图象恢复和边缘提取的后验均值方法

The Posterior Mean Method of Image Restoring and Edge Extracting

本文将０－１损失改为均方损失，使损失函数更为合理。给出了相应的图象恢复与边缘提取算法和该算法收敛速度的精确估计。由于算法避免了模拟退火，极大地提高了算法的收敛速度，实验结果还表明，在边缘的定位精度，特别是困难的边缘角点、边缘交叉点处的定位精度，较现有方法有明显的提高。

In this paper,it is proposed to use the posterior mean instead of MAP￣[4],i.e.,to use square loss instead of 0-1 loss.The advantages are multiple:(1)much faster convergent speed.roughly 1/√ n versus 1/logn;(2)high precision in location of edges.especially for important corners,crossings and Y-shaped edges etc.;(3)more noise-resisting as indicated in[7].Both theoretical and experimental results are presented.