activity
20112023
most citedRestoration of Manifold-Valued Images by Half-Quadratic Minimization

79 citations · 144 across the 25 of their papers we have counts for

collaborators
Showing math.NAShow all

5 papers · 1 filter

math.NA2019★ 1 cited

A Two-stage Classification Method for High-dimensional Data and Point Clouds

Xiaohao Cai, Raymond Chan, Xiaoyu Xie +1

High-dimensional data classification is a fundamental task in machine learning and imaging science. In this paper, we propose a two-stage multiphase semi-supervised classification…

math.NA2018★ 6 cited

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…

math.NA2015★ 79 cited

Restoration of Manifold-Valued Images by Half-Quadratic Minimization

Ronny Bergmann, Raymond H. Chan, Ralf Hielscher +2

The paper addresses the generalization of the half-quadratic minimization method for the restoration of images having values in a complete Riemannian manifold. We recall the half-q…

math.NA2014★ 7 cited

A FEAST Algorithm with oblique projection for generalized eigenvalue problems

Guojian Yin, Raymond H. Chan, Man-Chung Yeung

The contour-integral based eigensolvers are the recent efforts for computing the eigenvalues inside a given region in the complex plane. The best-known members are the Sakurai-Sugi…

math.NA2011

Vessel Segmentation in Medical Imaging Using a Tight-Frame Based Algorithm

Xiaohao Cai, Raymond Chan, Serena Morigi +1

Tight-frame, a generalization of orthogonal wavelets, has been used successfully in various problems in image processing, including inpainting, impulse noise removal, super-resolut…