Recovery of surfaces and functions in high dimensions: sampling theory and links to neural networks [0.03%]
高维下的曲面和函数恢复：采样理论与神经网络的关系
Qing Zou,Mathews Jacob
Qing Zou
Several imaging algorithms including patch-based image denoising, image time series recovery, and convolutional neural networks can be thought of as methods that exploit the manifold structure of signals. While the empirical performance of ...
Accelerated Optimization in the PDE Framework Formulations for the Active Contour Case [0.03%]
基于PDE框架的加速优化算法及其在活动轮廓中的实现
Anthony Yezzi,Ganesh Sundaramoorthi,Minas Benyamin
Anthony Yezzi
Following the seminal work of Nesterov, accelerated optimization methods have been used to powerfully boost the performance of first-order, gradient based parameter estimation in scenarios where second-order optimization strategies are eith...
Solving 2D Fredholm Integral from Incomplete Measurements Using Compressive Sensing [0.03%]
基于压缩感知的不完备数据二维Fredholm积分方程求解方法研究
Alexander Cloninger,Wojciech Czaja,Ruiliang Bai et al.
Alexander Cloninger et al.
We present an algorithm to solve the two-dimensional Fredholm integral of the first kind with tensor product structure from a limited number of measurements, with the goal of using this method to speed up nuclear magnetic resonance spectros...
Spectral Embedding Norm: Looking Deep into the Spectrum of the Graph Laplacian [0.03%]
谱图拉普拉斯算子的深层光谱的探究：谱嵌入范数
Xiuyuan Cheng,Gal Mishne
Xiuyuan Cheng
The extraction of clusters from a dataset which includes multiple clusters and a significant background component is a non-trivial task of practical importance. In image analysis this manifests for example in anomaly detection and target de...
Parameterized joint reconstruction of the initial pressure and sound speed distributions for photoacoustic computed tomography [0.03%]
基于光学声学计算机断层扫描的初始压力和声速分布参数联合重建算法
Thomas P Matthews,Joemini Poudel,Lei Li et al.
Thomas P Matthews et al.
Accurate estimation of the initial pressure distribution in photoacoustic computed tomography (PACT) depends on knowledge of the sound speed distribution. However, the sound speed distribution is typically unknown. Further, the initial pres...
Joakim Andén,Amit Singer
Joakim Andén
In cryo-electron microscopy, the three-dimensional (3D) electric potentials of an ensemble of molecules are projected along arbitrary viewing directions to yield noisy two-dimensional images. The volume maps representing these potentials ty...
MULTI-ENERGY CONE-BEAM CT RECONSTRUCTION WITH A SPATIAL SPECTRAL NONLOCAL MEANS ALGORITHM [0.03%]
基于空间谱非局部均值算法的多能量锥束CT重建方法
Bin Li,Chenyang Shen,Yujie Chi et al.
Bin Li et al.
Multi-energy computed tomography (CT) is an emerging medical image modality with a number of potential applications in diagnosis and therapy. However, high system cost and technical barriers obstruct its step into routine clinical practice....
Off-the-Grid Recovery of Piecewise Constant Images from Few Fourier Samples [0.03%]
基于傅里叶测量的分段常数图像离网恢复方法研究
Greg Ongie,Mathews Jacob
Greg Ongie
We introduce a method to recover a continuous domain representation of a piecewise constant two-dimensional image from few low-pass Fourier samples. Assuming the edge set of the image is localized to the zero set of a trigonometric polynomi...
A forward-adjoint operator pair based on the elastic wave equation for use in transcranial photoacoustic computed tomography [0.03%]
基于弹性波方程用于颅脑光声计算机断层扫描的正算子和伴算子对的研究
Kenji Mitsuhashi,Joemini Poudel,Thomas P Matthews et al.
Kenji Mitsuhashi et al.
Photoacoustic computed tomography (PACT) is an emerging imaging modality that exploits optical contrast and ultrasonic detection principles to form images of the photoacoustically induced initial pressure distribution within tissue. The PAC...
Boris Landa,Yoel Shkolnisky
Boris Landa
As modern scientific image datasets typically consist of a large number of images of high resolution, devising methods for their accurate and efficient processing is a central research task. In this paper, we consider the problem of obtaini...