广义二值形态算子的研究

Study on generalized binary morphology operator

基于布尔函数与形态算子关系,用秩函数取代结构化映射中的布尔函数,通过选取不同秩函数阈值的方法,对二值形态变换进行扩展和推广。提出了具有调节秩函数阈值的广义二值形态变换理论,以期为形态算子的应用以及新算法的研究提供新的思路。

Based on the relationship between the Boolean functions and morphological operators, the Boolean functions in the structural mapping are replaced by the rank function. By choosing the threshold of the rank function, the binary morphological transforms are extended. We hope the generalized morphological transform theory with the adjustable rank function threshold can provide an innovative idea for the researches of morphological operators and algorithm.