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We introduce a region-specific diffeomorphic metric mapping (RDMM) registration approach. RDMM is non-parametric, estimating spatio-temporal velocity fields which parameterize the sought-for spatial transformation. Regularization of these…

Computer Vision and Pattern Recognition · Computer Science 2019-11-12 Zhengyang Shen , François-Xavier Vialard , Marc Niethammer

Deep Convolutional Neural Networks (DCNNs) and their variants have been widely used in large scale face recognition(FR) recently. Existing methods have achieved good performance on many FR benchmarks. However, most of them suffer from two…

Computer Vision and Pattern Recognition · Computer Science 2021-06-28 Jing Xu , Tszhang Guo , Yong Xu , Zenglin Xu , Kun Bai

Image registration is a key technique in medical image analysis to estimate deformations between image pairs. A good deformation model is important for high-quality estimates. However, most existing approaches use ad-hoc deformation models…

Computer Vision and Pattern Recognition · Computer Science 2019-04-23 Marc Niethammer , Roland Kwitt , Francois-Xavier Vialard

Introduction: Quantitative Susceptibility Mapping (QSM) is generally acquired with full brain coverage, even though many QSM brain-iron studies focus on the deep grey matter (DGM) region only. Reducing the spatial coverage to the DGM…

Quantitative Methods · Quantitative Biology 2021-06-02 Xuanyu Zhu , Yang Gao , Feng Liu , Stuart Crozier , Hongfu Sun

Image registration has been widely studied over the past several decades, with numerous applications in science, engineering and medicine. Most of the conventional mathematical models for large deformation image registration rely on…

Computer Vision and Pattern Recognition · Computer Science 2022-06-30 Ho Law , Gary P. T. Choi , Ka Chun Lam , Lok Ming Lui

This article introduces a new physics-guided Machine Learning framework, with which we solve the generally non-invertible, ill-conditioned problems through an analytical approach and constrain the solution to the approximate inverse with…

Instrumentation and Methods for Astrophysics · Physics 2025-10-02 Leonora Kardum

Deep-learning-based methods for different applications have been shown vulnerable to adversarial examples. These examples make deployment of such models in safety-critical tasks questionable. Use of deep neural networks as inverse problem…

Machine Learning · Computer Science 2020-02-28 Ankit Raj , Yoram Bresler , Bo Li

This paper proposes a new framework and algorithms to address the problem of diffeomorphic registration on a general class of geometric objects that can be described as discrete distributions of local direction vectors. It builds on both…

Optimization and Control · Mathematics 2018-02-15 Hsi-Wei Hsieh , Nicolas Charon

By the Riemann-mapping theorem, one can bijectively map the interior of an $n$-gon $P$ to that of another $n$-gon $Q$ conformally. However, (the boundary extension of) this mapping need not necessarily map the vertices of $P$ to those $Q$.…

Differential Geometry · Mathematics 2014-01-27 Mayank Goswami , Xianfeng Gu , Vamsi P. Pingali , Gaurish Telang

Retinotopic mapping aims to uncover the relationship between visual stimuli on the retina and neural responses on the visual cortical surface. This study advances retinotopic mapping by applying diffeomorphic registration to the 3T NYU…

Image and Video Processing · Electrical Eng. & Systems 2024-05-06 Negar Jalili-Mallak , Yanshuai Tu , Zhong-Lin Lu , Yalin Wang

The challenge of mapping indoor environments is addressed. Typical heuristic algorithms for solving the motion planning problem are frontier-based methods, that are especially effective when the environment is completely unknown. However,…

Machine Learning · Computer Science 2022-03-01 Elchanan Zwecher , Eran Iceland , Sean R. Levy , Shmuel Y. Hayoun , Oren Gal , Ariel Barel

This paper discusses the mathematical framework for designing methods of large deformation matching (LDM) for image registration in computational anatomy. After reviewing the geometrical framework of LDM image registration methods, a…

Chaotic Dynamics · Physics 2015-04-09 M. Bruveris , F. Gay-Balmaz , D. D. Holm , T. S. Ratiu

We consider the problem of computing dense correspondences between non-rigid shapes with potentially significant partiality. Existing formulations tackle this problem through heavy manifold optimization in the spectral domain, given…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Souhaib Attaiki , Gautam Pai , Maks Ovsjanikov

The escalating parameter counts in modern deep learning models pose a fundamental challenge to efficient training and resolution of overfitting. We address this by introducing the \emph{Mapping Networks} which replace the high dimensional…

Computer Vision and Pattern Recognition · Computer Science 2026-02-24 Lord Sen , Shyamapada Mukherjee

Deep neural networks are increasingly used for pair-wise image registration. We propose to extend current learning-based image registration to allow simultaneous registration of multiple images. To achieve this, we build upon the pair-wise…

Image and Video Processing · Electrical Eng. & Systems 2020-10-02 Tycho F. A. van der Ouderaa , Ivana Išgum , Wouter B. Veldhuis , Bob D. de Vos

We propose DeepMapping, a novel registration framework using deep neural networks (DNNs) as auxiliary functions to align multiple point clouds from scratch to a globally consistent frame. We use DNNs to model the highly non-convex mapping…

Computer Vision and Pattern Recognition · Computer Science 2019-04-10 Li Ding , Chen Feng

Breast cancer is one of the leading causes of death globally, and thus there is an urgent need for early and accurate diagnostic techniques. Although ultrasound imaging is a widely used technique for breast cancer screening, it faces…

Image and Video Processing · Electrical Eng. & Systems 2025-02-11 Pandiyaraju V , Shravan Venkatraman , Pavan Kumar S , Santhosh Malarvannan , Kannan A

Full Waveform Inversion (FWI) is a standard algorithm in seismic imaging. Its implementation requires the a priori choice of a number of "design parameters", such as the positions of sensors for the actual measurements and one (or more)…

Numerical Analysis · Mathematics 2024-06-25 Shaunagh Downing , Silvia Gazzola , Ivan G. Graham , Euan A. Spence

We introduce a deep encoder-decoder architecture for image deformation prediction from multimodal images. Specifically, we design an image-patch-based deep network that jointly (i) learns an image similarity measure and (ii) the…

Computer Vision and Pattern Recognition · Computer Science 2017-04-03 Xiao Yang , Roland Kwitt , Martin Styner , Marc Niethammer

Medical ultrasound provides images which are the spatial map of the tissue echogenicity. Unfortunately, an ultrasound image is a low-quality version of the expected Tissue Reflectivity Function (TRF) mainly due to the non-ideal Point Spread…

Image and Video Processing · Electrical Eng. & Systems 2021-09-28 Sobhan Goudarzi , Hassan Rivaz
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