1. Phase pattern denoising using a regularized cost function with complex-valued Markov random fields based on a discrete model
- Author
-
Li, Yan-Hua, Qu, Shi-Liang, Chen, Xiang-Jun, and Luo, Zhi-Yong
- Subjects
Markov processes -- Research ,Noise control -- Methods ,Noise control -- Technology application ,Object recognition (Computers) -- Methods ,Object recognition (Computers) -- Technology application ,Pattern recognition -- Methods ,Pattern recognition -- Technology application ,Fields, Algebraic -- Research ,Technology application ,Astronomy ,Physics - Abstract
We present a simple and effective method for denoising phase patterns based on a discrete model. The proposed filtering method transforms the image denoising problem to solving the energy diffusion problem of a system with complex-valued fields. We establish an appropriate cost function that uses the discrete form of complex-valued Markov random fields. The attractiveness of the proposed filtering method includes three points: the first is that the filtering process can be easily implemented using an iterative method, the second is that 2[pi] phase jumps are well preserved, and the third is its little computational effort. The performance of the proposed method is demonstrated by simulated and experimentally obtained phase patterns. [c] 2010 Optical Society of America OCIS codes: 100.3008, 110.3175.
- Published
- 2010