maximize


@inproceedings{BeRaRu06,
  author = {Berkels, Benjamin and R{\"{a}}tz, Andreas and Rumpf, Martin and Voigt,
	Axel},
  title = {Identification of grain boundary contours at atomic scale},
  booktitle = {First International Conference on Scale Space Methods and Variational
	Methods in Computer Vision},
  year = {2007},
  volume = {4485},
  series = {Lecture Notes in Computer Science},
  pages = {765--776},
  publisher = {Springer},
  abstract = {Nowadays image acquisition in materials science allows the resolution
	of grains at atomic scale. Grains are material regions with different
	lattice orientation which are typically not in equilibrium. At the
	same time, new microscopic simulation tools allow to study the dynamics
	of such grain structures. Single atoms are resolved in the experimental
	and in the simulation results. A qualitative study of experimental
	images and simulation results and the comparison of simulation and
	experiment requires the robust and reliable extraction of mesoscopic
	properties from these microscopic data sets. Based on a Mumford--Shah
	type functional, grain boundaries are described as free discontinuity
	sets at which the orientation parameter for the lattice jumps. The
	lattice structure itself is encoded in a suitable integrand depending
	on the local lattice orientation. In addition the approach incorporates
	solid--liquid interfaces. The resulting Mumford--Shah functional
	is approximated with a level set active contour model following the
	approach by Chan and Vese. The implementation is based on a finite
	element discretization in space and a step size controlled gradient
	descent algorithm.},
  doi = {10.1007/978-3-540-72823-8_66},
  pdf = {http://numod.ins.uni-bonn.de/research/papers/public/BeRaRu06.pdf 1}
}