一个加权中值滤波N次迭代猜想的证明

PROOF OF THE CONJECTURE ON A N TIMES ITERATED WM FILTER

证明了（１）中提出的关于一个加权中值滤波的如下猜想：加权中值滤波＜１、１、２、１＞的Ｎ次迭代与一个加权中值滤波相等，也证明了在一定意义下这种加权中值滤波是唯一的。

This Paper proves the following conjecture presented in [1]: The N times iterated WM filter <1,1,2,1>￣N is equal to a WM filter,and also proves that the WM filter is u- nique in Certain sense.