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The forward model in diffuse optical tomography (DOT) describes how light propagates through a turbid medium. It is often approximated by a diffusion equation (DE) that is numerically discretized by the classical finite element method…

Computational Physics · Physics 2019-06-04 Wenqi Lu , Jinming Duan , Joshua Deepak Veesa , Iain B. Styles

This paper introduces an approach, named DFormer, for universal image segmentation. The proposed DFormer views universal image segmentation task as a denoising process using a diffusion model. DFormer first adds various levels of Gaussian…

Computer Vision and Pattern Recognition · Computer Science 2023-06-09 Hefeng Wang , Jiale Cao , Rao Muhammad Anwer , Jin Xie , Fahad Shahbaz Khan , Yanwei Pang

The dispersion surfaces of printed periodic structures in layered media are efficiently computed using a full-wave method based on the periodic Method of Moments (MoM). The geometry of the dispersion surface is estimated after mapping the…

Computational Physics · Physics 2023-09-27 Denis Tihon , Shambhu Nath Jha , Modeste Bodehou , Christophe Craeye

We study evolution of pulses propagating through focusing nonlinear media. Small disturbance on the smooth initial non-uniform background leads to formation of the region of strong nonlinear oscillations. We develop here an asymptotic…

Pattern Formation and Solitons · Physics 2022-03-14 A. M. Kamchatnov , D. V. Shaykin

This work introduces the Grassmannian Diffusion Maps, a novel nonlinear dimensionality reduction technique that defines the affinity between points through their representation as low-dimensional subspaces corresponding to points on the…

Machine Learning · Computer Science 2021-06-02 K. R. M. dos Santos , D. G. Giovanis , M. D. Shields

We show that it is possible to define a purely Photometric Fundamental Plane (PFP) for early-type galaxies. This relation is similar to the standard Fundamental Plane (FP), and is obtained by replacing the velocity dispersion parameter with…

Astrophysics · Physics 2009-10-30 Marco Scodeggio , Riccardo Giovanelli , Martha Haynes

We present an algorithm to estimate fast and accurate depth maps from light fields via a sparse set of depth edges and gradients. Our proposed approach is based around the idea that true depth edges are more sensitive than texture edges to…

Computer Vision and Pattern Recognition · Computer Science 2021-07-08 Numair Khan , Min H. Kim , James Tompkin

Wildfires pose significant threats to ecosystems and communities, yet accurately modeling fire spread remains challenging, particularly in regions where environmental and fuel data are scarce or unavailable. This study introduces an…

Mathematical Physics · Physics 2025-12-12 Hengameh R. Dehkordi

This paper proposes a non-computational method of counteracting the effect of image degradation introduced by the diffraction phenomenon in lensless microscopy. All the optical images (whether focused by lenses or not) are diffraction…

Optics · Physics 2021-04-08 Sanjeev Kumar , Manjunatha Mahadevappa , Pranab Kumar Dutta

Although many 3D One-Way Wave-equation Migration (OWEM) methods exist for VTI media, most of them struggle either with the stability, the anisotropic noise or the computational cost. In this paper we present a new method based on a mixed…

Fourier ptychography microscopy (FPM), sharing its roots with synthetic aperture technique and phase retrieval method, is a recently developed computational microscopic super-resolution technique. By turning on the light-emitting diode…

Optics · Physics 2021-05-07 G. Zhou , S. Zhang , C. Zheng , T. Li , Y. Hu , Q. Hao

We develop the method of anholonomic frames with associated nonlinear connection (in brief, N--connection) structure and show explicitly how geometries with local anisotropy (various type of Finsler--Lagrange--Cartan--Hamilton geometry) can…

High Energy Physics - Theory · Physics 2007-05-23 Sergiu I. Vacaru

Regression on medical image sequences can capture temporal image pattern changes and predict images at missing or future time points. However, existing geodesic regression methods limit their regression performance by a strong underlying…

Computer Vision and Pattern Recognition · Computer Science 2024-07-19 Hao Bai , Yi Hong

This paper deals with the case of using nonlinear diffusion filters to obtain piecewise constant images as a previous process for segmentation techniques. We first show an intrinsic formulation for the nonlinear diffusion equation to…

Computer Vision and Pattern Recognition · Computer Science 2026-04-24 Javier Sanguino , Carlos Platero , Olga Velasco

To fully leverage spatial information for remote sensing image segmentation and address semantic edge ambiguities caused by grayscale variations (e.g., shadows and low-contrast regions), we propose the Frequency and Spatial Domains based…

Computer Vision and Pattern Recognition · Computer Science 2025-10-02 Jiahao Fu , Yinfeng Yu , Liejun Wang

Lossless image compression is an important technique for image storage and transmission when information loss is not allowed. With the fast development of deep learning techniques, deep neural networks have been used in this field to…

Image and Video Processing · Electrical Eng. & Systems 2021-08-25 Honglei Zhang , Francesco Cricri , Hamed R. Tavakoli , Nannan Zou , Emre Aksu , Miska M. Hannuksela

The pretrained diffusion model as a strong prior has been leveraged to address inverse problems in a zero-shot manner without task-specific retraining. Different from the unconditional generation, the measurement-guided generation requires…

Optimization and Control · Mathematics 2025-03-14 Ji Li , Chao Wang

Robotics research has found numerous important applications of Riemannian geometry. Despite that, the concept remain challenging to many roboticists because the background material is complex and strikingly foreign. Beyond {\em Riemannian}…

Robotics · Computer Science 2021-07-05 Nathan D. Ratliff , Karl Van Wyk , Mandy Xie , Anqi Li , Muhammad Asif Rana

Stereo-LiDAR fusion is a promising task in that we can utilize two different types of 3D perceptions for practical usage -- dense 3D information (stereo cameras) and highly-accurate sparse point clouds (LiDAR). However, due to their…

Computer Vision and Pattern Recognition · Computer Science 2021-03-25 Jaesung Choe , Kyungdon Joo , Tooba Imtiaz , In So Kweon

Generative diffusion priors have recently achieved state-of-the-art performance in natural image super-resolution, demonstrating a powerful capability to synthesize photorealistic details. However, their direct application to remote sensing…

Computer Vision and Pattern Recognition · Computer Science 2026-04-16 Enzhuo Zhang , Sijie Zhao , Dilxat Muhtar , Zhenshi Li , Xueliang Zhang , Pengfeng Xiao