形态学联想记忆中对偶核的研究及改进

摘要

Combining the associative memory W robust in recalling patterns that are distorted due to erosive changes and the associative memory M robust in recalling patterns that are distorted due to dilative changes , this paper researches and improves the dual kernel , The dual kernel can be put together with the kernel to learn from other ’ s strong points to offset ones ’ own weakness and to make the effect of hetero -associative memories and pattern recognition better .In this paper , the necessary conditions of the dual kernel need to be meeting have been defined clearly, its properties have been researched , and a way to accelerate the search for dual kernel has been found . The dual kernel concept has been further extended in the scale space and its range of application expanded then its usability enhanced .Through simulation experiments of the character and true -color images , the dual kernel has a good performance of tolerating random noises .%首先利用形态学联想记忆W良好的抗腐蚀性和M良好的抗膨胀性，提出了对偶核的概念和方法，将核及其对偶核二者结合起来，以使异联想形态学记忆达到更好的效果。文中对对偶核需要满足的条件进行了界定，对其性质进行了研究，找到了一种加速寻找对偶核的方法，并在尺度空间下对对偶核概念作了进一步的扩充，扩大了其应用范围，增强了其实用性。通过数字和彩色图像的仿真实例验证了对偶核在抗随机噪声方面有良好的性能。