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Digital Image Processing 0909.452.01/0909.552.01 Fall 2001. Lecture 13 December 10, 2001. Shreekanth Mandayam ECE Department Rowan University http://engineering.rowan.edu/~shreek/fall01/dip/. Plan. Course Review Final Project Presentations Lab. DIP: Details. - PowerPoint PPT Presentation
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S. Mandayam/ DIP/ECE Dept./Rowan University
Digital Image ProcessingDigital Image Processing
0909.452.01/0909.552.010909.452.01/0909.552.01 Fall 2001Fall 2001
Shreekanth MandayamECE Department
Rowan University
http://engineering.rowan.edu/~shreek/fall01/dip/
Lecture 13Lecture 13December 10, 2001December 10, 2001
S. Mandayam/ DIP/ECE Dept./Rowan University
PlanPlan• Course Review
• Final Project Presentations
• Lab
S. Mandayam/ DIP/ECE Dept./Rowan University
DIP: DetailsDIP: Details
G ray-level Histogram
Spatial
DF T DC T
Spectral
Digital Image Characteristics
Point Processing M asking Filtering
Enhancem ent
Degradation M odels Inverse Filtering W iener Filtering
Restoration
Pre-Processing
Inform ation Theory
LZW (gif)
Lossless
Transform -based (jpeg)
Lossy
Com pression
Edge Detection
Segm entation
Shape Descriptors Texture M orphology
Description
Digital Im age Processing
S. Mandayam/ DIP/ECE Dept./Rowan University
Recall: DCT FeaturesRecall: DCT Features
Fringe Pattern
DCT
DCT Coefficients
Zonal Mask
1 2
3
4
5
1 2 3 4 5
(1,1)(1,2)(2,1)(2,2)
.
.
.
FeatureVector
ArtificialNeuralNetwork
S. Mandayam/ DIP/ECE Dept./Rowan University
Image Segmentation Recall: Image Segmentation Recall: Edge DetectionEdge Detection
f(x,y) Gradient Mask
fe(x,y)
-1 -2 -10 0 01 2 1
-1 0 1-2 0 2-1 0 1
S. Mandayam/ DIP/ECE Dept./Rowan University
Recall: 1-D DFTRecall: 1-D DFT• Discrete Domains
• Discrete Time: k = 0, 1, 2, 3, …………, N-1• Discrete Frequency: n = 0, 1, 2, 3, …………, N-1
• Discrete Fourier Transform
• Inverse DFT
Equal time intervals
Equal frequency intervals
1N
0k
nkN2
j;e ]k[x]n[X
1N
0n
nkN2
j;e ]n[X
N1
]k[x
n = 0, 1, 2,….., N-1
k = 0, 1, 2,….., N-1
S. Mandayam/ DIP/ECE Dept./Rowan University
Description: Description: Fourier DescriptorsFourier Descriptors
demos/demo8fd/
S. Mandayam/ DIP/ECE Dept./Rowan University
Image MomentsImage Moments2-D continuous function f(x,y), the moment of order (p+q) is:
....2 ,1 ,0,
),(
qp
dydxyxfyxm qppq
Central moment of order (p+q) is:
00
01
00
10 ;
where
),()()(
m
my
m
mx
dydxyxfyyxx qppq
S. Mandayam/ DIP/ECE Dept./Rowan University
Image Moments (contd.)Image Moments (contd.)
Normalized central moment of order (p+q) is:
,.....3 ,2,for
;12
where
;00
qp
qp
pqpq
A set of seven invariant moments can be derived from pq
S. Mandayam/ DIP/ECE Dept./Rowan University
Image TexturesImage Textures
The USC-SIPI Image Databasehttp://sipi.usc.edu/
Grass Sand Brick wall
S. Mandayam/ DIP/ECE Dept./Rowan University
originX B
Erosion X} B :{x = B X x
X B
Dilation } X B̂ :{x = B X x
origin BXX B
Morphological OperationsMorphological Operations
S. Mandayam/ DIP/ECE Dept./Rowan University
origin
X
X B = (X B) B Opening
B X B
origin
X B = (X B) B Closing
X B X
B
Morphological OperationsMorphological Operations
S. Mandayam/ DIP/ECE Dept./Rowan University
Morphological Operations: Morphological Operations: MatlabMatlab
BWMORPH Perform morphological operations on binary image.
BW2 = BWMORPH(BW1,OPERATION) applies a specific morphological operation to the binary image BW1.
BW2 = BWMORPH(BW1,OPERATION,N) applies the operation N times. N can be Inf, in which case the operation is repeated until the image no longer changes.
OPERATION is a string that can have one of these values:
'close' Perform binary closure (dilation followed by erosion)
'dilate' Perform dilation using the structuring elementones(3)
'erode' Perform erosion using the structuring elementones(3)
'fill' Fill isolated interior pixels (0's surrounded by1's)
'open' Perform binary opening (erosion followed bydilation)
'skel' With N = Inf, remove pixels on the boundariesof objects without allowing objects to break apart
demos/demo9morph/
S. Mandayam/ DIP/ECE Dept./Rowan University
Lab 4: Digital Image Lab 4: Digital Image CompressionCompression
http://engineering.rowan.edu/~shreek/fall01/dip/lab4.html