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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

It is a well observed phenomenon that natural images are smooth, in the sense that nearby pixels tend to have similar values. We describe a mathematical model of images that makes no assumptions on the nature of the environment that images…

Computer Vision and Pattern Recognition · Computer Science 2014-06-20 Uriel Feige

We study the structure of representations, defined as approximations of minimal sufficient statistics that are maximal invariants to nuisance factors, for visual data subject to scaling and occlusion of line-of-sight. We derive analytical…

Computer Vision and Pattern Recognition · Computer Science 2015-04-20 Stefano Soatto , Jingming Dong , Nikolaos Karianakis

Understanding the 3D world from 2D images involves more than detection and segmentation of the objects within the scene. It also includes the interpretation of the structure and arrangement of the scene elements. Such understanding is often…

Computer Vision and Pattern Recognition · Computer Science 2022-12-07 Or Nachmias , Ohad Fried , Ariel Shamir

This paper begins with a description of methods for estimating image probability density functions that reflects the observation that such data is usually constrained to lie in restricted regions of the high-dimensional image space-not…

Computer Vision and Pattern Recognition · Computer Science 2023-11-14 Peter Tu , Zhaoyuan Yang , Richard Hartley , Zhiwei Xu , Jing Zhang , Yiwei Fu , Dylan Campbell , Jaskirat Singh , Tianyu Wang

We present a probabilistic model for natural images which is based on Gaussian scale mixtures and a simple multiscale representation. In contrast to the dominant approach to modeling whole images focusing on Markov random fields, we…

Machine Learning · Statistics 2012-09-17 Lucas Theis , Reshad Hosseini , Matthias Bethge

Visual segmentation is a key perceptual function that partitions visual space and allows for detection, recognition and discrimination of objects in complex environments. The processes underlying human segmentation of natural images are…

Computer Vision and Pattern Recognition · Computer Science 2019-05-03 Jonathan Vacher , Pascal Mamassian , Ruben Coen-Cagli

Modeling the distribution of natural images is a landmark problem in unsupervised learning. This task requires an image model that is at once expressive, tractable and scalable. We present a deep neural network that sequentially predicts…

Computer Vision and Pattern Recognition · Computer Science 2016-08-22 Aaron van den Oord , Nal Kalchbrenner , Koray Kavukcuoglu

The problem of searching for a model-based scene interpretation is analyzed within a probabilistic framework. Object models are formulated as generative models for range data of the scene. A new statistical criterion, the truncated object…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Ulrich Hillenbrand , Gerd Hirzinger

The opacity of typical objects in the world results in occlusion --- an important property of natural scenes that makes inference of the full 3-dimensional structure of the world challenging. The relationship between occlusion and low-level…

Statistical Mechanics · Physics 2012-12-17 Joel Zylberberg , David Pfau , Michael Robert DeWeese

Visual illusions may be explained by the likelihood of patches in real-world images, as argued by input-driven paradigms in Neuro-Science. However, neither the data nor the tools existed in the past to extensively support these…

Computer Vision and Pattern Recognition · Computer Science 2020-10-23 Elad Hirsch , Ayellet Tal

The human visual environment is comprised of different surfaces that are distributed in space. The parts of a scene that are visible at any one time are governed by the occlusion of overlapping objects. In this work we consider "dead…

Computer Vision and Pattern Recognition · Computer Science 2026-01-06 Swantje Mahncke , Malte Ott

To what extent are two images picturing the same 3D surfaces? Even when this is a known scene, the answer typically requires an expensive search across scale space, with matching and geometric verification of large sets of local features.…

Computer Vision and Pattern Recognition · Computer Science 2020-08-14 Anita Rau , Guillermo Garcia-Hernando , Danail Stoyanov , Gabriel J. Brostow , Daniyar Turmukhambetov

Humans share with many animal species the ability to perceive and approximately represent the number of objects in visual scenes. This ability improves throughout childhood, suggesting that learning and development play a key role in…

Computer Vision and Pattern Recognition · Computer Science 2025-07-29 Kuinan Hou , Marco Zorzi , Alberto Testolin

Probability density estimation is a classical and well studied problem, but standard density estimation methods have historically lacked the power to model complex and high-dimensional image distributions. More recent generative models…

Machine Learning · Computer Science 2019-02-27 Ryen Krusinga , Sohil Shah , Matthias Zwicker , Tom Goldstein , David Jacobs

This paper presents a computational model to recover the most likely interpretation of the 3D scene structure from a planar image, where some objects may occlude others. The estimated scene interpretation is obtained by integrating some…

Computer Vision and Pattern Recognition · Computer Science 2016-03-30 Maria Oliver , Gloria Haro , Mariella Dimiccoli , Baptiste Mazin , Coloma Ballester

Real-time occlusion handling is a major problem in outdoor mixed reality system because it requires great computational cost mainly due to the complexity of the scene. Using only segmentation, it is difficult to accurately render a virtual…

Computer Vision and Pattern Recognition · Computer Science 2017-08-01 Menandro Roxas , Tomoki Hori , Taiki Fukiage , Yasuhide Okamoto , Takeshi Oishi

To understand how the human visual system analyzes images, it is essential to know the structure of the visual environment. In particular, natural images display consistent statistical properties that distinguish them from random luminance…

Disordered Systems and Neural Networks · Physics 2014-03-05 M. Sigman , G. A. Cecchi , C. D. Gilbert , M. O. Magnasco

In physics we often use very simple models to describe systems with many degrees of freedom, but it is not clear why or how this success can be transferred to the more complex biological context. We consider models for the joint…

Neurons and Cognition · Quantitative Biology 2024-12-06 Luisa Ramirez , William Bialek , Stephanie E. Palmer , David J. Schwab

In this work, we introduce a random field in view of natural image modeling, obtained as a limit of sequences of dead leaves models, when considering arbitrarily small or big objects. The dead leaves model, introduced by the Mathematical…

Probability · Mathematics 2007-05-23 Yann Gousseau , Francois Roueff
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