Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Mathematical pressure volume models of the cerebrospinal fluid
Applied Mathematics and Computation
A Multiphase Level Set Framework for Image Segmentation Using the Mumford and Shah Model
International Journal of Computer Vision
Triangle: Engineering a 2D Quality Mesh Generator and Delaunay Triangulator
FCRC '96/WACG '96 Selected papers from the Workshop on Applied Computational Geormetry, Towards Geometric Engineering
Mesh size functions for implicit geometries and PDE-based gradient limiting
Engineering with Computers
Mesh shape-quality optimization using the inverse mean-ratio metric
Mathematical Programming: Series A and B
An Image Segmentation Algorithm in Image Processing Based on Threshold Segmentation
SITIS '07 Proceedings of the 2007 Third International IEEE Conference on Signal-Image Technologies and Internet-Based System
Computer Methods and Programs in Biomedicine
Variational and Level Set Methods in Image Segmentation
Variational and Level Set Methods in Image Segmentation
IEEE Transactions on Image Processing
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Hydrocephalus is a neurological disease which causes ventricular dilation due to abnormalities in the cerebrospinal fluid (CSF) circulation. Although treatment via a CSF shunt in the brain ventricles has been performed, poor rates of patient responses continue. Thus, to aid surgeons in hydrocephalus treatment planning, we propose a geometric computational approach for tracking hydrocephalus ventricular boundary evolution via the level set method and a mesh warping technique. In our previous work [1], we evolved the ventricular boundary in 2D CT images which required a backtracking line search for obtaining valid intermediate meshes. In this paper, we automatically detect the ventricular boundary evolution for 2D CT images. To help surgeons determine where to implant the shunt, we also compute the brain ventricle volume evolution for 3D MR images using our approach.