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Optical flow is an easily conceived and precious cue for advancing unsupervised video object segmentation (UVOS). Most of the previous methods directly extract and fuse the motion and appearance features for segmenting target objects in the…

Computer Vision and Pattern Recognition · Computer Science 2022-07-20 Gensheng Pei , Fumin Shen , Yazhou Yao , Guo-Sen Xie , Zhenmin Tang , Jinhui Tang

Symmetries and the corresponding fields of differential invariants of the inviscid flows on a curve are given. Their dependence on thermodynamic states of media is studied, and a classification of thermodynamic states is given.

Mathematical Physics · Physics 2020-04-28 Anna Duyunova , Valentin Lychagin , Sergey Tychkov

An end-to-end trainable ConvNet architecture, that learns to harness the power of shape representation for matching disparate image pairs, is proposed. Disparate image pairs are deemed those that exhibit strong affine variations in scale,…

Computer Vision and Pattern Recognition · Computer Science 2018-11-27 Shefali Srivastava , Abhimanyu Chopra , Arun CS Kumar , Suchendra M. Bhandarkar , Deepak Sharma

Robust and non-destructive material classification is a challenging but crucial first-step in numerous vision applications. We propose a physics-guided material classification framework that relies on thermal properties of the object. Our…

Computer Vision and Pattern Recognition · Computer Science 2023-04-04 Aniket Dashpute , Vishwanath Saragadam , Emma Alexander , Florian Willomitzer , Aggelos Katsaggelos , Ashok Veeraraghavan , Oliver Cossairt

Matching two images while estimating their relative geometry is a key step in many computer vision applications. For decades, a well-established pipeline, consisting of SIFT, RANSAC, and 8-point algorithm, has been used for this task.…

Computer Vision and Pattern Recognition · Computer Science 2019-09-13 Jia-Wang Bian , Yu-Huan Wu , Ji Zhao , Yun Liu , Le Zhang , Ming-Ming Cheng , Ian Reid

The Special Affine Fourier Transformation(SAFT), which generalizes several well-known unitary transformations, has been demonstrated as a valuable tool in signal processing and optics. In this paper, we explore the multivariate dynamical…

Functional Analysis · Mathematics 2024-09-16 Meng Ning , Li-Ping Wu , Qing-yue Zhang , Bei Liu

We develop new variational principles to study stability and equilibrium of axisymmetric flows. We show that there is an infinite number of steady state solutions. We show that these steady states maximize a (non-universal) $H$-function. We…

Fluid Dynamics · Physics 2016-08-16 Nicolas Leprovost , Bérengère Dubrulle , Pierre-Henri Chavanis

We propose and study a conformal field theory (CFT) model with random position-dependent velocity that, as we argue, naturally emerges as an effective description of heat transport in one-dimensional quantum many-body systems with certain…

Statistical Mechanics · Physics 2019-02-15 Edwin Langmann , Per Moosavi

We study the non-equilibrium dynamics of conformal field theory (CFT) in 1+1 dimensions with a smooth position-dependent velocity $v(x)$ explicitly breaking translation invariance. Such inhomogeneous CFT is argued to effectively describe…

Mathematical Physics · Physics 2024-02-26 Per Moosavi

Two fundamental problems in unsupervised learning are efficient inference for latent-variable models and robust density estimation based on large amounts of unlabeled data. Algorithms for the two tasks, such as normalizing flows and…

Machine Learning · Statistics 2018-08-02 Changyou Chen , Chunyuan Li , Liqun Chen , Wenlin Wang , Yunchen Pu , Lawrence Carin

This paper addresses how to construct features for the problem of image correspondence, in particular, the paper addresses how to construct features so as to maintain the right level of invariance versus discriminability. We show that…

Computer Vision and Pattern Recognition · Computer Science 2012-11-21 Ganesh Sundaramoorthi , Yanchao Yang

Foreground segmentation is an essential task in the field of image understanding. Under unsupervised conditions, different images and instances always have variable expressions, which make it difficult to achieve stable segmentation…

Computer Vision and Pattern Recognition · Computer Science 2020-05-22 Xi Li , Huimin Ma , Hongbing Ma , Yidong Wang

Fast and robust image matching is a very important task with various applications in computer vision and robotics. In this paper, we compare the performance of three different image matching techniques, i.e., SIFT, SURF, and ORB, against…

Computer Vision and Pattern Recognition · Computer Science 2017-10-10 Ebrahim Karami , Siva Prasad , Mohamed Shehata

In this work we present an efficient numerical algorithm for the solution of interfacial statistical associating fluid theory (iSAFT) in cylindrical geometry to facilitate the study of inhomogeneous fluids having curvatures. The new…

Chemical Physics · Physics 2019-11-27 Shun Xi , Jinlu Liu , Arjun Valiya Parambathu , Yuchong Zhang , Walter Chapman

Characterizing noisy or ancient documents is a challenging problem up to now. Many techniques have been done in order to effectuate feature extraction and image indexation for such documents. Global approaches are in general less robust and…

Computer Vision and Pattern Recognition · Computer Science 2013-08-30 Nizar Zaghden , Remy Mullot , Mohamed Adel Alimi

Image segmentation is a complex mathematical problem, especially for images that contain intensity inhomogeneity and tightly packed objects with missing boundaries in between. For instance, Magnetic Resonance (MR) muscle images often…

Computer Vision and Pattern Recognition · Computer Science 2023-09-21 Paramjyoti Mohapatra , Richard Lartey , Weihong Guo , Michael Judkovich , Xiaojuan Li

In this work we define the trajectory coset of an affine map and use it to study the similarity classes of affine maps. We use the trajectory coset, a tool which allows us to gain a deeper understanding of the interplay between geometry…

Group Theory · Mathematics 2020-09-15 Arieh Yakir

In this paper, we revisit the claim that many partition functions are invariant under reflecting temperatures to negative values (T-reflection). The goal of this paper is to demarcate which partition functions should be invariant under…

High Energy Physics - Theory · Physics 2017-11-22 David A. McGady

In this paper we consider a one-dimensional one-phase Stefan problem corresponding to the solidification process of a semi-infinite material with a convective boundary condition at the fixed face. The exact solution of this problem,…

Analysis of PDEs · Mathematics 2018-08-09 Julieta Bollati , José A. Semitiel , Domingo A. Tarzia

This study attempts to provide explanations, descriptions and evaluations of some most popular and current combinations of description and descriptor frameworks, namely SIFT, SURF, MSER, and BRISK for keypoint extractors and SIFT, SURF,…

Computer Vision and Pattern Recognition · Computer Science 2018-05-03 Novanto Yudistira , Achmad Ridok , Ali Fauzi