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COL783: Digital Image Processing

Prem Kalra

[email protected]

h4p://www.cse.iitd.ac.in/~pkalra/col783

Department of Computer Science and Engineering

Indian InsEtute of Technology Delhi

(2)

Recap: Image Enhancement in Spatial Domain

Local Histogram Equaliza2on x

Local Neighborhood Intensity at x is changed considering

the local histogram in a neighborhood region

Averaging Filter: Simple, Weighted Average Gaussian

(Low Pass Filter)

Spa2al Filtering

(3)

Recap: Image Enhancement in Spatial Domain

Spa2al Filtering

Median Filter: Salt and Pepper Noise removal (Non Linear Filter)

Sharpening Filter: Enhance Details (High Pass Filter)

Gradient Filter: Roberts Prewi4

Sobel

High Boost Filter

(4)

Image Enhancement in Spatial Domain

Laplace Filter

In x direcEon second difference: f(x-1,y)-2f(x,y)+f(x+1,y) In y direcEon second difference: f(x,y-1)-2f(x,y)+f(x,y+1) The combined difference:

f(x-1,y)+f(x+1,y)+f(x-1,y)+f(x+1,y)-4f(x,y)

(5)

Image Enhancement in Spatial Domain

Laplace Filter

(6)

Image Enhancement in Spatial Domain

Image Subtrac2on Image Addi2on

g(x,y) = f(x,y) – h(x,y)

g(x,y) = f(x,y) + n(x,y) Uncorrelated

zero mean noise

(7)

Image Enhancement in Spatial Domain

Convolu2on

1D ConEnuous Domain

1/2 1

1

f(α) h(α)

1

(8)

Image Enhancement in Spatial Domain

Convolu2on

1D ConEnuous Domain

1/2 1 1

1

f(α) h(α)

h(-α) 1

-1

(9)

Image Enhancement in Spatial Domain

Convolu2on

1D ConEnuous Domain

1/2 1 1

1

f(α) h(α)

x

h(x-α) 1

-1

(10)

Image Enhancement in Spatial Domain

Convolu2on

1D ConEnuous Domain

f(α) 1

x h(x-α)

-1

f(α) 1

x h(x-α)

1 -1 f(α)* h(x-α)

1

1 1

2

1/2

(11)

Image Enhancement in Spatial Domain

0 0 0 0 1 0 0 0 0 0 1 2 3 4 5 5 4 3 2 1

0 0 0 0 1 0 0 0 0 0

1D Discrete Domain

Convolu2on

f(α) h(α)

h(-α)

Origin

(12)

Image Enhancement in Spatial Domain

0 0 0 0 1 0 0 0 0 0 1 2 3 4 5 5 4 3 2 1

0 0 0 0 1 0 0 0 0 0

1D Discrete Domain

Convolu2on

f(α) h(α)

h(x-α)

(13)

Image Enhancement in Spatial Domain

0 0 0 0 1 0 0 0 0 0 1 2 3 4 5 5 4 3 2 1

0 0 0 0 1 0 0 0 0 0

1D Discrete Domain

Convolu2on

f(α) h(α)

h(x-α)

(14)

Image Enhancement in Spatial Domain

0 0 0 0 1 0 0 0 0 0 1 2 3 4 5 5 4 3 2 1

0 0 0 0 1 0 0 0 0 0

1D Discrete Domain

Convolu2on

f(α) h(α)

h(x-α)

(15)

Image Enhancement in Spatial Domain

0 0 0 0 1 0 0 0 0 0 1 2 3 4 5 5 4 3 2 1

0 0 0 0 1 0 0 0 0 0

1D Discrete Domain

Convolu2on

f(α) h(α)

h(x-α)

(16)

Image Enhancement in Spatial Domain

0 0 0 0 1 0 0 0 0 0 1 2 3 4 5 5 4 3 2 1

0 0 0 0 1 2 3 4 5 0

1D Discrete Domain

Convolu2on

f(α) h(α)

h(x-α)

(17)

Image Enhancement in Spatial Domain

0 0 0 0 1 0 0 0 0 0 1 2 3 4 5 5 4 3 2 1

0 0 0 0 1 2 3 4 5 0 0

1D Discrete Domain

Convolu2on

f(α) h(α)

h(x-α)

(18)

Image Enhancement in Spatial Domain

0 0 0 0 1 0 0 0 0 0 1 2 3 4 5 5 4 3 2 1

0 0 0 0 1 2 3 4 5 0 0 0 0 0 0

1D Discrete Domain

Convolu2on

f(α) h(α)

h(x-α)

Result

(19)

Image Enhancement in Spatial Domain

Convolu2on

(20)

Halftoning

(21)

Halftoning

(22)

Halftoning

(23)

Halftoning

(24)

Halftoning

Floyed Steinberg Method

(25)

Halftoning

Floyed Steinberg Method

(26)

Referensi

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