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Construction of optimal deformations is one of the long standing problems of computational mathematics. We consider the problem of computing quasi-isometric deformations with minimal possible quasi-isometry constant (global estimate for…

Recently deep neural networks have been widely and successfully applied in computer vision tasks and attracted growing interests in medical imaging. One barrier for the application of deep neural networks to medical imaging is the need of…

计算机视觉与模式识别 · 计算机科学 2018-07-06 Kuang Gong , Kyungsang Kim , Jianan Cui , Ning Guo , Ciprian Catana , Jinyi Qi , Quanzheng Li

The rapid growth of dermatological imaging and mobile diagnostic tools calls for systems that not only demonstrate empirical performance but also provide strong theoretical guarantees. Deep learning models have shown high predictive…

机器学习 · 计算机科学 2026-01-07 Rohit Kaushik , Eva Kaushik

Deep learning has emerged as a transformative methodology in modern cosmology, providing powerful tools to extract meaningful physical information from complex astronomical datasets. This paper implements a novel Bayesian graph deep…

宇宙学与河外天体物理 · 物理学 2026-01-28 Juan Alejandro Pinto Castro , Héctor J. Hortúa , Jorge Enrique García-Farieta , Roger Anderson Hurtado

The remarkable performance of deep neural networks (DNNs) currently makes them the method of choice for solving linear inverse problems. They have been applied to super-resolve and restore images, as well as to reconstruct MR and CT images.…

图像与视频处理 · 电气工程与系统科学 2021-06-01 Marija Vella , João F. C. Mota

Non-Euclidean constraints are inherent in many kinds of data in computer vision and machine learning, typically as a result of specific invariance requirements that need to be respected during high-level inference. Often, these geometric…

计算机视觉与模式识别 · 计算机科学 2017-09-26 Suhas Lohit , Pavan Turaga

The presence of inhomogeneous media between optical sensors and objects leads to distorted imaging outputs, significantly complicating downstream image-processing tasks. A key challenge in image restoration is the lack of high-quality,…

计算机视觉与模式识别 · 计算机科学 2025-04-22 Chu Chen , Han Zhang , Lok Ming Lui

We present a diffeomorphic image registration algorithm to learn spatial transformations between pairs of images to be registered using fully convolutional networks (FCNs) under a self-supervised learning setting. The network is trained to…

计算机视觉与模式识别 · 计算机科学 2020-10-06 Hongming Li , Yong Fan

Deep Matching (DM) is a popular high-quality method for quasi-dense image matching. Despite its name, however, the original DM formulation does not yield a deep neural network that can be trained end-to-end via backpropagation. In this…

计算机视觉与模式识别 · 计算机科学 2016-09-13 James Thewlis , Shuai Zheng , Philip H. S. Torr , Andrea Vedaldi

Metric learning aims to construct an embedding where two extracted features corresponding to the same identity are likely to be closer than features from different identities. This paper presents a method for learning such a feature space…

计算机视觉与模式识别 · 计算机科学 2018-12-04 Nicolai Wojke , Alex Bewley

Diffeomorphic registration frameworks such as Large Deformation Diffeomorphic Metric Mapping (LDDMM) are used in computer graphics and the medical domain for atlas building, statistical latent modeling, and pairwise and groupwise…

图像与视频处理 · 电气工程与系统科学 2024-07-31 Sven Dummer , Nicola Strisciuglio , Christoph Brune

Full-waveform inversion (FWI) is a powerful geophysical imaging technique that infers high-resolution subsurface physical parameters by solving a non-convex optimization problem. However, due to limitations in observation, e.g., limited…

数值分析 · 数学 2023-11-09 Xiong-Bin Yan , Keke Wu , Zhi-Qin John Xu , Zheng Ma

Deformable registration consists of finding the best dense correspondence between two different images. Many algorithms have been published, but the clinical application was made difficult by the high calculation time needed to solve the…

计算机视觉与模式识别 · 计算机科学 2021-11-25 Théo Estienne , Maria Vakalopoulou , Enzo Battistella , Theophraste Henry , Marvin Lerousseau , Amaury Leroy , Nikos Paragios , Eric Deutsch

This paper presents NimbleReg, a light-weight deep-learning (DL) framework for diffeomorphic image registration leveraging surface representation of multiple segmented anatomical regions. Deep learning has revolutionized image registration…

计算机视觉与模式识别 · 计算机科学 2026-04-29 Antoine Legouhy , Ross Callaghan , Nolah Mazet , Vivien Julienne , Hojjat Azadbakht , Hui Zhang

To improve the classification performance in the context of hyperspectral image processing, many works have been developed based on two common strategies, namely the spatial-spectral information integration and the utilization of neural…

计算机视觉与模式识别 · 计算机科学 2020-06-24 Yi Liang , Xin Zhao , Alan J. X. Guo , Fei Zhu

This paper presents a novel quadratic projection based feature extraction framework, where a set of quadratic matrices is learned to distinguish each class from all other classes. We formulate quadratic matrix learning (QML) as a standard…

计算机视觉与模式识别 · 计算机科学 2016-03-28 Yan Yan , Hanzi Wang , Si Chen , Xiaochun Cao , David Zhang

Diffeomorphic registration using optimal control on the diffeomorphism group and on shape spaces has become widely used since the development of the Large Deformation Diffeomorphic Metric Mapping (LDDMM) algorithm. More recently, a series…

最优化与控制 · 数学 2015-03-04 Sylvain Arguillère , Michael Miller , Laurent Younes

Deep learning is emerging as a new paradigm for solving inverse imaging problems. However, the deep learning methods often lack the assurance of traditional physics-based methods due to the lack of physical information considerations in…

图像与视频处理 · 电气工程与系统科学 2020-07-20 Dongdong Chen , Mike E. Davies

We propose the first general framework to automatically correct different types of geometric distortion in a single input image. Our proposed method employs convolutional neural networks (CNNs) trained by using a large synthetic distortion…

计算机视觉与模式识别 · 计算机科学 2019-09-10 Xiaoyu Li , Bo Zhang , Pedro V. Sander , Jing Liao

This paper provides a novel framework that learns canonical embeddings for non-rigid shape matching. In contrast to prior work in this direction, our framework is trained end-to-end and thus avoids instabilities and constraints associated…

计算机视觉与模式识别 · 计算机科学 2021-10-08 Abhishek Sharma , Maks Ovsjanikov