Image Analysis
Examiner and lecturer
Josef Bigun
Laboratory Exercises:
Laborartory Exercises are implemented in
Matlab.
If you feel that you lack adequate
knowledge in Matlab or would like to brush up your knowledge, you might find the
link lab0 useful. Please
note that lab0 and other exercises cited therein are voluntary and
there is no instruction opportunity scheduled for them.
The labs of the course comprise lab1 through lab10, only. For each
lab exercise, two hours of time is scheduled (with the lab-leader) in a
laboratory, equiped with adequate computers in the campus area (see
schedule below). Participants will need to have own (normal student)
accounts to participate to lab-exercises.
Litterature:
[1] J. Bigun, "Vision
with direction", Springer, (2006).
[2] Laboratory exercises are in Matlab
Exercise_1,
Exercise_2,
Exercise_3,
Exercise_4,
Exercise_5,
Exercise_6,
Exercise_7,
Exercise_8,
Exercise_9,
Exercise_10
Contents
Signal representation
Lab1 & Lab2
Hilbert space,
Schwarz inequality (Ch. 1-3)
Fourier
Coefficients (FC), Parseval relationship, Hermitian symmetry of
FC. (Ch. 4-5)
Fourier Transform
(FT) of continuous functions. (Ch. 6.1-6.2)
Discrete Fourier
Transform (DFT), Circular topology of DFT. (Ch. 6.3-6.4).
Lab3 & Lab4
Properties of FT
(DFT and FC): FT of box function, Conservation of Scalar Product,
Convolution (Ch. 7.1, 7.2, 7.3 )
Convolution with
separable filters, Translation under FT,
FT of Gaussian function (Ch. 7.4, 7.7, Table 7.1)
Signal
representation and sampling, Interpolation functions, Derivation,
Gaussians as interpolators (Ch. 8.1, 8.2, Ch. 9.2 )
Multi-resolution
analysis and coarseness
Lab5
Gaussian & Laplacian pyramid Ch. 9.1-9.5
Color
Lab6
Natural color images
Ch. 2.1-2.2, Ch. 2.4-2.6
Representing
artificial data by color images, especially "angle" data (See Laboratory exercise material and lecture slides)
Texture & Orientation
Lab7
Structure
tensor and local orientation Ch. 10.1-10.8, Ch.10.11
Color display of
orientation and its use as texture feature (See lab material)
Shape in binary images
Lab8
Histograms & Binarization,
Ch. 16.1 (and lab material)
Simple shape
parameters: Area, Perimeter, Circularity, Bounding box, Area moments;
First paragraph of Ch. 17.2; Ch. 17.3, 17.4, and Equations. 17.19-17.22
Systematic
approximation of boundary curves, Fourier descriptors Ch. 17.5
including Equation 17.41
Lab9
Recognition of
binary shape by Fourier descriptors. Equation 17.42 until the
end of Ch. 17
Lab10
Morphological
operators: Erosion,
Dilation, Thinning, opening, closing, inner and outer boundaries
Ch. 17.1 until Equation 17.6
Pattern
matching: Hit-Miss function (Last topic in Ch. 17.1)