Course syllabus

Image Analysis

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

Valid for: 2020/21
Decided by: PLED F/Pi
Date of Decision: 2020-04-01

General Information

Main field: Machine Learning, Systems and Control.
Compulsory for: MMSR1
Elective for: BME4-sbh, BME4-br, C5, D4-bg, D4-mai, E4-mt, E4-bg, F4, F4-bg, F4-bm, L5-gi, Pi4-biek, Pi4-bam
Language of instruction: The course will be given in English on demand


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

Competences and skills
For a passing grade the student must


Basic mathematical concepts: Image transforms, Discrete Fourier Transform, Fast Fourier Transform.

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: Maximum A Posterori (MAP) estimations, simulation.

Pattern recognition: Classification, SVM (Support Vector Machine), Principal Component Analysis (PCA), learning.


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

Examination details

Grading scale: TH - (U,3,4,5) - (Fail, Three, Four, Five)
Assessment: Compulsory computer exercises and assignments. Approved results on these are enough to pass the course. To get a higher grade, a written and an oral test are required.

The examiner, in consultation with Disability Support Services, may deviate from the regular form of examination in order to provide a permanently disabled student with a form of examination equivalent to that of a student without a disability.


Assumed prior knowledge: FMAF05 Systems and Transforms, or similar (for example FMAF10 Applied Mathematics - Linear Systems).
The number of participants is limited to: 140
Selection: Incoming qualified exchange students have priority to 10 places. The ranking among such applicants is performed by the course coordinator based on relevant courses taken. Among the remaining applicants priority is given according to the number of completed university credits within the program. Priority is given to students enrolled on programmes that include the course in their curriculum. Among such students priority is given to students in the Master's Programme in Machine Learning, Systems and Control, for whom the course is compulsory.
The course overlaps following course/s: FMA170, FMA172, MATC20

Reading list

Contact and other information

Director of studies: Anders Holst,
Course administrator: Studerandeexpeditionen,
Course homepage: