1. Digital Image Processing Homework 4 TA. Yu-Lun Liu VC Lab. Dec.04, 2007

2. Homework Specification  Image source: lena in gray scale  Operation: Closing  Structure element: flat-top structuring element of size 5 x 5 pixels, height 5

3. Dilation & Erosion in Binary Images Set Structure element Dilation Erosion

4. Dilation & Erosion in Gray-Scale Images  Dilation Definition:  Erosion Definition:

5. Dilation & Erosion in Gray-Scale 1D Example  Dilation in 1D  Erosion in 1D Erosion result Dilation result

6. Closing in Gray-Scale Images  As in binary images, closing is the dilation of f by b, followed by a erosion of the result by b Closing