摘要：本文研究了基于p(x)调和映射的变分图像恢复模型，得到关于能量泛函极小解的存在唯一性，导出了相应的演化方程。实验结果表明，此模型结合了TV非迷向扩散模型以及高斯迷向扩散的优点，在保持轮廓的基础上，减少了“块状”效应，并且提高了计算效率。

Abstract：In this paper, we studied a variational model in image restoration based on p(x) harmonic mapping and acquired the existence and uniqueness of minimized energy function. Then we educe the corresponding evolution equation. From the experimental results, the proposed model show its advantages of combining anisotropic total variational(TV) diffusion model with Gaussian isotropic diffusion model, since it can not only reduce the “blocky” effect while preserving edges, but also improves computing efficiency.