no code implementations • 18 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.
no code implementations • 4 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.
no code implementations • 7 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
no code implementations • 19 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.
1 code implementation • 21 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