Edge detection is an important part of image processing. This paper makes some improvement to the Pal.King fuzzy edge detection algorithm and brings forward a fast fuzzy edge detection algorithm. The fast algorithm not only simplifies the complex G and G -1 calculation in Pal.King algorithm

but also determines the optimal threshold value of degree of dependence of transformation by experiments

and reduces the iteration times. Finally

two group of experiments are put forward

and it can be seen by comparison that the fast algorithm not only improves the Pal.King algorithm efficiency

but also obtains preferable detection effects comparing to the Pal.King algorithm. In addition

it can be seen from the result of the experiments that the fast algorithm not only is applicable for general images

but also is the same with the remote sense images

and the fast algorithm has powerful ability in detection fuzzy edge and exiguous edge. The fast algorithm has superiority capability

and it is a promising and applied image processing algorithm.