Shape recovery algorithms using level sets in 2-D/3-D medical imagery: a state-of-the-art review

JS Suri, K Liu, S Singh… - IEEE Transactions …, 2002 - ieeexplore.ieee.org
The class of geometric deformable models, also known as level sets, has brought
tremendous impact to medical imagery due to its capability of topology preservation and fast …

[图书][B] Geometric partial differential equations and image analysis

G Sapiro - 2006 - books.google.com
This book provides an introduction to the use of geometric partial differential equations in
image processing and computer vision. This research area brings a number of new …

[图书][B] Geometric level set methods in imaging, vision, and graphics

S Osher, N Paragios - 2007 - books.google.com
Introduction Imageprocessing, computervisionandcomputergraphicsareno…-search areas.
Pattern recognition and arti? cial intelligence were the origins of the explorationofthespace …

Variational problems and partial differential equations on implicit surfaces

M Bertalmıo, LT Cheng, S Osher, G Sapiro - Journal of Computational …, 2001 - Elsevier
A novel framework for solving variational problems and partial differential equations for
scalar and vector-valued data defined on surfaces is introduced in this paper. The key idea …

A new level-set based approach to shape and topology optimization under geometric uncertainty

S Chen, W Chen - Structural and Multidisciplinary Optimization, 2011 - Springer
Geometric uncertainty refers to the deviation of the geometric boundary from its ideal
position, which may have a non-trivial impact on design performance. Since geometric …

Morphing active contours

M Bertalmio, G Sapiro, G Randall - IEEE Transactions on …, 2000 - ieeexplore.ieee.org
A method for deforming curves in a given image to a desired position in a second image is
introduced. The algorithm is based on deforming the first image toward the second one via a …

Topology optimization of conformal structures on manifolds using extended level set methods (X-LSM) and conformal geometry theory

Q Ye, Y Guo, S Chen, N Lei, XD Gu - Computer Methods in Applied …, 2019 - Elsevier
In this paper, we propose a new method to systematically address the issue of structural
shape and topology optimization on free-form surfaces. A free-form surface, also termed …

Left ventricular volume estimation for real-time three-dimensional echocardiography

C Corsi, G Saracino, A Sarti… - IEEE Transactions on …, 2002 - ieeexplore.ieee.org
The application of level set techniques to echocardiographic data is presented. This method
allows semiautomatic segmentation of heart chambers, which regularizes the shapes and …

Cortex segmentation: A fast variational geometric approach

R Goldenberg, R Kimmel, E Rivlin… - IEEE Transactions on …, 2002 - ieeexplore.ieee.org
An automatic cortical gray matter segmentation from a three-dimensional (3-D) brain images
[magnetic resonance (MR) or computed tomography] is a well known problem in medical …

Brain structural mapping using a novel hybrid implicit/explicit framework based on the level-set method

A Leow, CL Yu, SJ Lee, SC Huang, H Protas… - NeuroImage, 2005 - Elsevier
This paper presents a novel approach to feature-based brain image warping, by using a
hybrid implicit/explicit framework, which unifies many prior approaches in a common …