Level set based brain aneurysm capturing in 3D
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TLDR
A level set based surface capturing algorithm to first capture the aneurysms from the vascular tree is presented and applications to medical images are presented to show the accuracy, consistency and robustness of the method in capturing brain aneurYSms and volume quantification.Abstract:
Brain aneurysm rupture has been reported to be closely related to
aneurysm size. The current method used to determine aneurysm size
is to measure the dimension of the aneurysm dome and the width of
the aneurysm neck. Since aneurysms usually have complicated
shapes, using just the size of the aneurysm dome and neck may not
be accurate and may overlook important geometrical information. In
this paper we present a level set based surface capturing
algorithm to first capture the aneurysms from the vascular tree.
Since aneurysms are described by level set functions, volumes,
curvatures and other geometric quantities of the aneurysm surface
can easily be computed for medical studies. Experiments and
comparisons with models used for capturing illusory contours in 2D
images are performed. Applications to medical images are also
presented to show the accuracy, consistency and robustness of our
method in capturing brain aneurysms and volume quantification.read more
Citations
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On a Level-Set Method for Ill-Posed Problems with Piecewise Nonconstant Coefficients
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Posted Content
On a level-set method for ill-posed problems with piecewise non-constant coefficients
TL;DR: In this paper, a level set type method for solving ill-posed problems with the assumption that the solutions are piecewise, but not necessarily constant functions with unknown level sets and unknown level values is proposed.
References
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Book
Level Set Methods and Dynamic Implicit Surfaces
Stanley Osher,Ronald Fedkiw +1 more
TL;DR: A student or researcher working in mathematics, computer graphics, science, or engineering interested in any dynamic moving front, which might change its topology or develop singularities, will find this book interesting and useful.
Journal ArticleDOI
A Review of Image Denoising Algorithms, with a New One
TL;DR: A general mathematical and experimental methodology to compare and classify classical image denoising algorithms and a nonlocal means (NL-means) algorithm addressing the preservation of structure in a digital image are defined.
Journal ArticleDOI
Unruptured intracranial aneurysms: natural history, clinical outcome, and risks of surgical and endovascular treatment
TL;DR: Patients' age was a strong predictor of surgical outcome, and the size and location of an aneurysm predict both surgical and endovascular outcomes.
Journal ArticleDOI
A Variational Level Set Approach to Multiphase Motion
TL;DR: In this paper, a coupled level set method for the motion of multiple junctions (of, e.g., solid, liquid, and grain boundaries), which follows the gradient flow for an energy functional consisting of surface tension and bulk energies, is developed.
Journal ArticleDOI
Regular Article: A PDE-Based Fast Local Level Set Method
TL;DR: A fast method to localize thelevel set method of Osher and Sethian and address two important issues that are intrinsic to the level set method, which reduces the computational effort by one order of magnitude, works in as much generality as the original one, and is conceptually simple and easy to implement.