4 papers
Optimal quadrature formulas for non-periodic functions in Sobolev space and its application to CT image reconstruction
Abdullo R. Hayotov, Soomin Jeon, Chang-Ock Lee +1
In the present paper, optimal quadrature formulas in the sense of Sard are constructed for numerical integration of the integral with i…
Fast Nonoverlapping Block Jacobi Method for the Dual Rudin--Osher--Fatemi Model
Chang-Ock Lee, Jongho Park
We consider nonoverlapping domain decomposition methods for the Rudin--Osher--Fatemi~(ROF) model, which is one of the standard models in mathematical image processing. The image do…
On an optimal quadrature formula for approximation of Fourier integrals in the space
Abdullo R. Hayotov, Soomin Jeon, Chang-Ock Lee
This paper deals with the construction of an optimal quadrature formula for the approximation of Fourier integrals in the Sobolev space of non-periodic, complex va…
A Finite Element Nonoverlapping Domain Decomposition Method with Lagrange Multipliers for the Dual Total Variation Minimizations
Chang-Ock Lee, Jongho Park
In this paper, we consider a primal-dual domain decomposition method for total variation regularized problems appearing in mathematical image processing. The model problem is trans…