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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

To understand the computations of our visual system, it is important to understand also the natural environment it evolved to interpret. Unfortunately, existing models of the visual environment are either unrealistic or too complex for…

Data Analysis, Statistics and Probability · Physics 2010-03-16 Xaq Pitkow

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

Consensus about the universality of the power law feature in complex networks is experiencing profound challenges. To shine fresh light on this controversy, we propose a generic theoretical framework in order to examine the power law…

Physics and Society · Physics 2021-05-24 Xiaojun Zhang , Zheng He , Liwei Zhang , Lez Rayman-Bacchus , Yue Xiao , Shuhui Shen

The frequency distributions of sizes of ``clouds" and ``clumps" within clouds are significantly flatter for extinction surveys than for CO spectral line surveys, even for comparable size ranges. A possible explanation is the blocking of…

Astrophysics · Physics 2009-10-28 J. Scalo , A. Lazarian

Optical imaging relies on the ability to illuminate an object, collect and analyze the light it scatters or transmits. Propagation through complex media such as biological tissues was so far believed to degrade the attainable depth as well…

Optics · Physics 2010-09-24 S. M. Popoff , G. Lerosey , M. Fink , A. C. Boccara , S. Gigan

We propose a novel training-free image generation algorithm that precisely controls the occlusion relationships between objects in an image. Existing image generation methods typically rely on prompts to influence occlusion, which often…

Computer Vision and Pattern Recognition · Computer Science 2025-08-12 Xiaohang Zhan , Dingming Liu

Image-to-image translation is affected by entanglement phenomena, which may occur in case of target data encompassing occlusions such as raindrops, dirt, etc. Our unsupervised model-based learning disentangles scene and occlusions, while…

Computer Vision and Pattern Recognition · Computer Science 2020-07-21 Fabio Pizzati , Pietro Cerri , Raoul de Charette

The segmentation of transparent objects can be very useful in computer vision applications. However, because they borrow texture from their background and have a similar appearance to their surroundings, transparent objects are not handled…

Computer Vision and Pattern Recognition · Computer Science 2015-11-24 Yichao Xu , Hajime Nagahara , Atsushi Shimada , Rin-ichiro Taniguchi

The speckle statistics of optical coherence tomography images of biological tissue have been studied using several historical probability density functions. A recent hypothesis implies that underlying power-law distributions in the medium…

Medical Physics · Physics 2021-02-01 Gary R. Ge , Jannick P. Rolland , Kevin J. Parker

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

Because the desire to explore opaque materials is ordinarily frustrated by multiple scattering of waves, attention has focused on the transmission matrix of the wave field. This matrix gives the fullest account of transmission and…

Optics · Physics 2015-02-13 Matthieu Davy , Zhou Shi , Jongchul Park , Chushun Tian , Azriel Z. Genack

The Dead Leaves Model (DLM) provides a random tessellation of $d$-space, representing the visible portions of fallen leaves on the ground when $d=2$. For $d=1$, we establish formulae for the intensity, two-point correlations, and asymptotic…

Probability · Mathematics 2020-04-14 Mathew D. Penrose

The significant power of deep learning networks has led to enormous development in object detection. Over the last few years, object detector frameworks have achieved tremendous success in both accuracy and efficiency. However, their…

Computer Vision and Pattern Recognition · Computer Science 2021-04-13 Kaziwa Saleh , Sándor Szénási , Zoltán Vámossy

Existing scene understanding systems mainly focus on recognizing the visible parts of a scene, ignoring the intact appearance of physical objects in the real-world. Concurrently, image completion has aimed to create plausible appearance for…

Computer Vision and Pattern Recognition · Computer Science 2021-04-13 Chuanxia Zheng , Duy-Son Dao , Guoxian Song , Tat-Jen Cham , Jianfei Cai

3D reconstruction is a fundamental problem in computer vision, and the task is especially challenging when the object to reconstruct is partially or fully occluded. We introduce a method that uses the shadows cast by an unobserved object in…

Computer Vision and Pattern Recognition · Computer Science 2022-06-22 Ruoshi Liu , Sachit Menon , Chengzhi Mao , Dennis Park , Simon Stent , Carl Vondrick

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

We consider the random lasing from a weakly scattering medium and demonstrate that the distribution of the threshold gain over the ensemble of statistically independent finite-size samples is universal. Universality stems from the facts…

Disordered Systems and Neural Networks · Physics 2009-11-10 V. M. Apalkov , M. E. Raikh

Hierarchical tree structures are common in many real-world systems, from tree roots and branches to neuronal dendrites and biologically inspired artificial neural networks, as well as in technological networks for organizing and searching…

Statistical Mechanics · Physics 2025-02-04 Davide Cipollini , Lambert Schomaker

Medical data range from genomic sequences and retinal photographs to structured laboratory results and unstructured clinical narratives. Although these modalities appear disparate, many encode convergent information about a single…

Quantitative Methods · Quantitative Biology 2025-06-06 Salil Patel
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