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Current theories of perception suggest that the brain represents features of the world as probability distributions, but can such uncertain foundations provide the basis for everyday vision? Perceiving objects and scenes requires knowing…

Neurons and Cognition · Quantitative Biology 2022-11-30 Andrey Chetverikov , Árni Kristjánsson

Given a metric space and a set of distances, one constructs the associated distance graph by taking as vertices the points of the space and as edges the pairs whose distance is in the given set. It is a longstanding open question to…

Combinatorics · Mathematics 2013-05-14 Benoît Kloeckner

This article trained a network for perceiving three-dimensional motion information of binocular vision target, which can provide real-time three-dimensional coordinate, velocity, and acceleration, and has a basic spatiotemporal perception…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Jiazhao Shi , Pan Pan , Haotian Shi

A model named `Colored Percolation' has been introduced with its infinite number of versions in two dimensions. The sites of a regular lattice are randomly occupied with probability $p$ and are then colored by one of the $n$ distinct colors…

Statistical Mechanics · Physics 2017-09-13 Sumanta Kundu , S. S. Manna

In recent years, deep generative models have gained significance due to their ability to synthesize natural-looking images with applications ranging from virtual reality to data augmentation for training computer vision models. While…

Computer Vision and Pattern Recognition · Computer Science 2020-06-08 Paul Sanzenbacher , Lars Mescheder , Andreas Geiger

Image colorization, the task of adding colors to grayscale images, has been the focus of significant research efforts in computer vision in recent years for its various application areas such as color restoration and automatic animation…

Computer Vision and Pattern Recognition · Computer Science 2025-08-20 Changyuan Qiu , Hangrui Cao , Qihan Ren , Ruiyu Li , Yuqing Qiu

3D data is a valuable asset the computer vision filed as it provides rich information about the full geometry of sensed objects and scenes. Recently, with the availability of both large 3D datasets and computational power, it is today…

Computer Vision and Pattern Recognition · Computer Science 2019-04-09 Eman Ahmed , Alexandre Saint , Abd El Rahman Shabayek , Kseniya Cherenkova , Rig Das , Gleb Gusev , Djamila Aouada , Bjorn Ottersten

Human vision possesses a special type of visual processing systems called peripheral vision. Partitioning the entire visual field into multiple contour regions based on the distance to the center of our gaze, the peripheral vision provides…

Computer Vision and Pattern Recognition · Computer Science 2022-10-14 Juhong Min , Yucheng Zhao , Chong Luo , Minsu Cho

We propose a system that learns to detect objects and infer their 3D poses in RGB-D images. Many existing systems can identify objects and infer 3D poses, but they heavily rely on human labels and 3D annotations. The challenge here is to…

Computer Vision and Pattern Recognition · Computer Science 2020-11-02 Mihir Prabhudesai , Shamit Lal , Hsiao-Yu Fish Tung , Adam W. Harley , Shubhankar Potdar , Katerina Fragkiadaki

We propose a new method for recognizing color image sets using quaternionic Grassmannians, which use the power of quaternions to capture color information and represent each color image set as a point on the quaternionic Grassmannian. We…

Computer Vision and Pattern Recognition · Computer Science 2025-07-18 Xiang Xiang Wang , Tin-Yau Tam

Recently, by using deep neural network based algorithms, object classification, detection and semantic segmentation solutions are significantly improved. However, one challenge for 2D image-based systems is that they cannot provide accurate…

Computer Vision and Pattern Recognition · Computer Science 2022-01-25 Xiaoke Shen

Generating 3D shapes from single RGB images is essential in various applications such as robotics. Current approaches typically target images containing clear and complete visual descriptions of the object, without considering common…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Yiheng Xiong , Angela Dai

Most of the current research in computer vision is focused on working with single images without taking in account temporal information. We present a probabilistic non-parametric model that mixes multiple information cues from devices to…

Computer Vision and Pattern Recognition · Computer Science 2018-05-11 Gabriel Moyà , Antoni Jaume-i-Capó , Javier Varona

The work is devoted to one of the variations of the Hadwiger--Nelson problem on the chromatic number of the plane. In this formulation one needs to find for arbitrarily small $\varepsilon$ the least possible number of colors needed to color…

Combinatorics · Mathematics 2025-04-15 Vsevolod Voronov

To be useful in everyday environments, robots must be able to observe and learn about objects. Recent datasets enable progress for classifying data into known object categories; however, it is unclear how to collect reliable object data…

Robotics · Computer Science 2019-01-18 Abhishek Venkataraman , Brent Griffin , Jason J. Corso

Let n>0 be a number. Let Gn be the graph on n-dimensional Euclidean space connecting points of rational distance. It is consistent with the choiceless theory ZF+DC that Gn has countable chromatic number yet Gn+1 does not.

Logic · Mathematics 2022-01-04 Jindrich Zapletal

Our sensory systems transform external signals into neural activity, thereby producing percepts. We are endowed with an intuitive notion of similarity between percepts, that need not reflect the proximity of the physical properties of the…

Neurons and Cognition · Quantitative Biology 2023-06-22 Nicolás Vattuone , Thomas Wachtler , Inés Samengo

Every day, humans perceive objects and communicate these perceptions through various channels. In this paper, we present a computational model designed to track and simulate the perception of objects, as well as their representations as…

Artificial Intelligence · Computer Science 2024-12-19 David Kupeev , Eyal Nitzany

We design new visual illusions by finding "adversarial examples" for principled models of human perception -- specifically, for probabilistic models, which treat vision as Bayesian inference. To perform this search efficiently, we design a…

Graphics · Computer Science 2022-04-27 Kartik Chandra , Tzu-Mao Li , Joshua Tenenbaum , Jonathan Ragan-Kelley

Single-channel 3D reconstruction is widely used in fields such as robotics and medical imaging. While these methods are good at reconstructing 3D geometry, their outputs are typically uncolored 3D models, making 3D colorization necessary…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Yeonjin Chang , Juhwan Cho , Seunghyeon Seo , Wonsik Shin , Nojun Kwak