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Neural optical flow (NOF) offers improved accuracy and robustness over existing OF methods for particle image velocimetry (PIV). Unlike other OF techniques, which rely on discrete displacement fields, NOF parameterizes the physical velocity…

Fluid Dynamics · Physics 2026-03-31 Andrew I. Masker , Ke Zhou , Joseph P. Molnar , Samuel J. Grauer

Abridged: Clinicians commonly interpret 3D medical images by examining multiple anatomical planes rather than relying on volumetric views. In clinical CT workflows, the axial plane often serves as the primary diagnostic reference, while the…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Doyoung Park , Jinsoo Kim , Lohendran Baskaran

Zak-OTFS is modulation scheme where signals are formed in the delay-Doppler (DD) domain, converted to the time domain (DD) for transmission and reception, then returned to the DD domain for processing. We describe how to use the same…

Signal Processing · Electrical Eng. & Systems 2025-09-30 Nishant Mehrotra , Sandesh Rao Mattu , Saif Khan Mohammed , Ronny Hadani , Robert Calderbank

Significant advancements in AI-driven multimodal medical image diagnosis have led to substantial improvements in ophthalmic disease identification in recent years. However, acquiring paired multimodal ophthalmic images remains prohibitively…

Computer Vision and Pattern Recognition · Computer Science 2025-09-11 Zhihao Zhao , Yinzheng Zhao , Junjie Yang , Xiangtong Yao , Quanmin Liang , Daniel Zapp , Kai Huang , Nassir Navab , M. Ali Nasseri

We propose a model of the functional architecture of curvature-sensitive cells in the primary visual cortex. The model accounts for the modular and hierarchical organization of the cortex, the horizontal connectivity, and the shape of…

Neurons and Cognition · Quantitative Biology 2026-03-23 Giovanna Citti , Vasiliki Liontou

The Ring Model of orientation tuning is a dynamical model of a hypercolumn of visual area V1 in the human neocortex that has been designed to account for the experimentally observed orientation tuning curves by local, i.e., cortico-cortical…

Dynamical Systems · Mathematics 2010-07-16 Romain Veltz , Olivier Faugeras

This paper describes an angular adaptivity algorithm for Boltzmann transport applications which for the first time shows evidence of $\mathcal{O}(n)$ scaling in both runtime and memory usage, where $n$ is the number of adapted angles. This…

Computational Physics · Physics 2020-01-29 S. Dargaville , A. G. Buchan , R. P. Smedley-Stevenson , P. N Smith , C. C. Pain

Self-attention networks have shown remarkable progress in computer vision tasks such as image classification. The main benefit of the self-attention mechanism is the ability to capture long-range feature interactions in attention-maps.…

Computer Vision and Pattern Recognition · Computer Science 2021-03-19 Andong Tan , Duc Tam Nguyen , Maximilian Dax , Matthias Nießner , Thomas Brox

Let $f\in L^1(\R^d)$ be real. The Rudin-Osher-Fatemi model is to minimize $\|u\|_{\dot{BV}}+\lambda\|f-u\|_{L^2}^2$, in which one thinks of $f$ as a given image, $\lambda > 0$ as a "tuning parameter", $u$ as an optimal "cartoon"…

Analysis of PDEs · Mathematics 2012-04-06 John B. Garnett , Triet M. Le , Luminita A. Vese

Adaptive optics (AO) is a powerful image correction technique with proven benefits for many life-science microscopy methods. However, the complexity of adding a reflective wavefront modulator and a wavefront sensor into already complicated…

Explicit neural surface representations allow for exact and efficient extraction of the encoded surface at arbitrary precision, as well as analytic derivation of differential geometric properties such as surface normal and curvature. Such…

Computer Vision and Pattern Recognition · Computer Science 2022-08-01 Weng Fei Low , Gim Hee Lee

A low artificial anisotropy cellular automaton (CA) model is developed for the simulation of microstructure evolution in directional solidification. The CA model's capture rule was modified by a limited neighbor solid fraction (LNSF)…

Materials Science · Physics 2014-10-16 Lei Wei , Xin Lin , Meng Wang , Weidong Huang

This paper presents a general framework for solving the control allocation problem (CAP) in thrust-vector controlled rigid-bodies with an arbitrary number of thrusters. Two novel solutions are proposed: a closed-form, Lipschitz continuous…

Systems and Control · Electrical Eng. & Systems 2026-04-16 Frank Mukwege , Tam Willy Nguyen , Emanuele Garone

Mapping is essential in robotics and autonomous systems because it provides the spatial foundation for path planning. Efficient mapping enables planning algorithms to generate reliable paths while ensuring safety and adapting in real time…

Robotics · Computer Science 2026-05-22 Yihui Mao , Tian Tan , Xuehui Shen , Warren E. Dixon , Rushikesh Kamalapurkar

Neural field theory is used to quantitatively analyze the two-dimensional spatiotemporal correlation properties of gamma-band (30 -- 70 Hz) oscillations evoked by stimuli arriving at the primary visual cortex (V1), and modulated by patchy…

Neurons and Cognition · Quantitative Biology 2021-03-19 X. Liu , P. Sanz-Leon , P. A. Robinson

This study proposes a low-complexity interpretable classification system. The proposed system contains three main modules including feature extraction, feature reduction, and classification. All of them are linear. Thanks to the linear…

Computer Vision and Pattern Recognition · Computer Science 2020-04-15 Tzu-Wei Tseng , Kai-Jiun Yang , C. -C. Jay Kuo , Shang-Ho , Tsai

In the setting of modern mathematical logic and model theory, classification theory has been one of the landmark achievements of the field. Likewise, the classification of UHF-algebras and AF-algebras were substantial contributions to the…

Operator Algebras · Mathematics 2019-07-15 Patrick Fraser

The goal of image ordinal estimation is to estimate the ordinal label of a given image with a convolutional neural network. Existing methods are mainly based on ordinal regression and particularly focus on modeling the ordinal mapping from…

Computer Vision and Pattern Recognition · Computer Science 2023-01-18 Yiming Lei , Zilong Li , Yangyang Li , Junping Zhang , Hongming Shan

The primate brain contains a hierarchy of visual areas, dubbed the ventral stream, which rapidly computes object representations that are both specific for object identity and relatively robust against identity-preserving transformations…

Neural and Evolutionary Computing · Computer Science 2016-06-07 Joel Z. Leibo , Qianli Liao , Winrich Freiwald , Fabio Anselmi , Tomaso Poggio

In the realm of autonomous vehicle perception, comprehending 3D scenes is paramount for tasks such as planning and mapping. Camera-based 3D Semantic Occupancy Prediction (OCC) aims to infer scene geometry and semantics from limited…

Computer Vision and Pattern Recognition · Computer Science 2025-02-03 Sanbao Su , Nuo Chen , Chenchen Lin , Felix Juefei-Xu , Chen Feng , Fei Miao