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Image feature matching plays a vital role in many computer vision tasks. Although many image feature detection and matching techniques have been proposed over the past few decades, it is still time-consuming to match feature points in two…

Computer Vision and Pattern Recognition · Computer Science 2025-10-14 Chin-Hung Teng , Ben-Jian Dong

Linear subspace representations of appearance variation are pervasive in computer vision. This paper addresses the problem of robustly matching such subspaces (computing the similarity between them) when they are used to describe the scope…

Computer Vision and Pattern Recognition · Computer Science 2014-02-03 Ognjen Arandjelovic

This work is concerned with the kernel-based approximation of a complex-valued function from data, where the frequency response function of a partial differential equation in the frequency domain is of particular interest. In this setting,…

Computational Engineering, Finance, and Science · Computer Science 2024-11-26 Julien Bect , Niklas Georg , Ulrich Römer , Sebastian Schöps

A scheme for concatenating the recently invented polar codes with interleaved block codes is considered. By concatenating binary polar codes with interleaved Reed-Solomon codes, we prove that the proposed concatenation scheme captures the…

Information Theory · Computer Science 2013-02-01 Hessam Mahdavifar , Mostafa El-Khamy , Jungwon Lee , Inyup Kang

Grayscale images are essential in image processing and computer vision tasks. They effectively emphasize luminance and contrast, highlighting important visual features, while also being easily compatible with other algorithms. Moreover,…

Computer Vision and Pattern Recognition · Computer Science 2024-05-27 Prasoon Ambalathankandy , Yafei Ou , Sae Kaneko , Masayuki Ikebe

We introduce a novel criterion in clustering that seeks clusters with limited range of values associated with each cluster's elements. In clustering or classification the objective is to partition a set of objects into subsets, called…

Data Structures and Algorithms · Computer Science 2018-05-15 Dorit S. Hochbaum

The {\em acyclic chromatic number} of a graph is the least number of colors needed to properly color its vertices so that none of its cycles has only two colors. The {\em acyclic chromatic index} is the analogous graph parameter for edge…

Combinatorics · Mathematics 2024-10-15 Lefteris Kirousis , John Livieratos

Two planar sets are circularly separable if there exists a circle enclosing one of the sets and whose open interior disk does not intersect the other set. This paper studies two problems related to circular separability. A linear-time…

Computational Geometry · Computer Science 2016-08-31 Jean-Daniel Boissonnat , Jurek Czyzowicz , Olivier Devillers , Mariette Yvinec

Circular coloring is a constraints satisfaction problem where colors are assigned to nodes in a graph in such a way that every pair of connected nodes has two consecutive colors (the first color being consecutive to the last). We study…

Disordered Systems and Neural Networks · Physics 2016-08-31 Christian Schmidt , Nils-Eric Guenther , Lenka Zdeborová

Place recognition is indispensable for a drift-free localization system. Due to the variations of the environment, place recognition using single-modality has limitations. In this paper, we propose a bi-modal place recognition method, which…

Computer Vision and Pattern Recognition · Computer Science 2021-07-20 Yiyuan Pan , Xuecheng Xu , Weijie Li , Yunxiang Cui , Yue Wang , Rong Xiong

The first scheme for quasi-phase-matching high harmonic generation of circularly polarized radiation is proposed: optical rotation quasi-phase-matching (ORQPM). In ORQPM propagation of the driving radiation in a system exhibiting circular…

Optics · Physics 2013-03-19 Lewis Z. Liu , Kevin O'Keeffe , Simon M. Hooker

The aim of this paper is a construction of quartic parametric polynomial interpolants of a circular arc, where two boundary points of a circular arc are interpolated. For every unit circular arc of inner angle not greater than $\pi$ we find…

Numerical Analysis · Mathematics 2020-06-22 Aleš Vavpetič

A circle graph is a graph in which the adjacency of vertices can be represented as the intersection of chords of a circle. The problem of calculating the chromatic number is known to be NP-complete, even on circle graphs. In this paper, we…

Discrete Mathematics · Computer Science 2025-09-25 Masato Tanaka , Tomomi Matsui

Multiply connected space sections of the universe on a scale smaller than the horizon size can leave an imprint on cosmic microwave background polarization maps, in such a way that the so-called ``circles-in-the-sky'' method can be used to…

A practical rate-matching system for constructing rate-compatible polar codes is proposed. The proposed polar code circular buffer rate-matching is suitable for transmissions on communication channels that support hybrid automatic repeat…

Information Theory · Computer Science 2017-11-15 Mostafa El-Khamy , Hsien-Ping Lin , Jungwon Lee , Inyup Kang

We introduce a notion of integration defined from filters over families of finite sets. This procedure corresponds to determining the average value of functions whose range lies in any algebraic structure in which finite averages make…

Logic · Mathematics 2021-08-27 Emanuele Bottazzi , Monroe Eskew

Pooling is a ubiquitous operation in image processing algorithms that allows for higher-level processes to collect relevant low-level features from a region of interest. Currently, max-pooling is one of the most commonly used operators in…

Computer Vision and Pattern Recognition · Computer Science 2020-11-09 Arash Akbarinia , Raquel Gil Rodríguez , C. Alejandro Parraga

A compressive sensing based circular polarization snapshot spectral imaging system is proposed in this paper to acquire two-dimensional spatial, one-dimensional circular polarization (the right and left circular polarization), and…

We use non-symmetric distances to give a self-contained account of C*-algebra filters and their corresponding compact projections, simultaneously simplifying and extending their general theory.

Operator Algebras · Mathematics 2019-11-19 Tristan Bice , Alessandro Vignati

Small amplitude inhomogeneous plane waves propagating in any direction in a homogeneously deformed Hadamard material are considered. Conditions for circular polarization are established. The analysis relies on the use of complex vectors (or…

Soft Condensed Matter · Physics 2013-05-29 Michel Destrade , Michael Hayes