@phdthesis{Schroeter2012,
  author    = {Schr{\"o}ter, Martin},
  title     = {Newton Methods for Image Registration},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-71490},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2012},
  abstract  = {Consider the situation where two or more images are taken from the same object. After taking the first image, the object is moved or rotated so that the second recording depicts it in a different manner. Additionally, take heed of the possibility that the imaging techniques may have also been changed. One of the main problems in image processing is to determine the spatial relation between such images. The corresponding process of finding the spatial alignment is called "registration". In this work, we study the optimization problem which corresponds to the registration task. Especially, we exploit the Lie group structure of the set of transformations to construct efficient, intrinsic algorithms. We also apply the algorithms to medical registration tasks. However, the methods developed are not restricted to the field of medical image processing. We also have a closer look at more general forms of optimization problems and show connections to related tasks.},
  subject      = {Newton-Verfahren},
  language  = {en}
}
@phdthesis{vonHeusinger2009,
  author    = {von Heusinger, Anna},
  title     = {Numerical Methods for the Solution of the Generalized Nash Equilibrium Problem},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-47662},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2009},
  abstract  = {In the generalized Nash equilibrium problem not only the cost function of a player depends on the rival players' decisions, but also his constraints. This thesis presents different iterative methods for the numerical computation of a generalized Nash equilibrium, some of them globally, others locally superlinearly convergent. These methods are based on either reformulations of the generalized Nash equilibrium problem as an optimization problem, or on a fixed point formulation. The key tool for these reformulations is the Nikaido-Isoda function. Numerical results for various problem from the literature are given.},
  subject      = {Spieltheorie},
  language  = {en}
}