Stefan Karlsson/PersonalPage/Education/MultiScaleCourse

Multiscale and Multidimensional Analysis
Contact: Fernando Alonso-Fernandez, Stefan Karlsson

Multiscale and Multidimensional Analysis course (Autumn 2014)

This is the web page for the course Multiscale and Multidimensional Analysis.

Course information

Instructors: Fernando Alonso-Fernandez, Stefan Karlsson

Class time: The schedule for the course will be made ad hoc, using doodle or by agreement over email.

Class location: E5.

Office hours: by appoinment.

Contact: Stefan.Karlsson(AHTT) or feralo(AHTT)

Course description

The course is focused on the topic of multi-scale and multi-dimensional signal analysis. More particularly, it will provide with advanced concepts and techniques to extract useful information from signals of arbitrary dimension (such as audio (1D) and video (3D) signals), drawing on topics from the signal/image processing and computer vision fields.

There will be exercises made available to you during some modules, and a project at the end of the course. For each exercise there are several tasks for you to perform. These are to be completed and discussed during the sessions. Instructions on how to report on them will be given in the descriptions for the exercises. Communication WILL NOT be done through blackboard.

Office hours: There are no regularly scheduled office hours, but you can always arrange a meeting with the instructors. Just send an email or drop by.

Grading: by practical assignment

Prerequisites: linear algebra (vector and matrix operations), probability theory/statistics, signal processing, image processing and multi-variate calculus. The course assumes a programing background (primarily in Matlab).

Exercises and sessions (files will be made available before each session)

1. Linear scale space (Stefan): 1 WEEK

  • Waveletets (Gabor, Mexican Hat)
  • Pyramids (Gaussian, Laplacian, etc.)
  • Median filtering


2. Directionality analysis (Fernando): 1 WEEK

  • Structure tensor, HOGs, Gabor
  • Edges, corners

3. Non-linear scale-space (Stefan): 1.5 WEEK

  • Variational formulations
  • Non-linear filtering
  • De-noising


4. Feature analysis (Fernando): 1.5 WEEK


5. Applications for computer vision/object detection (Fernando, Stefan): 1 WEEK

Topics to be presented will include (but are not restricted to):

  • SIFT
  • Viola-Jones
  • Perona-Malik