Multi-frame super-resolution reconstruction algorithm based on fourth-order partial differential equations regularization

作者：Huang Shu Ying^*; Yang Yong; Wang Guo Yu

来源：Journal of Central South University(Science and Technology), 2011, 42(SUPPL. 1): 647-650.

• Bicubic interpolation
• Energy functions
• Fourth order partial differential equations
• Fourth-order
• ILL-posed inverse problem
• Multi-frame
• Second-order partial differential equation
• Simulation experiments
• Super resolution
• Super-resolution image reconstruction
• Super-resolution reconstruction
• Suppressing noise
• Total variation

Super-resolution image reconstruction (SRIP) is a typical ill-posed inverse problem, which can be stabilized by using a valid regular. To overcome the blocky effects of the conventional used second-order partial differential equations (PDE), a novel fourth-order PDE based method for SRIP was proposed, which is formed by incorporating the fourth-order PDE regularization in the image reconstruction. The method was developed by defining a new energy function from 2-norm and fourth-order partial differential equations. The simulation experiments of the proposed method were compared with those of bi-cubic interpolation method and total variation algorithm. The results show that the proposed method has better performance in suppressing noise with preserving edge.

• 出版日期2011