Search Results for author: Roland Glowinski

Found 5 papers, 1 papers with code

Elastica Models for Color Image Regularization

no code implementations18 Mar 2022 Hao liu, Xue-Cheng Tai, Ron Kimmel, Roland Glowinski

Recently, the authors proposed a color elastica model, which minimizes both the surface area and elastica of the image manifold.

An Operator-Splitting Method for the Gaussian Curvature Regularization Model with Applications to Surface Smoothing and Imaging

no code implementations4 Aug 2021 Hao liu, Xue-Cheng Tai, Roland Glowinski

In our method, we decouple the full nonlinearity of Gaussian curvature from differential operators by introducing two matrix- and vector-valued functions.

Image Denoising

Bilinear Optimal Control of an Advection-reaction-diffusion System

no code implementations7 Jan 2021 Roland Glowinski, Yongcun Song, Xiaoming Yuan, Hangrui Yue

However, due to the additional divergence-free constraint on the control variable and the nonlinear relation between the state and control variables, it is challenging to compute the gradient and the optimal stepsize at each CG iteration, and thus nontrivial to implement the CG method.

Optimization and Control 49M41, 35Q93, 49J20

A Color Elastica Model for Vector-Valued Image Regularization

no code implementations19 Aug 2020 Hao Liu, Xue-Cheng Tai, Ron Kimmel, Roland Glowinski

Here, we introduce an addition to the Polyakov action for color images that minimizes the color manifold curvature.

Discrete Dynamical System Approaches for Boolean Polynomial Optimization

1 code implementation21 Dec 2019 Yi-Shuai Niu, Roland Glowinski

We have tested our ODE approaches and compared with the classical nonlinear optimization solver IPOPT and a quadratic binary formulation approach (QB-G) as well as an exhaustive method using parallel computing techniques.

Optimization and Control Dynamical Systems 90C09, 90C10, 90C27, 90C30, 35Q90, 65K05

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