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Color refinement is a classical technique used to show that two given graphs G and H are non-isomorphic; it is very efficient, although it does not succeed on all graphs. We call a graph G amenable to color refinement if it succeeds in…

Computational Complexity · Computer Science 2015-05-05 V. Arvind , Johannes Köbler , Gaurav Rattan , Oleg Verbitsky

For intelligent robots to interact in meaningful ways with their environment, they must understand both the geometric and semantic properties of the scene surrounding them. The majority of research to date has addressed these mapping…

Robotics · Computer Science 2017-08-04 Niko Sünderhauf , Trung T. Pham , Yasir Latif , Michael Milford , Ian Reid

Image colorization estimates RGB colors for grayscale images or video frames to improve their aesthetic and perceptual quality. Over the last decade, deep learning techniques for image colorization have significantly progressed,…

Computer Vision and Pattern Recognition · Computer Science 2024-09-04 Saeed Anwar , Muhammad Tahir , Chongyi Li , Ajmal Mian , Fahad Shahbaz Khan , Abdul Wahab Muzaffar

Color constancy (CC) describes the ability of the visual system to perceive an object as having a relatively constant color despite changes in lighting conditions. While CC and its limitations have been carefully characterized in humans, it…

Computer Vision and Pattern Recognition · Computer Science 2024-04-15 Markus R. Ernst , Francisco M. López , Arthur Aubret , Roland W. Fleming , Jochen Triesch

Drawings of non-planar graphs always result in edge crossings. When there are many edges crossing at small angles, it is often difficult to follow these edges, because of the multiple visual paths resulted from the crossings that slow down…

Discrete Mathematics · Computer Science 2014-09-02 Yifan Hu , Lei Shi

This paper investigates the usefulness of reasoning about the uncertain presence of obstacles during path planning, which typically stems from the usage of probabilistic occupancy grid maps for representing the environment when mapping via…

Robotics · Computer Science 2022-05-31 Jacopo Banfi , Lindsey Woo , Mark Campbell

Environment maps are used to simulate reflections off curved objects. We present a technique to reflect a user, or a group of users, in a real environment, onto a virtual object, in a virtual reality application, using the live video feeds…

Graphics · Computer Science 2007-05-23 Paul Anderson , Goncalo Carvalho

Information regarding images should be visually understood by anyone, including those with color deficiency. However, such information is not recognizable if the color that seems to be distorted to the color deficiencies meets an adjacent…

Image and Video Processing · Electrical Eng. & Systems 2025-02-14 Sunyong Seo , Jinho Park

Living organisms have developed a wide range of appearances from iridescent to matt textures. Interestingly, angular independent structural colors, where isotropy in the scattering structure is present, only produce coloration in the blue…

Optics · Physics 2020-10-13 Gianni Jacucci , Silvia Vignolini , Lukas Schertel

Temporal Color Constancy (CC) is a recently proposed approach that challenges the conventional single-frame color constancy. The conventional approach is to use a single frame - shot frame - to estimate the scene illumination color. In…

Computer Vision and Pattern Recognition · Computer Science 2020-03-10 Yanlin Qian , Jani Käpylä , Joni-Kristian Kämäräinen , Samu Koskinen , Jiri Matas

The chromaticity diagram associated with the CIE 1931 color matching functions is shown to be slightly non-convex. While having no impact on practical colorimetric computations, the non-convexity does have a significant impact on the shape…

Computer Vision and Pattern Recognition · Computer Science 2021-05-17 Scott A. Burns

Learning and interpreting the structure of the environment is an innate feature of biological systems, and is integral to guiding flexible behaviours for evolutionary viability. The concept of a cognitive map has emerged as one of the…

Neurons and Cognition · Quantitative Biology 2022-02-04 James C. R. Whittington , David McCaffary , Jacob J. W. Bakermans , Timothy E. J. Behrens

In a balanced graph decomposition, every vertex of the host graph appears in the same number of blocks. We propose the use of colored loops as a framework for unifying various other types of local balance conditions in graph decompositions.…

Combinatorics · Mathematics 2020-02-21 Flora C. Bowditch , Peter J. Dukes

Shape is commonly used to distinguish between categories in multi-class scatterplots. However, existing guidelines for choosing effective shape palettes rely largely on intuition and do not consider how these needs may change as the number…

Human-Computer Interaction · Computer Science 2024-10-18 Chin Tseng , Arran Zeyu Wang , Ghulam Jilani Quadri , Danielle Albers Szafir

Depth data has a widespread use since the popularity of high-resolution 3D sensors. In multi-view sequences, depth information is used to supplement the color data of each view. This article proposes a joint encoding of multiple depth maps…

Computer Vision and Pattern Recognition · Computer Science 2019-11-04 Marc Maceira , David Varas , Josep-Ramon Morros , JavierRuiz-Hidalgo , Ferran Marques

High-definition (HD) maps provide essential semantic information of road structures for autonomous driving systems, yet current HD map construction methods require calibrated multi-camera setups and either implicit or explicit 2D-to-BEV…

Computer Vision and Pattern Recognition · Computer Science 2026-02-02 Run Wang , Chaoyi Zhou , Amir Salarpour , Xi Liu , Zhi-Qi Cheng , Feng Luo , Mert D. Pesé , Siyu Huang

Spectral properties of Coupled Map Lattices are described. Conditions for the stability of spatially homogeneous chaotic solutions are derived using linear stability analysis. Global stability analysis results are also presented. The…

Chaotic Dynamics · Physics 2009-11-07 J. Jost , M. P. Joy

Naive scale invariance is not a true property of natural images. Natural monochrome images posses a much richer geometrical structure, that is particularly well described in terms of multiscaling relations. This means that the pixels of a…

Statistical Mechanics · Physics 2009-11-07 A. Turiel , N. Parga , D. Ruderman , T. Cronin

Most well-established and widely used color difference (CD) metrics are handcrafted and subject-calibrated against uniformly colored patches, which do not generalize well to photographic images characterized by natural scene complexities.…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Haoyu Chen , Zhihua Wang , Yang Yang , Qilin Sun , Kede Ma

Moving around in a 3D world, requires the visual system of a living individual to rely on three channels of image recognition, which is done through three types of retinal cones. Newton, Grasmann, Helmholz and Schr$\ddot{o}$dinger laid down…

Computer Vision and Pattern Recognition · Computer Science 2020-04-08 Vic Patrangenaru , Yifang Deng