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Variational Problems and Level Set Methods in Computer Vision - Theory and Applications

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Author

  • Jan Erik Solem

Summary, in English

Current state of the art suggests the use of variational formulations for solving a variety of computer vision problems. This thesis deals with such variational problems which often include the optimization of curves and surfaces. The level set method is used throughout the work, both as a tool in the theoretical analysis and for constructing practical algorithms. One frequently occurring example is the problem of recovering three-dimensional (3D) models of a scene given only a sequence of images. Other applications such as segmentation are also considered.



The thesis consists of three parts. The first part contains a review of background material and the level set method. The second part contains a collection of theoretical contributions such as a gradient descent framework and an analysis of several variational curve and surface problems. The third part contains contributions for applications such as a framework for open surfaces and variational surface fitting to different types of data.

Publishing year

2006

Language

English

Document type

Dissertation

Publisher

Mathematics (Faculty of Technology)

Topic

  • Mathematics

Keywords

  • Mathematics
  • level set methods
  • computer vision
  • variational problems
  • Matematik

Status

Published

Supervisor

ISBN/ISSN/Other

  • ISBN: 978-91-628-6926-7

Defence date

29 September 2006

Defence time

13:15

Defence place

Ubåtshallen, i sal U:301, Malmö Högskola

Opponent

  • Nikos Paragios (Professor)