期刊
SIAM JOURNAL ON IMAGING SCIENCES
卷 12, 期 2, 页码 1190-1230出版社
SIAM PUBLICATIONS
DOI: 10.1137/18M1226361
关键词
Euler's elastica energy; operator splitting; image smoothing; space projection
类别
资金
- National Natural Science Foundation of China [61702083, 61772003, 61876203]
- Hong Kong Baptist University [RG(R)-RC/17-18/02-MATH, FRG2/17-18/033]
- Kennedy Wong Foundation
Euler's elastica model has a wide range of applications in image processing and computer vision. However, the nonconvexity, the nonsmoothness, and the nonlinearity of the associated energy functional make its minimization a challenging task, further complicated by the presence of high order derivatives in the model. In this article we propose a new operator-splitting algorithm to minimize the Euler elastica functional. This algorithm is obtained by applying an operator-splitting based time discretization scheme to an initial value problem (dynamical flow) associated with the optimality system (a system of multivalued equations). The subproblems associated with the three fractional steps of the splitting scheme have either closed form solutions or can be handled by fast dedicated solvers. Compared with earlier approaches relying on ADMM (Alternating Direction Method of Multipliers), the new method has, essentially, only the time discretization step as free parameter to choose, resulting in a very robust and stable algorithm. The simplicity of the subproblems and its modularity make this algorithm quite efficient. Applications to the numerical solution of smoothing test problems demonstrate the efficiency and robustness of the proposed methodology.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据