France, led by Matheron and Serra. A random approach was also developed, based on novel mathematical problems in image processing pdf models.

Most of the work in that period was developed in Fontainebleau. In the 1980s and 1990s, MM gained a wider recognition, as research centers in several countries began to adopt and investigate the method. MM started to be applied to a large number of imaging problems and applications. The basic idea in binary morphology is to probe an image with a simple, pre-defined shape, drawing conclusions on how this shape fits or misses the shapes in the image.

The erosion of the dark-blue square by a disk, resulting in the light-blue square. For example, the erosion of a square of side 10, centered at the origin, by a disc of radius 2, also centered at the origin, is a square of side 6 centered at the origin. Example application: Assume we have received a fax of a dark photocopy. Everything looks like it was written with a pen that is bleeding.

Erosion process will allow thicker lines to get skinny and detect the hole inside the letter “o”. The dilation of the dark-blue square by a disk, resulting in the light-blue square with rounded corners. In the above example, the dilation of the square of side 10 by the disk of radius 2 is a square of side 14, with rounded corners, centered at the origin. The radius of the rounded corners is 2. Example application: Dilation is the dual operation of the erosion. Figures that are very lightly drawn get thick when “dilated”.

The opening of the dark-blue square by a disk, resulting in the light-blue square with round corners. In the case of the square of side 10, and a disc of radius 2 as the structuring element, the opening is a square of side 10 with rounded corners, where the corner radius is 2. Example application: Let’s assume someone has written a note on a non-soaking paper and that the writing looks as if it is growing tiny hairy roots all over. Opening essentially removes the outer tiny “hairline” leaks and restores the text.