Receptive Field of Visual Cortex Works Follow Multi-Resolution Statistics?

How does man's vision system work? In some cross research fields like neurobiology, psychology and robotics researchers have been work hard to answer the question for long time. Now on visual cortex neuroscience has accumulate much experimental data and some theories like information redundancy reduction, sparse coding have given their interpretation of experiments, but understanding information processing as a whole , especially to make a representation of image with basic conceptions of receptive field and direction column, is still a difficult task. In our work, together with consideration of psychology and sparse coding a multi-resolution statistics scheme is given, signal grads statistics is carried out according to resolution level, strength and direction in space respectively. By comparing the distribution of nerve cell on visual cortex with one of neural network which works follow multi-resolution statistics, the similarity of both tell the arithmetic meanings of receptive field and direction column. With modern neuroscience experimental means the validation of the point of view in this article may be done in principle.