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mathcad_ median filtering in t...

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mathcad_ median filtering in two dimensionGRAPHING AND VISUALIZATION

Median Filtering in Two Dimensions

This QuickSheet illustrates smoothing of a 2D image using 3 x 3 or 5 x 5 median filtering. S := READBMP( "cross" ) g( x) := if( rnd( 1) < 0.1 , 255 , x) → S := g( S) First example Adds noise

M := READBMP( "mona" ) K := submatrixM ( , 60 , 160 , 50 , 150) → K := g( K) Second example

Input parameter k is 3 or 5 or 7. . . medflt ( M , k) := I0 ← J0 ← k1
2

k1
2

I1 ← rows ( M) J1 ← cols ( M) for i ∈ I0 .. I1 for j ∈ J0 .. J1

k+1
2

k+1
2

for r ∈ 0 .. k 1 for s ∈ 0 .. k 1 Ar , s ← M
i+ r k1
2

, j+s

k 1
2

Ni , j ← median ( A) N T := medflt ( S , 5) Noisy image Smoothed image

S

T

L := medflt ( K , 3)

K

L

……
mathcad_ median filtering in t...
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