关于▽~2G算子的一些研究

RESEARCH CONCERNING THE ▽~2G OPERATOR

(1)文章研究了关于▽~2G作为边界算子的一些基本思想,虽然它们的出发点不同,但都得到了相似的结果。(2)文章讨论了▽~2G的生理学意义,用实验说明了▽~2G与视网膜上神经节细胞的感受野DOG非常相似。(3)文章分析了▽~2G的抗噪声干扰能力,给出了▽~2G在白噪声污染的四种典型边界模型下的零交偏差和输出信噪比的理论结果,并用实验作了验证,讨论了零交偏差和输出信噪比与▽~2G参数σ和输入信噪比的关系。

(1) Several basic ideas for ▽~2G as an edge detector are studied. Although these ideas are different, the results are similar. (2) The biological implications of ▽~2G are discussed and the experiments testify the similarity between ▽~2G and receptive fields DOG of retinal ganglion cells. (3) The noise resisting ability of ▽~2G is analysed. The bias of zero-crossing and the output signal-noise ratio under the models of four typical kinds of edges corrupted by white noise are given, and these theoretical results are confirmed by experiments. The relations between bias of zero-crossing and output signal-noise ration and between parameter σ of ▽~2G and input signal-noise ratio are presented.