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

Solem, Jan Erik LU (2006)
Abstract
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... (More)
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. (Less)
Please use this url to cite or link to this publication:
author
supervisor
opponent
  • Professor Paragios, Nikos, Ecole Centrale de Paris, Frankrike
organization
publishing date
type
Thesis
publication status
published
subject
keywords
Mathematics, level set methods, computer vision, variational problems, Matematik
pages
203 pages
publisher
Mathematics (Faculty of Technology)
defense location
Ubåtshallen, i sal U:301, Malmö Högskola
defense date
2006-09-29 13:15:00
ISBN
978-91-628-6926-7
language
English
LU publication?
yes
id
54b48a41-a57a-430e-bac3-26051a708e4e (old id 25690)
date added to LUP
2016-04-01 16:54:38
date last changed
2018-11-21 20:45:10
@phdthesis{54b48a41-a57a-430e-bac3-26051a708e4e,
  abstract     = {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.<br/><br>
<br/><br>
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.},
  author       = {Solem, Jan Erik},
  isbn         = {978-91-628-6926-7},
  language     = {eng},
  publisher    = {Mathematics (Faculty of Technology)},
  school       = {Lund University},
  title        = {Variational Problems and Level Set Methods in Computer Vision - Theory and Applications},
  year         = {2006},
}