“…These operations are defined as an ordered combinations of fundamental operations, dilation and erosion, which can be written as 7) (8where and denote the operators opening and closing, respectively, and and denote the operators, erosion, and dilation, respectively. If the translation operation is defined as (9) then the operators erosion and dilation can be written as (10) (11) where is the image and is the structuring element. Note that denotes the reflection of with regard to the origin, denotes a point in space, and is a point in the image .…”