宁 娣,岳晨曦.基于最大后验概率的la范数去噪方法[J].中南民族大学学报自然科学版,2017,(1):128-131
基于最大后验概率的la范数去噪方法
Denoising Method Based on the MAP with la Norm
  
DOI:
中文关键词: 图像去噪  la 范数模型  TV 范数模型  小波去噪  最大后验概率
英文关键词: image denoising  la norm model  TV norm model  wavelet denoising  MAP
基金项目:全国统计科学研究项目(2014LY020)
作者单位
宁 娣,岳晨曦 中南民族大学 数学与统计学学院武汉 430074 
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中文摘要:
      从观测模型和先验模型入手,深入分析了在图像去噪过程中如何在边缘保护和去除噪声之间寻找平衡, 针对 TV 先验模型在边缘保护和纹理保护中的不足,提出了新的基于最大后验概率的 la 范数去噪方法, 该方法更 好地保护了图像的边缘,同时使得在平滑区域产生的阶梯效应减少. 数值实验进一步验证了该方法的正确性和有 效性.
英文摘要:
      In the paper, from the observation model and a priori model, the problem of image denoising is discussed, and how to find a balance between edge protection and image denoising is analyzed in depth. In addition, aiming at the advantages and disadvantages of TV prior model on the edge protection and texture protect, the new denoising method named la norm based on Maximum A Posteriori Probability( MAP) is put forward. This method provides better protection of the edge of the image. Furthermore, the staircase effect in smooth regions is reduced. Numerical simulations are further provided to verify the feasibility and effectiveness of the theoretical results.
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