author = {Nemitz, O. and Rumpf, M. and Tasdizen, T. and Whitaker, R.},
  title = {Anisotropic Curvature Motion for Structure Enhancing Smoothing of
	3{D} {M}{R} Angiography Data},
  journal = {Journal of Mathematical Imaging and Vision},
  year = {2007},
  volume = {27},
  pages = {217--229},
  number = {3},
  abstract = {We propose a novel concept of shape prior for the processing of tubular
	structures in 3D images. It is based on the notion of an anisotropic
	area energy and the corresponding geometric gradient flow. The anisotropic
	area functional incorporates a locally adapted template as a shape
	prior for tubular vessel structures consisting of elongated, ellipsoidal
	shape models. The gradient flow for this functional leads to an anisotropic
	curvature motion model, where the evolution is driven locally in
	direction of the considered template. The problem is formulated in
	a level set framework, and a stable and robust method for the identification
	of the local prior is presented. The resulting algorithm is able
	to smooth the vessels, pushing solution toward elongated cylinders
	with round cross sections, while bridging gaps in the underlying
	raw data. The implementation includes a finite-element scheme for
	numerical accuracy and a narrow band strategy for computational efficiency.},
  doi = {10.1007/s10851-006-0645-2},
  pdf = { 1},
  owner = {bibtex}