Course syllabus

Bildanalys
Image Analysis

FMAN20, 7,5 credits, A (Second Cycle)

Valid for: 2014/15
Decided by: Education Board B
Date of Decision: 2014-04-08

General Information

Elective for: BME4-sbh, BME4-br, C5, D4-bg, E4-mt, E4-bg, F4, F4-bg, F4-bm, L5-gi, Pi4-bg, Pi4-biek
Language of instruction: The course will be given in English on demand

Aim

The main aim of the course is to give a basic introduction to theory and mathematical methods used in image analysis, to an extent that will allow the student to handle industrial image processing problems. In addition the aim is to help the student develop his or her ability in problem solving, both with or without a computer. A further aim is to prepare the student for further studies in e.g. computer vision, multispectral image analysis and statistical image analysis.

Learning outcomes

Knowledge and understanding
For a passing grade the student must

• be able to explain clearly, and to independently use, basic mathematical concepts in image analysis, in particular regarding transform theory (in space as well as in the frequency domain), image enhancement methods, image compression and pattern recognition.
• be able to describe and give an informal explanation of the mathematical theory behind some central image processing algorithms (both deterministic and stochastic).
• have an understanding of the statistical principles used in machine learning

Competences and skills
For a passing grade the student must

• in an engineering manner be able to use computer packages to solve problems in image analysis.
• be able to show good capability to independently identify problems which can be solved with methods from image analysis, and be able to choose an appropriate method.
• be able to independently apply basic methods in image processing to problems which are relevant in industrial applications or research.
• with proper terminology, in a well structured way and with clear logic be able to explain the solution to a problem in image analysis.

Contents

Basic mathematical concepts: Image transforms, DFT, FFT.

Image enhancement: Grey level transforms, filtering.

Image restoration: Filterings, inverse methods.

Scale space theory: Continuous versus discrete theory, interpolation.

Extraction of special features: Filtering, edge and corner detection.

Segmentation: graph-methods, active contours, mathematical morphology.

Bayesian image handling: MAP estimations, simulation.

Pattern recognition: Classification, SVM, PCA, learning.

Registration

Machine Learning: Training, testing, generalization, hypothesis spaces.

Examination details

Grading scale: TH
Assessment: Compulsory computer exercises and assignments. Approved results on these are enough to pass the course. To get a higher grade, a written or oral test is required.

Parts
Code: 0114. Name: Image Analysis, Theory Course.
Credits: 7,5. Grading scale: TH.
Code: 0214. Name: Image Analysis, Laboratory Work.
Credits: 0. Grading scale: UG.

Admission

Required prior knowledge: FMAF05 Systems and Transforms, or equivalent (for example FMAF10 Applied Mathematics - Linear Systems).
The number of participants is limited to: No
The course overlaps following course/s: FMA170, FMA172

Reading list

• Szeliski, R.: Computer Vision, Algorithms and Applications. Springer, 2010, ISBN: 9781848829343. It is possible to pass the course without owning the book, using material available through the course home page.

Contact and other information

Course coordinator: Anders Holst, studierektor@math.lth.se
Course homepage: http://www.ctr.maths.lu.se/course/imagean/2013/