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Despite significant progress in deep learning-based optical flow methods, accurately estimating large displacements and repetitive patterns remains a challenge. The limitations of local features and similarity search patterns used in these…

Computer Vision and Pattern Recognition · Computer Science 2024-01-02 Navid Eslami , Farnoosh Arefi , Amir M. Mansourian , Shohreh Kasaei

A new computational imaging method to reconstruct the complex wave-field is reported. Due to the existence of zero frequency component, the measured signal by amplitude modulation of pupil has a spectrum similar to the one of off-axis…

Optics · Physics 2021-11-09 Cheng Shen , An Pan , Mingshu Liang , Changhuei Yang

We extend the concept of optical flow to a dynamic non-Euclidean setting. Optical flow is traditionally computed from a sequence of flat images. It is the purpose of this paper to introduce variational motion estimation for images that are…

Optimization and Control · Mathematics 2013-05-22 Clemens Kirisits , Lukas F. Lang , Otmar Scherzer

We discuss and compare three algorithms for generating holograms: simple rounding, Floyd-Steinberg error diffusion dithering, and mixed region amplitude freedom (MRAF). The methods are optimised for producing large arrays of tightly focused…

Image and Video Processing · Electrical Eng. & Systems 2017-11-22 Naomi Holland , Dustin Stuart , Oliver Barter , Axel Kuhn

Real-time moving object detection in unconstrained scenes is a difficult task due to dynamic background, changing foreground appearance and limited computational resource. In this paper, an optical flow based moving object detection…

Computer Vision and Pattern Recognition · Computer Science 2018-07-16 Junjie Huang , Wei Zou , Jiagang Zhu , Zheng Zhu

In 3D single particle imaging with X-ray free-electron lasers, particle orientation is not recorded during measurement but is instead recovered as a necessary step in the reconstruction of a 3D image from the diffraction data. Here we use…

Data Analysis, Statistics and Probability · Physics 2016-05-25 Julien Flamant , Nicolas Le Bihan , Andrew V. Martin , Jonathan H. Manton

This paper presents a homogenization framework for elastomeric metamaterials exhibiting long-range correlated fluctuation fields. Based on full-scale numerical simulations on a class of such materials, an ansatz is proposed that allows to…

Soft Condensed Matter · Physics 2018-10-29 O. Rokoš , M. M. Ameen , R. H. J. Peerlings , M. G. D. Geers

We provide operator-norm convergence estimates for solutions to a time-dependent equation of fractional elasticity in one spatial dimension, with rapidly oscillating coefficients that represent the material properties of a viscoelastic…

Analysis of PDEs · Mathematics 2017-06-12 Kirill Cherednichenko , Marcus Waurick

Existing homography and optical flow methods are erroneous in challenging scenes, such as fog, rain, night, and snow because the basic assumptions such as brightness and gradient constancy are broken. To address this issue, we present an…

Computer Vision and Pattern Recognition · Computer Science 2023-05-30 Haipeng Li , Kunming Luo , Bing Zeng , Shuaicheng Liu

Fourier phase retrieval is a classical problem that deals with the recovery of an image from the amplitude measurements of its Fourier coefficients. Conventional methods solve this problem via iterative (alternating) minimization by…

Image and Video Processing · Electrical Eng. & Systems 2020-07-30 Rakib Hyder , Zikui Cai , M. Salman Asif

Photoacoustic computed tomography (PACT), also known as optoacoustic tomography, is an emerging imaging modality that has great potential for a wide range of biomedical imaging applications. In this Note, we derive a hybrid reconstruction…

Analysis of PDEs · Mathematics 2015-06-11 Kun Wang , Mark A. Anastasio

Modern optical flow methods make use of salient scene feature points detected and matched within the scene as a basis for sparse-to-dense optical flow estimation. Current feature detectors however either give sparse, non uniform point…

Computer Vision and Pattern Recognition · Computer Science 2019-05-21 Felix Stephenson , Toby Breckon , Ioannis Katramados

Feature extraction in noisy image datasets presents many challenges in model reliability. In this paper, we use the discrete Fourier transform in conjunction with persistent homology analysis to extract specific frequencies that correspond…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Anil Chintapalli , Peter Tenholder , Henry Chen , Arjun Rao

Photo-acoustic tomography is a newly developed hybrid imaging modality that combines a high-resolution modality with a high-contrast modality. We analyze the reconstruction of diffusion and absorption parameters in an elliptic equation and…

Analysis of PDEs · Mathematics 2015-06-04 Jie Chen , Yang Yang

Many biological and soft matter processes occur at high speeds in complex 3D environments, and developing imaging techniques capable of elucidating their dynamics is an outstanding experimental challenge. Here, we introduce Fourier…

Modern optical flow methods are often composed of a cascade of many independent steps or formulated as a black box neural network that is hard to interpret and analyze. In this work we seek for a plain, interpretable, but learnable…

Computer Vision and Pattern Recognition · Computer Science 2018-11-12 Christoph Vogel , Patrick Knöbelreiter , Thomas Pock

Holographic optical traps use the forces exerted by computer-generated holograms to trap, move and otherwise transform mesoscopically textured materials. This article introduces methods for optimizing holographic optical traps' efficiency…

Soft Condensed Matter · Physics 2009-11-11 Marco Polin , Kosta Ladavac , Sang-Hyuk Lee , Yael Roichman , David G. Grier

In this paper, we investigate a two dimensional isotropic harmonic oscillator on a time-dependent spherical background. The effect of the background can be represented as a minimally coupled field to the oscillator's Hamiltonian. For a…

Quantum Physics · Physics 2015-06-11 Ali Mahdifar , Behrouz Mirza , Rasoul Roknizadeh

Atmospheric wavefront prediction based on previous wavefront sensor measurements can greatly enhance the performance of adaptive optics systems. We propose an optimal linear approach based on the Empirical Orthogonal Functions (EOF)…

Instrumentation and Methods for Astrophysics · Physics 2017-07-04 Olivier Guyon , Jared Males

This paper proposes a hybrid synthesis method for multi-exposure image fusion taken by hand-held cameras. Motions either due to the shaky camera or caused by dynamic scenes should be compensated before any content fusion. Any misalignment…

Computer Vision and Pattern Recognition · Computer Science 2023-04-11 Ru Li , Guanghui Liu , Bing Zeng , Shuaicheng Liu