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In this paper, we investigate the effect of color space selection on detectability and discriminability of colored objects under various conditions. 20 color spaces from the literature are evaluated on a large dataset of simulated and real…

Computer Vision and Pattern Recognition · Computer Science 2018-05-31 Amir Rasouli , John K. Tsotsos

We devise a new formulation for the vertex coloring problem. Different from other formulations, decision variables are associated with the pairs of vertices. Consequently, colors will be distinguishable. Although the objective function is…

Data Structures and Algorithms · Computer Science 2015-01-12 Tomomi Matsui , Noriyoshi Sukegawa , Atsushi Miyauchi

Object-centric architectures can learn to extract distinct object representations from visual scenes, enabling downstream applications on the object level. Similarly to autoencoder-based image models, object-centric approaches have been…

Computer Vision and Pattern Recognition · Computer Science 2024-12-20 Bastian Jäckl , Yannick Metz , Udo Schlegel , Daniel A. Keim , Maximilian T. Fischer

We obtain improved upper bounds and new lower bounds on the chromatic number as a linear function of the clique number, for the intersection graphs (and their complements) of finite families of translates and homothets of a convex body in…

Discrete Mathematics · Computer Science 2010-08-10 Adrian Dumitrescu , Minghui Jiang

A coloring of a tree is convex if the vertices that pertain to any color induce a connected subtree; a partial coloring (which assigns colors to some of the vertices) is convex if it can be completed to a convex (total) coloring. Convex…

Data Structures and Algorithms · Computer Science 2007-05-23 Shlomo Moran , Sagi Snir

It is an attractive hypothesis that the spatial structure of visual cortical architecture can be explained by the coordinated optimization of multiple visual cortical maps representing orientation preference (OP), ocular dominance (OD),…

Neurons and Cognition · Quantitative Biology 2015-06-03 Lars Reichl , Dominik Heide , Siegrid Löwel , Justin C. Crowley , Matthias Kaschube , Fred Wolf

We study the existence of periodic colorings and orientations in locally finite graphs. A coloring or orientation of a graph $G$ is periodic if the resulting colored or oriented graph is quasi-transitive, meaning that $V(G)$ has finitely…

A Gallai coloring of the complete graph is an edge-coloring with no rainbow triangle. This concept first appeared in the study of comparability graphs and anti-Ramsey theory. We introduce a transitive analogue for acyclic directed graphs,…

Combinatorics · Mathematics 2023-09-21 R. M. Adin , A. Berenstein , J. Greenstein , J. -R. Li , A. Marmor , Y. Roichman

We propose a method for efficiently computing orientation-preserving and approximately continuous correspondences between non-rigid shapes, using the functional maps framework. We first show how orientation preservation can be formulated…

Graphics · Computer Science 2018-10-04 Jing Ren , Adrien Poulenard , Peter Wonka , Maks Ovsjanikov

Advances in multimodal characterization methods fuel a generation of increasing immense hyper-dimensional datasets. Color mapping is employed for conveying higher dimensional data in two-dimensional (2D) representations for human…

Human-Computer Interaction · Computer Science 2020-02-28 M. J. Waters , J. M. Walker , C. T. Nelson , D. Joester , J. M. Rondinelli

We address the problem of finding harmonic colors, this problem has many applications, from fashion to industrial design. In order to solve this problem we consider that colors follow normal distributions in tone (chroma and lightness) and…

Computer Vision and Pattern Recognition · Computer Science 2017-09-08 Carlos Lara-Alvarez , Tania Reyes

Colored tensor models have recently burst onto the scene as a promising conceptual and computational tool in the investigation of problems of random geometry in dimension three and higher. We present a snapshot of the cutting edge in this…

High Energy Physics - Theory · Physics 2012-04-11 Razvan Gurau , James P. Ryan

The assumption of a uniform light color distribution is no longer applicable in scenes that have multiple light colors. Most color constancy methods are designed to deal with a single light color, and thus are erroneous when applied to…

Computer Vision and Pattern Recognition · Computer Science 2023-08-24 Shuwei Li , Jikai Wang , Michael S. Brown , Robby T. Tan

I propose a fixed-range interaction multicomponent spin model, to be used as a physical analog to problems in plane geometry. Specifically, the model is applied to the open problem of the chromatic number of the plane. When spin values are…

Statistical Mechanics · Physics 2019-08-28 Sami Heinäsmäki

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

It is well known that any set of n intervals in $\mathbb{R}^1$ admits a non-monochromatic coloring with two colors and a conflict-free coloring with three colors. We investigate generalizations of this result to colorings of objects in more…

Discrete Mathematics · Computer Science 2018-05-08 Boris Aronov , Mark de Berg , Aleksandar Markovic , Gerhard Woeginger

We study combinatorial indicators related to the characteristic phase transitions associated with coloring a graph optimally and finding a maximum independent set. In particular, we investigate the role of the acyclic orientations of the…

Statistical Mechanics · Physics 2007-05-23 V. C. Barbosa , R. G. Ferreira

Color Appearance Models are biological networks that consist of a cascade of linear+nonlinear layers that modify the linear measurements at the retinal photo-receptors leading to an internal (nonlinear) representation of color that…

Neurons and Cognition · Quantitative Biology 2022-10-13 Jesus Malo

Color constancy and color illusion perception are two phenomena occurring in the human visual system, which can help us reveal unknown mechanisms of human perception. For decades computer vision scientists have developed numerous color…

Computer Vision and Pattern Recognition · Computer Science 2023-12-21 Oguzhan Ulucan , Diclehan Ulucan , Marc Ebner

We show the surprising result that colors across a change in viewing condition (changing light color, shading and camera) are related by a homography. Our homography color correction application delivers improved color fidelity compared…

Computer Vision and Pattern Recognition · Computer Science 2016-08-02 Graham D. Finlayson , Han Gong , Robert B. Fisher
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