6 citations · 33 across the 21 of their papers we have counts for
5 papers · 1 filter
A Thresholding Based Operator-Splitting Method for Curvature-Regularized Surface Reconstruction
Yang Hu, Hao Liu, Dong Wang +1
Surface reconstruction from point clouds is a fundamental problem in computational geometry with broad applications in computer graphics, medical imaging, and manufacturing. In thi…
Finite Difference Nets: A Deep Recurrent Framework for Solving Evolution PDEs
Cheng Chang, Liu Liu, Tieyong Zeng
There has been an arising trend of adopting deep learning methods to study partial differential equations (PDEs). In this paper, we introduce a deep recurrent framework for solving…
A deep neural network approach on solving the linear transport model under diffusive scaling
Liu Liu, Tieyong Zeng, Zecheng Zhang
In this work, we propose a learning method for solving the linear transport equation under the diffusive scaling. Due to the multiscale nature of our model equation, the model is c…
Overlapping Domain Decomposition Methods for Ptychographic Imaging
Huibin Chang, Roland Glowinski, Stefano Marchesini +3
In ptychography experiments, redundant scanning is usually required to guarantee the stable recovery, such that a huge amount of frames are generated, and thus it poses a great dem…
Linkage between piecewise constant Mumford-Shah model and ROF model and its virtue in image segmentation
Xiaohao Cai, Raymond Chan, Carola-Bibiane Schonlieb +2
The piecewise constant Mumford-Shah (PCMS) model and the Rudin-Osher-Fatemi (ROF) model are two important variational models in image segmentation and image restoration, respective…