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In this work, we propose a fast superpixel-based color transfer method (SCT) between two images. Superpixels enable to decrease the image dimension and to extract a reduced set of color candidates. We propose to use a fast approximate…

Computer Vision and Pattern Recognition · Computer Science 2025-09-18 Rémi Giraud , Vinh-Thong Ta , Nicolas Papadakis

The attempts to prove the Four Color Problem last for long years. A little hope arises that the properties of the minimal partial triangulations will be very useful for the solution of the Four Color Problem. That is why the material of…

Discrete Mathematics · Computer Science 2013-06-04 Natalia Malinina

Efficient algorithms are presented for constructing spanners in geometric intersection graphs. For a unit ball graph in R^k, a (1+\epsilon)-spanner is obtained using efficient partitioning of the space into hypercubes and solving…

Computational Geometry · Computer Science 2012-10-10 Martin Furer , Shiva Prasad Kasiviswanathan

Consider an algorithm performing a computation on a huge random object. Is it necessary to generate the entire object up front, or is it possible to provide query access to the object and sample it incrementally "on-the-fly"? Such an…

Data Structures and Algorithms · Computer Science 2020-12-08 Amartya Shankha Biswas , Ronitt Rubinfeld , Anak Yodpinyanee

We present a method that learns to answer visual questions by selecting image regions relevant to the text-based query. Our method exhibits significant improvements in answering questions such as "what color," where it is necessary to…

Computer Vision and Pattern Recognition · Computer Science 2016-01-12 Kevin J. Shih , Saurabh Singh , Derek Hoiem

We present randomized algorithms for some well-studied, hard combinatorial problems: the k-path problem, the p-packing of q-sets problem, and the q-dimensional p-matching problem. Our algorithms solve these problems with high probability in…

Data Structures and Algorithms · Computer Science 2010-07-08 Andreas Björklund , Thore Husfeldt , Petteri Kaski , Mikko Koivisto

We propose an algorithm to create a 3-colorable Delaunay Triangulation. The input of the problem we are trying to solve is a set X of n twodimensional points. The output is a 3-colorable two-dimensional Delaunay triangulation T for X U Y ,…

Computational Geometry · Computer Science 2018-12-27 Lucas Moutinho Bueno

Image colorization is inherently an ill-posed problem with multi-modal uncertainty. Previous methods leverage the deep neural network to map input grayscale images to plausible color outputs directly. Although these learning-based methods…

Computer Vision and Pattern Recognition · Computer Science 2020-05-22 Jheng-Wei Su , Hung-Kuo Chu , Jia-Bin Huang

Spectral clustering has become a popular technique due to its high performance in many contexts. It comprises three main steps: create a similarity graph between N objects to cluster, compute the first k eigenvectors of its Laplacian matrix…

Data Structures and Algorithms · Computer Science 2016-05-24 Nicolas Tremblay , Gilles Puy , Remi Gribonval , Pierre Vandergheynst

Let $f$ be a proper $k$-coloring of a connected graph $G$ and $\Pi=(V_1,V_2,...,V_k)$ be an ordered partition of $V(G)$ into the resulting color classes. For a vertex $v$ of $G$, the color code of $v$ with respect to $\Pi$ is defined to be…

Combinatorics · Mathematics 2012-01-24 Ali Behtoei

In this paper we introduce and study a new problem named \emph{min-max edge $q$-coloring} which is motivated by applications in wireless mesh networks. The input of the problem consists of an undirected graph and an integer $q$. The goal is…

Data Structures and Algorithms · Computer Science 2013-02-15 Tommi Larjomaa , Alexandru Popa

One of the essential issues in decision problems and preference modeling is the number of comparisons and their pattern to ask from the decision maker. We focus on the optimal patterns of pairwise comparisons and the sequence including the…

Optimization and Control · Mathematics 2025-08-26 Zsombor Szádoczki , Sándor Bozóki , László Sipos , Zsófia Galambosi

This paper describes the development of an embedded vision system for detection, location, and tracking of a color object; it makes use of a single 32-bit microprocessor to acquire image data, process, and perform actions according to the…

Computer Vision and Pattern Recognition · Computer Science 2022-08-01 Diego Ayala , Danilo Chavez , Leopoldo Altamirano Robles

In the Euclidean $k$-means problems we are given as input a set of $n$ points in $\mathbb{R}^d$ and the goal is to find a set of $k$ points $C\subseteq \mathbb{R}^d$, so as to minimize the sum of the squared Euclidean distances from each…

Computational Geometry · Computer Science 2024-05-24 Enver Aman , Karthik C. S. , Sharath Punna

Distinguishing visually similar objects like forged/authentic bills and healthy/unhealthy plants is beyond the capabilities of even the most sophisticated classifiers. We propose the use of multiplexed illumination to extend the range of…

Computer Vision and Pattern Recognition · Computer Science 2021-02-24 Taihua Wang , Donald G. Dansereau

We are given $n$ balls and an unknown coloring of them with two colors. Our goal is to find a ball that belongs to the larger color class, or show that the color classes have the same size. We can ask sets of $k$ balls as queries, and the…

Combinatorics · Mathematics 2023-06-22 Dániel Gerbner , Máté Vizer

We consider a framework for clustering edge-colored hypergraphs, where the goal is to cluster (equivalently, to color) objects based on the primary type of multiway interactions they participate in. One well-studied objective is to color…

Data Structures and Algorithms · Computer Science 2025-02-19 Alex Crane , Thomas Stanley , Blair D. Sullivan , Nate Veldt

Let $G_{n,p}^{[\kappa]}$ denote the space of $n$-vertex edge coloured graphs, where each edge occurs independently with probability $p$. The colour of each existing edge is chosen independently and uniformly at random from the set…

Combinatorics · Mathematics 2025-08-13 Colin Cooper , Alan Frieze

We introduce the algorithmic problem of finding a locally rainbow path of length $\ell$ connecting two distinguished vertices $s$ and $t$ in a vertex-colored directed graph. Herein, a path is locally rainbow if between any two visits of…

Data Structures and Algorithms · Computer Science 2024-02-21 Till Fluschnik , Leon Kellerhals , Malte Renken

The investigation of colour symmetries for periodic and aperiodic systems consists of two steps. The first concerns the computation of the possible numbers of colours and is mainly combinatorial in nature. The second is algebraic and…

Disordered Systems and Neural Networks · Physics 2007-05-23 Michael Baake , Uwe Grimm , Max Scheffer