VECTOR MEDIAN FILTERS
VECTOR MEDIAN FILTERS
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DOI：
10.1109/5.54807
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发表时间：
1990-04-01
影响因子：
20.6
通讯作者：
NEUVO, Y
中科院分区：
文献类型：
--
作者：
ASTOLA, J;HAAVISTO, P;NEUVO, Y
介绍了处理向量值信号的两种非线性算法。该算法被称为向量中位数运算，是使用最大似然估计方法从两个多维概率密度函数导出的。潜在的概率密度是指数的，结果操作具有与中值滤波器非常相似的性质。在矢量中值法中，向量值输入信号的样本被处理为矢量。该操作固有地利用了信号分量之间的相关性，使滤波器具有一些理想的特性。研究了向量中值滤波器的一般性质和根信号。向量中值运算与线性滤波相结合，使滤波器具有更好的噪声衰减和非常好的边缘响应。提出了一种实现长向量中值滤波器的有效算法。讨论了滤波器的噪声衰减问题，并给出了在速度滤波中的应用。
Two nonlinear algorithms for processing vector-valued signals are introduced. The algorithms, called vector median operations, are derived from two multidimensional probability density functions using the maximum-likelihood-estimate approach. The underlying probability densities are exponential, and the resulting operations have properties very similar to those of the median filter. In the vector median approach, the samples of the vector-valued input signal are processed as vectors. The operation inherently utilizes the correlation between the signal components, giving the filters some desirable properties. General properties as well as the root signals of the vector median filters are studied. The vector median operation is combined with linear filtering, resulting in filters with improved noise attenuation and filters with very good edge response. An efficient algorithm for implementing long vector median filters is presented. The noise attenuation of the filters is discussed, and an application to velocity filtering is shown.