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The automatic seamless image stitching technology is a new problem in the field of computer vision and pattern recognition. This paper brings forward a new seamless image stitching algorithm based on the mutual correlation which combines the least absolute value method with the gray value information. The gray characteristic value on the image edge is obtained and the minimum of correlation function is regarded as the matching points to realize image stitching, the effect of which in computer simulation is good.

In this paper, a abstarct model is build for maze. Integrated maze was divided into many fragments, graphic traversal algorithm was used to classify those fragments into different category. By searching in the category, the wrong way of the maze can be eliminate, and the real way can be find easily.

Chasing problem is not only a common problem in reality including the classical Turtle Rabbit Race problem, but also a representative mathematical model which has widely application. In this paper, we study chasing models in some cases appearing in anti-smuggling problem. Different conditions are given to restrict the escaping and chasing way, thus more common situations are discussed and some new meaningful results are obtained.