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We present a novel, deterministic, and efficient method to detect whether a given rational space curve is symmetric. By using well-known differential invariants of space curves, namely the curvature and torsion, the method is significantly…

Algebraic Geometry · Mathematics 2016-04-12 Juan Gerardo Alcázar , Carlos Hermoso , Georg Muntingh

We investigate the discrepancy principle for choosing smoothing parameters for kernel density estimation. The method is based on the distance between the empirical and estimated distribution functions. We prove some new positive and…

Statistics Theory · Mathematics 2015-03-19 Thoralf Mildenberger

Symmetries are a key concept to connect mathematical elegance with physical insight. We consider measurement assemblages in quantum mechanics and show how their symmetry can be described by means of the so-called discrete bundles. It turns…

Quantum Physics · Physics 2020-03-30 H. Chau Nguyen , Sébastien Designolle , Mohamed Barakat , Otfried Gühne

Retrieving similar images from a large dataset based on the image content has been a very active research area and is a very challenging task. Studies have shown that retrieving similar images based on their shape is a very effective…

Computer Vision and Pattern Recognition · Computer Science 2014-06-17 Jamil Ahmad , Zahoor Jan , Zia-ud-Din , Shoaib Muhammad Khan

Recently, sparsity-based algorithms are proposed for super-resolution spectrum estimation. However, to achieve adequately high resolution in real-world signal analysis, the dictionary atoms have to be close to each other in frequency,…

Machine Learning · Statistics 2015-06-05 Yiyuan She , Huanghuang Li , Jiangping Wang , Dapeng Wu

In Computer Vision, problem of identifying or classifying the objects present in an image is called Object Categorization. It is a challenging problem, especially when the images have clutter background, occlusions or different lighting…

Computer Vision and Pattern Recognition · Computer Science 2016-04-26 Jyothi Korra

Advances in vectorial polarisation-resolved imaging are bringing new capabilities to applications ranging from fundamental physics through to clinical diagnosis. Imaging polarimetry requires determination of the Mueller matrix (MM) at every…

The topological information of a network can be retrieved equivalently from its complement consisting of the same nodes but complementary edges. Hence the partition of a network into certain substructures based on given criteria should be…

Physics and Society · Physics 2009-08-07 Jiao Wang , C. -H. Lai

While object semantic understanding is essential for most service robotic tasks, 3D object classification is still an open problem. Learning from artificial 3D models alleviates the cost of annotation necessary to approach this problem, but…

Computer Vision and Pattern Recognition · Computer Science 2021-03-11 Jean-Baptiste Weibel , Timothy Patten , Markus Vincze

A procedure based on a Mixture Density Model for correcting experimental data for distortions due to finite resolution and limited detector acceptance is presented. Addressing the case that the solution is known to be non-negative, in the…

Data Analysis, Statistics and Probability · Physics 2015-03-09 Nikolai Gagunashvili

Symmetry-informed machine learning can exhibit advantages over machine learning which fails to account for symmetry. In the context of continuous symmetry detection, current state of the art experiments are largely limited to detecting…

Machine Learning · Statistics 2025-11-13 Ben Shaw , Sasidhar Kunapuli , Abram Magner , Kevin R. Moon

With the emergence of passive and active optical sensors available for geospatial imaging, information fusion across sensors is becoming ever more important. An important aspect of single (or multiple) sensor geospatial image analysis is…

Computer Vision and Pattern Recognition · Computer Science 2016-07-19 Saurabh Prasad , Minshan Cui , Lifeng Yan

This paper presents a Bayesian algorithm for linear spectral unmixing of hyperspectral images that accounts for anomalies present in the data. The model proposed assumes that the pixel reflectances are linear mixtures of unknown endmembers,…

Methodology · Statistics 2015-10-06 Yoann Altmann , Steve McLaughlin , Alfred Hero

Most camera lens systems are designed in isolation, separately from downstream computer vision methods. Recently, joint optimization approaches that design lenses alongside other components of the image acquisition and processing pipeline…

Computer Vision and Pattern Recognition · Computer Science 2023-03-29 Geoffroi Côté , Fahim Mannan , Simon Thibault , Jean-François Lalonde , Felix Heide

We propose a template matching method for the detection of 2D image objects that are characterized by orientation patterns. Our method is based on data representations via orientation scores, which are functions on the space of positions…

Computer Vision and Pattern Recognition · Computer Science 2017-03-10 Erik J. Bekkers , Marco Loog , Bart M. ter Haar Romeny , Remco Duits

Core-periphery detection aims to separate the nodes of a complex network into two subsets: a core that is densely connected to the entire network and a periphery that is densely connected to the core but sparsely connected internally. The…

Numerical Analysis · Mathematics 2024-05-29 Kai Bergermann , Martin Stoll , Francesco Tudisco

Reflectometry is a technique that uses the light reflected by a sample to determine properties of the sample. Interferometric reflectometry uses interference between two beams, one of which is incident on ---and reflected back by--- a…

Optics · Physics 2019-10-10 Alexander Nahmad-Rohen , Wolfgang Langbein

Depth map estimation from images is an important task in robotic systems. Existing methods can be categorized into two groups including multi-view stereo and monocular depth estimation. The former requires cameras to have large overlapping…

Computer Vision and Pattern Recognition · Computer Science 2022-10-06 Jialei Xu , Xianming Liu , Yuanchao Bai , Junjun Jiang , Kaixuan Wang , Xiaozhi Chen , Xiangyang Ji

Existing measures and representations for trajectories have two longstanding fundamental shortcomings, i.e., they are computationally expensive and they can not guarantee the `uniqueness' property of a distance function: dist(X,Y) = 0 if…

Machine Learning · Computer Science 2023-01-03 Yufan Wang , Kai Ming Ting , Yuanyi Shang

We tackle the problem of reflectance estimation from a set of multi-view images, assuming known geometry. The approach we put forward turns the input images into reflectance maps, through a robust variational method. The variational model…

Computer Vision and Pattern Recognition · Computer Science 2018-01-24 Jean Mélou , Yvain Quéau , Jean-Denis Durou , Fabien Castan , Daniel Cremers