摘要
完备格上的形态学理论,是图像处理的主要数学理论依据之一,而膨胀与腐蚀又是最基本的形态学算子,文中利用满足一定条件的一族膨胀,引入了一类新的形态学算子,并用此类算子定义了完备格中的闭元素与开元素,同时证明了闭(开)元素的全体具有良好的拓扑特性。
Mathematical morphology on complete lattices is one of the main basic theories for image processing, while dilation and erosion are the elementary morphological operators. In terms of families of dilation or erosion with particular properties, some morphological operators of new types are introduced, through which the closed and open elements on lattices are defined. It is shown that the class of closed （open） elements is of a nice topo- logical character.
出处
《苏州科技学院学报（自然科学版）》
CAS
2013年第2期1-6,共6页
Journal of Suzhou University of Science and Technology （Natural Science Edition）
基金
国家自然科学基金资助项目(11271282)
苏州科技学院科研基金资助项目
关键词
完备格
膨胀与腐蚀
附益
开元与闭元
complete lattice
dilation and erosion
adjunction
closed and open element
