Exploring Structural Sparsity of Coil Images from 3-Dimensional Directional Tight Framelets for SENSE Reconstruction

Y Li, RH Chan, L Shen, X Zhuang, R Wu, Y Huang… - SIAM Journal on Imaging …, 2024 - SIAM
Each coil image in a parallel magnetic resonance imaging (pMRI) system is an imaging slice
modulated by the corresponding coil sensitivity. These coil images, structurally similar to …

Fast multi-grid methods for minimizing curvature energies

Z Zhang, K Chen, K Tang… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
The geometric high-order regularization methods such as mean curvature and Gaussian
curvature, have been intensively studied during the last decades due to their abilities in …

Skull surface reconstruction with Euler's Elastica model from point cloud data

H Niu, Z Pan, J Zhao, M Zhou - Journal of Computer-Aided Design & …, 2022 - jcad.cn
In order to reconstruct accurate smooth implicit surfaces from skull point cloud data with
complex topological relations, a variational level set method based on Euler's Elastica …

Convergence analysis of a proximal linearized ADMM algorithm for nonconvex nonsmooth optimization

M Yashtini - arxiv preprint arxiv:2009.05361, 2020 - arxiv.org
In this paper, we consider a proximal linearized alternating direction method of multipliers
(PL-ADMM) for solving linearly constrained nonconvex and possibly nonsmooth …

Improved Sensitivity Encoding Parallel Magnetic Resonance Imaging Reconstruction Algorithm Based on Efficient Sum of Outer Products Dictionary Learning

J Duan, Y Su - Journal of Shanghai Jiaotong University (Science), 2023 - Springer
Sensitivity encoding (SENSE) is a parallel magnetic resonance imaging (MRI)
reconstruction model by utilizing the sensitivity information of receiver coils to achieve image …

Variable Metric Composite Proximal Alternating Linearized Minimization for Nonconvex Nonsmooth Optimization

M Yashtini - arxiv preprint arxiv:2209.06799, 2022 - arxiv.org
In this paper we propose a proximal algorithm for minimizing an objective function of two
block variables consisting of three terms: 1) a smooth function, 2) a nonsmooth function …

[PDF][PDF] Exploring Structural Sparsity of Coil Images from 3-Dimensional Directional Tight Framelets for SENSE Reconstruction Li, Yanran; Chan, Raymond H.; Shen …

J Liu - 2024 - scholars.cityu.edu.hk
Each coil image in a parallel magnetic resonance imaging (pMRI) system is an imaging slice
modulated by the corresponding coil sensitivity. These coil images, structurally similar to …

颅骨点云曲面重建的 Euler's Elastica 模型

牛慧勤, 潘振宽, 赵俊莉, 周明全 - 计算机辅助设计与图形学学报, 2022 - jcad.cn
为从具有复杂拓扑关系的颅骨点云数据中重建精确, 光滑的隐式曲面, 提出了基于Euler's
Elastica 的变分水**集方法. 首先, 将Euler's Elastica 作为**则化约束引入变分能量泛函 …