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

IEEE Transactions on Information Technology in Biomedicine

Volumn 6, Issue 1, 2002, Pages 8-28

  Suri, Jasjit S ^a,b   Liu, Kecheng ^b   Singh, Sameer ^a,c   Laxminarayan, Swamy N ^a,d   Zeng, Xiaolan ^a,e   Reden, Laura ^b  

^a IEEE   (United States)

^b PHILIPS HEALTHCARE   (United States)

^c UNIVERSITY OF EXETER   (United Kingdom)

^d NEW JERSEY INSTITUTE OF TECHNOLOGY   (United States)

^e R2 Technology Inc   (United States)

Author keywords

Cortex; Deformable models; Differential geometry; Front; Fuzzy; Level sets; Propagation; Regularization; Segmentation; Stopping forces; Topology

Indexed keywords

DIFFERENTIAL GEOMETRY;

ALGORITHMS; BRAIN; COMPUTATIONAL GEOMETRY; COMPUTER AIDED SOFTWARE ENGINEERING; IMAGE ANALYSIS; IMAGE SEGMENTATION; MAGNETIC RESONANCE IMAGING; NEUROLOGY;

MEDICAL IMAGING;

ALGORITHM; ARTICLE; DIAGNOSTIC IMAGING; HUMAN; LITERATURE; METHODOLOGY;

ALGORITHMS; DIAGNOSTIC IMAGING; HUMANS; REVIEW LITERATURE;

EID: 0036489320     PISSN: 10897771     EISSN: None     Source Type: Journal    
DOI: 10.1109/4233.992158     Document Type: Review

References (123)

