A general adaptive variational model for image restoration based on first and second order derivatives

作者：Zheng, Shixiu^*; Pan, Zhenkuan; Zhao, Ximei; Wang, Guodong

来源：Journal of Computational Information Systems, 2012, 8(24): 10169-10175.

• Adaptive models
• Color image restoration
• First order
• First-order models
• Numerical experiments
• Second order derivatives
• Staircase effect
• Variational methods
• Variational models

A general adaptive variational model of image restoration using edge detect function, first order and second order derivatives is proposed to overcome the staircase effects of first order models. Its Split Bregman algorithm is designed which leads to fast and easy implementation. They are extended to color image restoration by using coupled first order and second order derivatives. Numerical experiments validate all the models and algorithms proposed in this paper.

• 出版日期2012-12-15