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Distance Regularized Level Set Evolution and Its Application to Image Segmentation
TLDR
A new variational level set formulation in which the regularity of the level set function is intrinsically maintained during thelevel set evolution called distance regularized level set evolution (DRLSE), which eliminates the need for reinitialization and thereby avoids its induced numerical errors. Expand
Level set evolution without re-initialization: a new variational formulation
TLDR
A new variational formulation for geometric active contours that forces the level set function to be close to a signed distance function, and therefore completely eliminates the need of the costly re-initialization procedure. Expand
Snakes, shapes, and gradient vector flow
  • Xu Chen, J. Prince
  • Mathematics, Computer Science
  • IEEE Trans. Image Process.
  • 1 March 1998
TLDR
This paper presents a new external force for active contours, which is computed as a diffusion of the gradient vectors of a gray-level or binary edge map derived from the image, and has a large capture range and is able to move snakes into boundary concavities. Expand
Gradient vector flow: a new external force for snakes
  • Xu Chen, J. Prince
  • Mathematics, Computer Science
  • Proceedings of IEEE Computer Society Conference…
  • 17 June 1997
TLDR
A new external force for active contours is developed, which is computed as a diffusion of the gradient vectors of a gray-level or binary edge map derived from the image, which has a large capture range and forces active contour regions into concave regions. Expand
Generalized gradient vector flow external forces for active contours
TLDR
This paper generalizes the GVF formulation to include two spatially varying weighting functions, which improves active contour convergence to long, thin boundary indentations, while maintaining other desirable properties of GVf, such as an extended capture range. Expand
A Topology Preserving Level Set Method for Geometric Deformable Models
TLDR
This work presents a new class of geometric deformable models designed using a novel topology-preserving level set method, which achieves topology preservation by applying the simple point concept from digital topology. Expand
Finiteness of algebraic fundamental groups
  • Xu Chen
  • Mathematics
  • Compositio Mathematica
  • 19 October 2012
Abstract We show that the algebraic local fundamental group of any Kawamata log terminal singularity as well as the algebraic fundamental group of the smooth locus of any log Fano variety are finite.
CRUISE: Cortical reconstruction using implicit surface evolution
TLDR
The method combines a fuzzy tissue classification method, an efficient topology correction algorithm, and a topology-preserving geometric deformable surface model (TGDM) that yields accurate brain surface reconstructions that are guaranteed to be topologically correct and free from self-intersections. Expand
On the relationship between parametric and geometric active contours
Geometric active contours have many advantages over parametric active contours, such as computational simplicity and the ability to change the curve topology during deformation. While many of theExpand
Reconstruction of the human cerebral cortex from magnetic resonance images
TLDR
A systematic method is described for obtaining a surface representation of the geometric central layer of the human cerebral cortex using fuzzy segmentation, an isosurface algorithm, and a deformable surface model, which reconstructs the entire cortex with the correct topology. Expand
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