1. Two dimensional fast MR brain segmentation using a region-based level set approach
2. Computing minimal surfaces via level set curvature flow
3. Deformable meshes with automated topology changes for coarse-to-fine 3D surface extraction
4. A discrete adaptative model following topological modifications of volumes
5. Continuous analogs of digital boundaries: A topological approach to iso-surfaces
6. Topology preservation within digital surfaces
7. Digital topology: Introduction and survey
8. Region tracking on level-sets methods
9. Topological evolution of surfaces
10. On the singularities of cones evolving by mean curvature
11. Flow under curvature: Singularity formation, minimal surfaces and geodesics
12. Numerical computation of self-similar solutions for mean curvature flow
13. Numerical algorithms for propagating interfaces: Hamilton-Jacobi equations and conservation laws
14. Curvature flow and entropy conditions applied to grid generation
15. Computing interface motion in compressible gas dynamics
16. Algorithms for tracking interfaces in CFD and material science
17. A level set method for computing solutions to Incompressible two-phase flow
18. Dynamical study of a premixed V-flame
19. Crystal growth and dentritic solidification
20. A unified level set approach to etching, deposition and lithography I: Algorithms and two-dimensional simulations
21. Algorithms for implicit deformable models
22. A level-set approach to 3D reconstruction from range data
23. Level-set models for the deformation of solid objects
24. Motion segmentation with level sets
25. Multiple motion segmentation with level sets
26. Minimum description length region tracking with level sets
27. Geodesic active contours and level sets for the detection and tracking of moving objects
28. Coupled geodesic active regions for image segmentation: A level set approach
29. Image sequence analysis via partial differential equations
30. Variational principles, surface evolution, PDE's level set methods and the stereo problem
31. Shape from shading: Level set propagation and viscosity solutions
32. Tracking level sets by level sets: A method for solving the shape from shading problem
33. Global shape from shading
34. Mathematical morphology: The Hamilton-Jacobi connection
35. A morphological scheme for mean curvature motion and applications to anisotropic diffusion and motion of level sets
36. Implementing continuous-scale morphology via curve evolution
37. A geometrical framework for low level vision
38. Color snakes
39. Three dimensional object modeling via minimal surfaces
40. Minimal surfaces: A geometric three dimensional segmentation approach
41. Computing minimal surfaces via level set curvature flow
42. Finding shortest paths on surfaces using level sets propagation
43. A geometric approach to segmentation and analysis of 3-D medical images
44. Image processing via level set curvature flow
45. Image processing: Flows under min/max curvature and mean curvature
46. A unified approach to noise removal, image-enhancement and shape recovery
47. A fast level set based algorithm for topology independent shape modeling
48. A real-time algorithm for medical shape recovery
49. Evolutionary fronts for topology-independent shape modeling and recovery
50. A geometric snake model for segmentation of medical imagery
51. Level sets and distance functions
52. Fast WM/GM boundary segmentation from MR images using the relationship between parametric and geometric deformable models
53. Segmentation and measurement of the cortex from 3-D MR images using coupled-surfaces propagation
54. Leaking prevention in fast level sets using fuzzy models: An application in MR brain
55. White matter/gray matter boundary segmentation using geometric snakes: A fuzzy deformable model
56. Computer vision and pattern recognition techniques for 2-D and 3-D MR cerebral cortical segmentation: A state-of-the-art review
57. Unfolding the cerebral cortex using level set methods
58. A unified geometric model for 3-D confocal image analysis in cytology
59. Geodesic deformable models for medical image analysis
60. A review of recent numerical algorithms for hypersurfaces moving with curvature dependent flows
61. Theory, algorithms and applications of level set methods for propagating interfaces
62. Analyzing and synthesizing images by evolving curves with the Osher-Sethian method
63. Computer vision, pattern recognition, and image processing in left ventricle segmentation: Last 50 years
64. Deformable models
65. Snakes: Active contour models
66. Fronts propagating with curvature-dependent speed: Algorithms based on Hamiltons-Jacobi formulations
67. Modeling segmentation via deformable regularizers, PDE level sets in still/motion imagery: A revisit
68. The heat equation shrinks embedded plane curves to round points
69. Finite-difference solution of the Eikonal equation using an efficient, first-arrival, wavefront tracking scheme
70. A simple level set method for solving Stefan problems
71. Conformal curvatures flows: From phase transitions to active vision
72. A geometric model for active contours
73. A viscosity solutions approach to shape-from-shading
74. Shape modeling with front propagation
75. An O(N log N) algorithm for shape modeling
76. Area and length minimizing flows for shape segmentation
77. Hyperbolic smoothing of shapes
78. Co-dimension 2 geodesic active contours for MRA segmentation
79. Two geodesic active contours for the segmentation of tubular structures
80. 2-D and 3-D display of aneurysms from magnetic resonance angiographic data
81. Shapes, shocks and deformations, I: The components of shape and the reaction-diffusion space
82. Parts of visual form: Ecological and psychophysical aspects
83. Shocks from images: Propagation of orientation elements
84. Geodesic active contours
85. A statistical approach to snakes for bimodal and trimodal imagery
86. Hybrid geometric active models for shape recovery in medical images
87. Some remarks on the equivalence between 2D and 3D classical snakes and geodesic active contours
88. Greedy algorithm for error correction in automatically produced boundaries from low contrast ventriculograms
89. Review of MR image segmentation techniques using pattern recognition
90. Local adaptive mesh refinement for shock hydrodynamics
91. Local adaptive mesh refinement
92. Curvature flow and entropy conditions applied to grid generation
93. Edge location to subpixel values in digital imagery
94. Detection of intensity changes with subpixel accuracy using Laplacian-Gaussian masks
95. A deformable model for human organ extraction
96. Segmentation and measurement of the cortex from 3-D MR images
97. Adaptive segmentation of MRI data
98. Marching cubes: A high resolution 3-D surface construction algorithm
99. Cooperation between level set techniques and dense 3d registration for the segmentation of brain structures
100. Higher-order essentially nonoscillatory schemes for Hamilton-Jacobi equations
101. On the partial difference equations of mathematical physics
102. Fast geodesic contours
103. Scale space and edge detection using anisotropic diffusion
104. A fast level set method for propagating interfaces
105. The fast construction of extension velocities in level set methods
106. Fast marching methods for computing the solutions to static Hamilton-Jacobi equations
107. A fast marching level set method for monotonically advancing fronts
108. Statistical shape influence in geodesic active contours
109. Active shape models: Their training and applications
110. Automatic quadratic calibration for correction of pixel classifier boundaries to an accuracy of 2.5 mm: An application in X-ray heart imaging
111. A variational level set approach to multiphase motion
112. Motion of level sets by mean curvature: Part I
113. Fast marching methods for computing the solutions to static Hamilton-Jacobi equations