CS 523 (CS 423/EE 533)

Computer Vision

Lecture 1INTRODUCTION TO COMPUTER VISION

About the Course

2

http://vvgl.ozyegin.edu.tr

Objective

Introduction to the theory, tools, and algorithms of 3D computer vision

Instructor

Assist. Prof. M. Furkan Kıraç

E-mail: furkan.kirac@ozyegin.edu.tr

Room: 219

Hours

Wednesdays, 10:40-13:30, Room: 241

Grading

Projects: 6x10%

Final Exam: 40%

Syllabus

3

Short Projects:Late submissions are not accepted. Copying answers from others’ work is not permitted.

Final Exam:At least 3 of the 6 Short Projects must be turned in by the due date in order to qualify for the Final Exam. No make-up will be given for the Final Exam. Students can take the Bütünleme exam if they miss the Final Exam.

 

Grading

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Computer Vision: Algorithms and Applications, Richard Szeliski, Springer, 2010.

Computer Vision: A Modern Approach, David A. Forsyth and Jean Ponce, Prentice-Hall, 2002.

  Introductory Techniques for 3D Computer

Vision, Emanuele Trucco and Alessandro Verri, Prentice-Hall 1998.

Recommended Books

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Learning OpenCV, Gary Bradski and Adrian Kaehler, O'Reilly, 2008.

OpenCV 2 Computer Vision Application Programming Cookbook, Robert Laganiere, Packt Publishing, 2011.

Mastering OpenCV with Practical Computer Vision Projects, Daniel Lelis Baggio, et al., Packt Publishing, 2012.

 

OpenCV Resources

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Week Lectures

24 September 2014 Lecture 1

1 October 2014 Lecture 2

8 October 2014 Lecture 3

15 October 2014 Lecture 4

22 October 2014 Lecture 5

29 October 2014 Lecture 6

5 November 2014 Lecture 7

12 November 2014 Lecture 8

19 November 2014 Lecture 9

26 November 2014 Lecture 10

3 December 2014 Lecture 11

10 December 2014 Lecture 12

17 December 2014 Lecture 13

24 December 2014 Lecture 14

31 December 2014 Lecture 15 ?

Applications of Computer Vision

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Image Stitching

Image Matching

Object Recognition

3D Reconstruction

Interior Modeling

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3D Augmented Reality

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3D Camera Tracking

15

16

Stereo Conversion for 3DTV

Depth Estimation and View Interpolation for 3DTV

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Human Tracking

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License Plate Recognition

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Human Pose Estimation

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Course Outline

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3D geometry fundamentals Transformations and projections Camera calibration Feature detection and matching Image stitching Single view geometry Two view geometry Multiple view geometry Stereo vision and depth estimation 3D structure from motion 3D camera tracking

Topics to be covered

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Relation to Other Fields

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Computer Vision

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Figure from "Computer Vision: Algorithms and Applications,” Richard Szeliski, Springer, 2010.

Lights and materials Shading Texture mapping Environment effects Animation 3D scene modeling 3D character modeling (OpenGL)

Computer Graphics

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Computer Graphics

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Resampling Enhancement Noise filtering Restoration Reconstruction Segmentation Image compression (MATLAB and OpenCV)

Image Processing Topics

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Image Processing

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Spatio-temporal sampling Motion estimation Frame-rate conversion Multi-frame noise filtering Multi-frame restoration Super-resolution Video compression (MATLAB & OpenCV)

Video Processing Topics

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Video acquisition-display chain

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Capture Representation Coding

Transmission Decoding Rendering

Human vs. Computer

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Optical illusions

Actual vs. Perceived Intensity (Mach band effect)

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Brightness Adaptation of the Eye

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Optical illusions

Optical illusions

Why is Computer Vision Difficult?

