spatial filtering (neighborhood operations)

1. Lecture6: Spatial Filtering (Neighborhood Operations)
Examples
©2017Eng.Marwa_M_Ahmeid Page 1
1-The following figures show
(a) a 3-bit image of size 5-by-5 image in the square, with x and y coordinates
specified,
(b) a Laplacian filter and
(c) a low-pass filter
Compute the following:
(a) The output of a 3 × 3 mean (average) filter at (3, 3).
(b) The output of the 3 × 3 Laplacian filter shown above at (3, 3).
(c) The output of the 3 × 3 low-pass filter shown above at (3, 3).
(d) The histogram of the whole image
Solution
a) 3.67
b) 16
c) 3.59
d) histogram of the whole image:
2-A 4 x 4 gray-scale original image f(x,y) is given below:
f(x,y) = 12 10 8 6
10 8 6 4
8 6 4 2
6 4 2 0
Compute the filtered output images after passing through
a) the spatial linear filter as specified by the mask w1 (by using zero-padding of
the original image).

2. Lecture6: Spatial Filtering (Neighborhood Operations)
Examples
©2017Eng.Marwa_M_Ahmeid Page 2
b) a 3x3 median filter (by using zero-padding of the original image).