SSBA Summer School 2007

Digital Geometry and Mathematical Morphology
14 - 17 August, Uppsala

The SSBA summer school of 2007 is hosted by Centre for Image Analysis in Uppsala.

The summer school is sponsored by


2007-11-20   All reports are now available in pdf format on the internal page.
2007-08-13   Final schedule ready and the internal page updated with info.
2007-07-02   An internal page is available for course particiapants.
2007-07-02   The registration is now closed.
2007-05-21   The registration for the summer school is now open.


The course will be held at Centre for Image Analysis, House 2,
Polacksbacken, Uppsala University, Uppsala.
Travel directions to CBA are found here.
More information about Uppsala and links to hotels can be found at Uppsala Tourism.


Professor Christer Kiselman, Dept. of Mathematics, Uppsala University
Dr Pierre Soille, JRC, Ispra, Italy

Computer Exercises and Assignment

There will be two scheduled computer exercises during the course where the participants will use MATLAB to apply morphological operations in practice. The Image processing toolbox in MATLAB contains many basic morphological operations which will be used in the exercises, e.g.:

  • Erosion/Dilation
  • Opening/Closing
  • Watershed transformation
  • Distance transformations
  • h-min/h-max

Each participant should also select a topic for her individual project. The project can be applied or theoretical and should correspond to one week of work. The results of the project work should be presented in a written report in order to achieve full credits for the course.


PhD Students who solve the assignment get 3 Swedish credit points (4.5 ECTS credit points). The examiner is Ingela Nyström, Centre for Image Analysis, Uppsala University.

Contact information

For more information about the SSBA summer school contact Ingela Nyström.


The course will be free of charge for PhD students and advanced undergraduate students in image analysis and computer vision. For other participants the fee is 3000 SEK. All participants must be members of SSBA.
Lunches, a social dinner, and an excursion are included in addition to the course itself. Travel and accomodation are not covered.


The course will start Tuesday August 14 at 12:00 with lunch, and end on Friday August 17, 2007 after lunch. We walk from CBA at 12:00 to the lunch restaurant together on August 14.

Tuesday 14
12:00 - 13:15 Lunch at Sven Dufva.
13:15 - 16:00
  • Discrete models vs. models based on real numbers. Why digital geometry? Distance transforms. Infimal convolution. (Christer Kiselman)
  • Chamfer distances. Comparing distances. (Christer Kiselman)
  • Introduction to MM and properties used for characterising MM operators. (Pierre Soille)
  • 16:00 Social get-together directly after the last lecture. Something to eat and drink will be served and there will be lighter sports activites like beach volleyball.
    Wednesday 15
    9:15 - 12:00
  • Digitisation. Digital straight lines and planes as Diophantine approximations of real straight lines and planes. (Christer Kiselman)
  • Erosions and Dilations: definition, properties, link with rank operators, on the choice of the structuring element, morphological gradients, decomposition. (Pierre Soille)
  • Opening and closing: definition, properties, top-hat transformations, top-hat contrast, multi-scale gradients, grey scale convex hulls. (Pierre Soille)
  • 12:00 - 13:15 Lunch at Sven Dufva.
    13:15 - 17:00 Computer exercise
    Thursday 16
    9:15 - 12:00
  • Geodesic transformations: geodesic erosions and dilations, self-dual geodesic transformation, morphological reconstruction, on the choice of the mask and marker images. Segmentation: watersheds and marker controlled segmentation. (Pierre Soille)
  • Convexity. (Christer Kiselman)
  • Digital straight lines and planes as convex sets. (Christer Kiselman)
  • 12:00 - 13:15 Lunch at Sven Dufva.
    13:15 - 17:00 Computer exercise
    18:30 Excursion with social dinner. Boat trip on the Fyris river with m/s Kung Carl Gustaf. The boat leaves at 19:00. We board the boat at 18:30. See separate map for details.
    Friday 17
    9:15 - 12:00
  • Applications to the analysis of geospatial data. (Pierre Soille)
  • Topology. The Khalimsky line. The Khalimsky plane. Khalimsky straight line segments and planes. Khalimsky curves and surfaces. (Christer Kiselman)
  • 12:00 - 13:15 Lunch at Sven Dufva.


    Examples of hotels in Uppsala.
    Please contact the hotels directly for current room rates.




    Hotel Uppsala +46 18 4805000 +46 18 4805050
    Grand Hotell Hörnan +46 18 139380 +46 18 120311
    First Hotel Linné +46 18 102000 +46 18 137597
    Hotel Gillet +46 18 681800 +46 18 681818
    Park Inn Uppsala +46 18 681100 +46 18 681109

    Welcome to Uppsala in August!