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Structure from Motion (SfM) is a critical task in computer vision, aiming to recover the 3D scene structure and camera motion from a sequence of 2D images. The recent pose-only imaging geometry decouples 3D coordinates from camera poses and…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Xinrui Li , Qi Cai , Yuanxin Wu

Stochastic process exhibiting power-law slopes in the frequency domain are frequently well modeled by fractional Brownian motion (fBm). In particular, the spectral slope at high frequencies is associated with the degree of small-scale…

Methodology · Statistics 2017-09-13 J. M. Lilly , A. M. Sykulski , J. J Early , S. C. Olhede

This paper proposes consistent estimators for transformation parameters in semiparametric models. The problem is to find the optimal transformation into the space of models with a predetermined regression structure like additive or…

Statistics Theory · Mathematics 2008-12-18 Oliver Linton , Stefan Sperlich , Ingrid Van Keilegom

Diffusion magnetic resonance imaging is sensitive to the microstructural properties of brain tissue. However, estimating clinically and scientifically relevant microstructural properties from the measured signals remains a highly…

Image and Video Processing · Electrical Eng. & Systems 2024-02-27 Leevi Kerkelä , Kiran Seunarine , Filip Szczepankiewicz , Chris A. Clark

We propose a versatile deep image compression network based on Spatial Feature Transform (SFT arXiv:1804.02815), which takes a source image and a corresponding quality map as inputs and produce a compressed image with variable rates. Our…

Image and Video Processing · Electrical Eng. & Systems 2021-08-24 Myungseo Song , Jinyoung Choi , Bohyung Han

We study the problem of parameter estimation for the homogenization limit of multiscale systems involving fractional dynamics. In the case of stochastic multiscale systems driven by Brownian motion, it has been shown that in order for the…

Statistics Theory · Mathematics 2025-05-14 Pablo Ramses Alonso-Martin , Horatio Boedihardjo , Anastasia Papavasiliou

Image registration is the inference of transformations relating noisy and distorted images. It is fundamental in computer vision, experimental physics, and medical imaging. Many algorithms and analyses exist for inferring shift, rotation,…

Data Analysis, Statistics and Probability · Physics 2019-02-21 Colin B. Clement , Matthew Bierbaum , James P. Sethna

The characteristic feature of semi-selfsimilar process is the invariance of its finite dimensional distributions by certain dilation for specific scaling factor. Estimating the scale parameter $\lambda$ and the Hurst index of such processes…

Statistics Theory · Mathematics 2012-07-11 Saeid Rezakhah , Anne Philippe , Navideh Modarresi

We provide the construction of a set of square matrices whose translates and rotates provide a Parseval frame that is optimal for approximating a given dataset of images. Our approach is based on abstract harmonic analysis techniques.…

Image and Video Processing · Electrical Eng. & Systems 2019-09-05 Davide Barbieri , Carlos Cabrelli , Eugenio Hernández , Ursula Molter

We construct fractional Brownian motion (fBm), sub-fractional Brownian motion (sub-fBm), negative sub-fractional Brownian motion (nsfBm) and the odd part of fBm in the sense of Dzhaparidze and van Zanten (2004) by means of limiting…

Probability · Mathematics 2012-03-14 Tomasz Bojdecki , Anna Talarczyk

Estimates of image gradients play a ubiquitous role in image segmentation and classification problems since gradients directly relate to the boundaries or the edges of a scene. This paper proposes an unified approach to gradient estimation…

Computer Vision and Pattern Recognition · Computer Science 2016-05-10 Anish Acharya , Uddipan Mukherjee , Charless Fowlkes

With the fast growth of communication networks, the video data transmission from these networks is extremely vulnerable. Error concealment is a technique to estimate the damaged data by employing the correctly received data at the decoder.…

Multimedia · Computer Science 2016-10-26 Seyed Mojtaba Marvasti-Zadeh , Hossein Ghanei-Yakhdan , Shohreh Kasaei

This work is concerned with the ill-posed inverse problem of estimating turbulent flows from the observation of an image sequence. From a Bayesian perspective, a divergence-free isotropic fractional Brownian motion (fBm) is chosen as a…

Applications · Statistics 2014-03-14 Patrick Héas , Frédéric Lavancier , Souleymane Kadri-Harouna

A promising approach to accurate positioning of robots is ground texture based localization. It is based on the observation that visual features of ground images enable fingerprint-like place recognition. We tackle the issue of efficient…

Computer Vision and Pattern Recognition · Computer Science 2021-09-06 Jan Fabian Schmid , Stephan F. Simon , Rudolf Mester

While vision transformers achieve significant breakthroughs in various image restoration (IR) tasks, it is still challenging to efficiently scale them across multiple types of degradations and resolutions. In this paper, we propose…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Yawei Li , Bin Ren , Jingyun Liang , Rakesh Ranjan , Mengyuan Liu , Nicu Sebe , Ming-Hsuan Yang , Luca Benini

Accurate calibration of internal parameters is a crucial yet challenging prerequisite for 3D reconstruction using light field cameras. In this paper, we propose a linear fractional transformation(LFT) parameter $\alpha$ to decoupled the…

Computer Vision and Pattern Recognition · Computer Science 2025-11-07 Zhong Chen , Changfeng Chen

Most man-made environments, such as urban and indoor scenes, consist of a set of parallel and orthogonal planar structures. These structures are approximated by the Manhattan world assumption, in which notion can be represented as a…

Computer Vision and Pattern Recognition · Computer Science 2018-04-16 Kyungdon Joo , Tae-Hyun Oh , Junsik Kim , In So Kweon

Recent works with an implicit neural function shed light on representing images in arbitrary resolution. However, a standalone multi-layer perceptron shows limited performance in learning high-frequency components. In this paper, we propose…

Computer Vision and Pattern Recognition · Computer Science 2022-03-30 Jaewon Lee , Kyong Hwan Jin

Methods for medical image registration infer geometric transformations that align pairs/groups of images by maximising an image similarity metric. This problem is ill-posed as several solutions may have equivalent likelihoods, also…

Computer Vision and Pattern Recognition · Computer Science 2024-03-19 Aisha L. Shuaibu , Ivor J. A. Simpson

In finance, the price of a volatile asset can be modeled using fractional Brownian motion (fBm) with Hurst parameter $H>1/2.$ The Black-Scholes model for the values of returns of an asset using fBm is given as, [Y_t=Y_0…

Probability · Mathematics 2012-08-14 Mine Caglar , Ceren Vardar
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