Digital Image Processing

The mathematics behind the pretty pictures

Unlike many other branches of science, students of digital imagewarping benefit from the direct visual realization of mathematicalabstractions and concepts. As a result, readers are fortunate to haveimages clarify what mathematical notation sometimes obscures. Thismakes the study of digital image warping a truly fascinating and en-joyable endeavor.

– George Wolberg in a quote equally applicable to computer vision and digital image processing.

When it's too late to rethink your strategy.

Or when you can't afford to tell the truth.

Image formation / acquisition

Image pre-processing

Feature extraction

Image analysis

ComputerVision

Hierarchy of Operations

ImageProcessing

Origins: JPL Pasadena,Ranger 7 data; medicalimaging

The CCD Sensor

DSLR vs EV

Digital Representation

f(x,y) matrix 8-bit image

Intensity values = amount of rain

Adding colour

Noise Sources

Intensity adjustment

CommonIntensity Transformations

Spatial Filtering via Convolution

Locally adaptive!

1D example: bell

Demo: Smoothing &Other Masks

(Frequency domain?)

Lens Distortion Demo(Effects outside camera)

Function Minimisation

Other Physical Abberations

Mathematically Modelling a Problem in DIP

Example: Flat-field Correction(We can look at this later

if there is time)

Applications

Panorama Stitching

http://www.flickr.com/photos/gadl

False Colour Astronomical Imaging

CT Scans (Tomography)

Automated Rock Analysis

Super-ResolutionImaging

Super-ResolutionImaging

Final Thought:Seeing is not believing!