashev , Andrey Golov , Mikhail Deulin , Vadim Valynkin , Vasily Kharin

In this paper, we introduce several geometric characterizations for strong minima of optimization problems. Applying these results to nuclear norm minimization problems allows us to obtain new necessary and sufficient quantitative…

Optimization and Control · Mathematics 2023-08-21 Jalal Fadili , Tran T. A. Nghia , Duy Nhat Phan

Composite minimization is a powerful framework in large-scale convex optimization, based on decoupling of the objective function into terms with structurally different properties and allowing for more flexible algorithmic design. We…

Optimization and Control · Mathematics 2023-02-17 Jelena Diakonikolas , Cristóbal Guzmán