Human perception

Human perception

Human Visual System

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Human Eye

Photoreceptors: Rods & Cones

Rods vs. Cones

RodsPerceive brightness onlyNight vision

ConesPerceive colorDay visionRed, green, and blue cones

Cone Distribution

64%

32%

2%

Blue is less-focused

Visual Threshold drop during Dark Adaptation

Spatial Resolution of the Human Eye Photopic (bright-light) vision:

Approximately 7 million cones Concentrated around fovea

Scotopic (dim-light) vision Approximately 75-150 million rods Distributed over retina

(HDTV: 1920x1080 = 2 million pixels)

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Frequency Responses of Cones

Same amount of energy produces different sensations of brightness at different wavelengths

Green wavelength contributes most to the perceived brightness.

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Trichromatic Color Mixing

Any color can be obtained by mixing three primary colors Red, Green, Blue (RGB) with the right proportion

valuessTristimulu :,3,2,1

kk

kk TCTC

Image Formation

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Human Eye vs. Camera

Camera components Eye components

Lens Lens, cornea

Shutter Iris, pupil

Film Retina

Cable to transfer images Optic nerve to send the incident light information to the brain

Human Vision

Image formation

Pin-Hole Camera Model

Point Spread Effect

Out-of-Focus Blur

Shrinking the Aperture

Converging Lens

Correction with a Converging Lens

Perfectly In-Focus for a Certain Distance Only

“circle of confusion”

Depth-of-Field

Depth-of-Field

“Sharp Image” within Depth-of-Field due to Finite Sensor Size

NZFZ

Focal Length (F) and Depth (Z)

Z

YFy

F

y

Z

Y

Z

XFx

Aperture Size Affects Depth-Of-Field

f / 5.6

f / 32

Aperture

2dA

Camera f-number

d

Ff

2

f

FA

Exposure Time

Motion Blur Effect due to Finite Exposure Time

Decrease in aperture implies…

Increase in depth-of-field Decrease in motion blur Decrease in exposure

2D Image Representation

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Image Capture

(Courtesy Gonzalez & Woods)

Digital Image Capture

Digital Image Capture

Light sensitive diodes convert photons to electrons

Color Image Capture: Single vs. Three CCD Arrays

RGB splitter(three separate imaging sensors, higher resolution)

Bayer filter(cheaper but introduces spatial resolution loss)

Digital Camera Issues

Noise caused by low light

Color color fringing (chromatic aberration) artifacts from Bayer patterns

Blooming charge overflowing into neighboring pixels

In-camera processing over-sharpening can produce halos

Compression creates blocking artefacts

Digitization: Sampling and Quantization

Over Sampling

Over Quantization

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85

Images as Matrices of Integers

126 127 126

125 126 127

123 126 125

128 127 124

123 120 144

121 128 155

126 123 127

120 122 124

119 121 123

122 142 162

130 157 161

145 162 164

158

163

160

164

166

165

m

n

(0,0)

0 ≤ s(m,n) ≤ 255 } quantization

0 ≤ m ≤ M-1

0 ≤ n ≤ N-1

MxN 8-bit gray-scale (intensity, luminance) image

sampling

0 → black, 255 → white

Images as Functions

We can think of an image as a function, f, from R2 to R: f( x, y ) gives the intensity at position ( x, y ) Realistically, we expect the image only to be defined

over a rectangle, with a finite range:• f: [a,b]x[c,d] [0,1]

A color image is just three functions pasted together. We can write this as a “vector-valued” function:

( , )

( , ) ( , )

( , )

r x y

f x y g x y

b x y

RGB Color Bands (Channels)

Red

Green Blue

YUV Bands

Also called Y Cb Cr Y : Luma

Cb : Chrominance_blueCr : Chrominance_red

Y

U (Cb)

V(Cr)

Color

YUV-RGB Conversion

Summary

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Human visual system

Pin-hole camera model

Image representation

Summary

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How to find camera parameters? Where is the camera, where is it directed at? What is the movement of the camera?

Where are the objects located in 3D? What are the dimensions of objects in 3D? What is the 3D structure of a scene?

How to process stereo video? How to detect and match image features? How to stitch images?

Problems to be Addressed

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