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The present article studies combinatorial tilings of Euclidean or spherical spaces by polytopes, serving two main purposes: first, to survey some of the main developments in combinatorial space tiling; and second, to highlight some new and…

Metric Geometry · Mathematics 2010-05-24 Egon Schulte

In a computational topology of digital images, simplexes are replaced by Delta sets in approximating image object shapes. For simplicity, simplexes and Delta sets are restricted to the Euclidean plane. A planar simplex is either a vertex, a…

Computational Geometry · Computer Science 2017-06-15 M. Z. Ahmad , J. F. Peters

Humans have an incredible ability to process and understand information from multiple sources such as images, video, text, and speech. Recent success of deep neural networks has enabled us to develop algorithms which give machines the…

Computer Vision and Pattern Recognition · Computer Science 2019-03-18 Dheeraj Peri , Shagan Sah , Raymond Ptucha

In the paper a piecewise constant image approximations of sequential number of pixel clusters or segments are treated. A majorizing of optimal approximation sequence by hierarchical sequence of image approximations is studied. Transition…

Computer Vision and Pattern Recognition · Computer Science 2014-06-03 M. Kharinov

Quantitative phase imaging (QPI) is important in many applications such as microscopy and crystallography. To quantitatively reveal phase information, people could either employ interference to map phase distribution into intensity fringes,…

Optics · Physics 2020-11-11 Xianye Li , Yafei sun , Yikang He , Xun Li , Baoqing Sun

Object co-segmentation has drawn significant attention in recent years, thanks to its clarity on the expected foreground, the shared object in a group of images. Saliency fusion has been one of the promising ways to carry it out. However,…

Computer Vision and Pattern Recognition · Computer Science 2022-02-01 Harshit Singh Chhabra , Koteswar Rao Jerripothula

To retrieve images based on their content is one of the most studied topics in the field of computer vision. Nowadays, this problem can be addressed using modern techniques such as feature extraction using machine learning, but over the…

Computer Vision and Pattern Recognition · Computer Science 2021-05-12 Òscar Lorente , Ian Riera , Shauryadeep Chaudhuri , Oriol Catalan , Víctor Casales

This paper surveys hyperinterpolation, a quadrature-based approximation scheme. We cover classical results, provide examples on several domains, review recent progress on relaxed quadrature exactness, introduce methodological variants, and…

Numerical Analysis · Mathematics 2025-10-07 Congpei An , Jiashu Ran , Hao-Ning Wu

A visualisation tool is presented to facilitate the study on large-scale communications networks. This tool provides a simple and effective way to summarise the topology of a complex network at a coarse level.

Networking and Internet Architecture · Computer Science 2009-09-29 Yuchun Guo , Changjia Chen , Shi Zhou

Existing methods for image synthesis utilized a style encoder based on stacks of convolutions and pooling layers to generate style codes from input images. However, the encoded vectors do not necessarily contain local information of the…

Computer Vision and Pattern Recognition · Computer Science 2021-12-20 Jonghyun Kim , Gen Li , Cheolkon Jung , Joongkyu Kim

The task of synthesizing novel views from a single image has useful applications in virtual reality and mobile computing, and a number of approaches to the problem have been proposed in recent years. A Multiplane Image (MPI) estimates the…

Computer Vision and Pattern Recognition · Computer Science 2023-09-26 Numair Khan , Douglas Lanman , Lei Xiao

A novel, fast and practical way of enhancing images is introduced in this paper. Our approach builds on Laplacian operators of well-known edge-aware kernels, such as bilateral and nonlocal means, and extends these filter's capabilities to…

Computer Vision and Pattern Recognition · Computer Science 2016-06-24 Hossein Talebi , Peyman Milanfar

In this work, we propose a new segmentation algorithm for images containing convex objects present in multiple shapes with a high degree of overlap. The proposed algorithm is carried out in two steps, first we identify the visible contours,…

Computer Vision and Pattern Recognition · Computer Science 2017-11-08 Kumar Abhinav , Jaideep Singh Chauhan , Debasis Sarkar

We present VIXEN - a technique that succinctly summarizes in text the visual differences between a pair of images in order to highlight any content manipulation present. Our proposed network linearly maps image features in a pairwise…

Computer Vision and Pattern Recognition · Computer Science 2024-03-18 Alexander Black , Jing Shi , Yifei Fan , Tu Bui , John Collomosse

We define the concept of CompositeTasking as the fusion of multiple, spatially distributed tasks, for various aspects of image understanding. Learning to perform spatially distributed tasks is motivated by the frequent availability of only…

Computer Vision and Pattern Recognition · Computer Science 2021-06-21 Nikola Popovic , Danda Pani Paudel , Thomas Probst , Guolei Sun , Luc Van Gool

We survey current term-wise techniques for quadratizing high-degree pseudo-Boolean functions and introduce a new one, which allows multiple splits of terms. We also introduce the first aggregative approach, which splits a collection of…

Optimization and Control · Mathematics 2014-04-29 Endre Boros , Aritanan Gruber

Several image pattern recognition tasks rely on superpixel generation as a fundamental step. Image analysis based on superpixels facilitates domain-specific applications, also speeding up the overall processing time of the task. Recent…

Computer Vision and Pattern Recognition · Computer Science 2018-02-19 Marcelo Santos , Luciano Oliveira

Semantic segmentation is an important and popular research area in computer vision that focuses on classifying pixels in an image based on their semantics. However, supervised deep learning requires large amounts of data to train models and…

Computer Vision and Pattern Recognition · Computer Science 2025-03-19 Lingyan Ran , Yali Li , Guoqiang Liang , Yanning Zhang

Image structure-texture decomposition is a long-standing and fundamental problem in both image processing and computer vision fields. In this paper, we propose a generalized semi-sparse regularization framework for image structural analysis…

Computer Vision and Pattern Recognition · Computer Science 2023-08-21 Junqing Huang , Haihui Wang , Michael Ruzhansky

We evaluate several augmentations to the choropleth map to convey additional information, including glyphs, 3D, cartograms, juxtaposed maps, and shading methods. While choropleth maps are a common method used to represent societal data,…

Human-Computer Interaction · Computer Science 2020-05-04 Lonni Besançon , Matthew Cooper , Anders Ynnerman , Frédéric Vernier