8.7.1.2.2 Active Contours and Snakes, Segmentations, Flow, Gradient Flow

Tsai, A.[Andy], Yezzi, Jr., A.J.[Anthony J.], Willsky, A.S.[Alan S.],
Curve evolution implementation of the Mumford-Shah functional for image segmentation, denoising, interpolation, and magnification,
IP(10), No. 8, August 2001, pp. 1169-1186.
IEEE DOI Link 0108
BibRef

Yezzi, Jr., A.J.[Anthony J.], Tsai, A.[Andy], Willsky, A.S.[Alan S.],
A Fully Global Approach to Image Segmentation via Coupled Curve Evolution Equations,
JVCIR(13), No. 1/2, March/June 2002, pp. 195-216.
WWW Version. 0204
BibRef
Earlier: A2, A1, A3:
A Curve Evolution Approach to Smoothing and Segmentation Using the Mumford-Shah Functional,
CVPR00(I: 119-124).
IEEE DOI Link 0005
BibRef
Earlier:
Binary and ternary flows for image segmentation,
ICIP99(II:1-5).
IEEE Abstract. BibRef
And:
A Statistical Approach to Snakes for Bimodal and Trimodal Imagery,
ICCV99(898-903).
IEEE DOI Link See also Optimal Approximations by Piecewise Smooth Functions and Variational Problems. BibRef

Tsai, A.[Andy], Yezzi, Jr., A.J.[Anthony J.], Wells, III, W.M.[William M.], Tempany, C.[Clare], Tucker, D.[Dewey], Fan, A.[Ayres], Grimson, W.E.L.[W. Eric L.], Willsky, A.S.[Alan S.],
Model-Based Curve Evolution Technique for Image Segmentation,
CVPR01(I:463-468).
IEEE Abstract. 0110
Award, CVPR, Student HM. For known objects. BibRef

Kim, J.[Junno], Tsai, A., Cetin, M., Willsky, A.S.,
A curve evolution-based variational approach to simultaneous image restoration and segmentation,
ICIP02(I: 109-112).
IEEE Abstract. 0210
BibRef

Tsai, A.,
Curve Evolution, Boundary-value Stochastic Processes, the Mumford-Shah Problem, and Missing Data Applications,
ICIP00(Vol III: 588-591).
IEEE Abstract. 0008
See also Optimal Approximations by Piecewise Smooth Functions and Variational Problems. BibRef

Unal, G.[Gozde], Krim, H.[Hamid], Yezzi, A.J.[Anthony J.],
Stochastic differential equations and geometric flows,
IP(11), No. 12, December 2002, pp. 1405-1416.
IEEE DOI Link 0301
Local stochastic interpretation of the basic curve smoothing equation, the geometric heat equation, this evolution amounts to a tangential diffusion movement of the particles along the contour. BibRef

Unal, G.[Gozde], Yezzi, A.J.[Anthony J.], Krim, H.[Hamid],
Information-Theoretic Active Polygons for Unsupervised Texture Segmentation,
IJCV(62), No. 3, May 2005, pp. 199-220.
Springer DOI Link 0501
BibRef

Unal, G.[Gozde], Krim, H.[Hamid], Yezzi, A.J.[Anthony J.],
Fast Incorporation of Optical Flow Into Active Polygons,
IP(14), No. 6, June 2005, pp. 745-759.
IEEE DOI Link 0505
BibRef
Earlier:
Active polygon for object tracking,
3DPVT02(696-699). 0206
BibRef

Unal, G., Krim, H.,
Feature-preserving Flows: A Stochastic Differential Equation's View,
ICIP00(Vol I: 896-899).
IEEE Abstract. 0008
BibRef

Unal, G., Nain, D., Ben-Arous, G., Shimk-In, N., Tannenbaum, A., Zeitouni, O.,
Algorithms for stochastic approximations of curvature flows,
ICIP03(II: 651-654).
IEEE Abstract. 0312
BibRef

Li, C.M.[Chun-Ming], Liu, J.D.[Jun-Dong], Fox, M.D.[Martin D.],
Segmentation of external force field for automatic initialization and splitting of snakes,
PR(38), No. 11, November 2005, pp. 1947-1960.
WWW Version. 0509
BibRef
Earlier:
Segmentation of Edge Preserving Gradient Vector Flow: An Approach Toward Automatically Initializing and Splitting of Snakes,
CVPR05(I: 162-167).
IEEE DOI Link 0507
See also Distance Regularized Level Set Evolution and Its Application to Image Segmentation. BibRef

Michailovich, O.V.[Oleg V.], Rathi, Y.[Yogesh], Tannenbaum, A.[Allen],
Image Segmentation Using Active Contours Driven by the Bhattacharyya Gradient Flow,
IP(16), No. 11, November 2007, pp. 2787-2801.
IEEE DOI Link 0709
BibRef
Earlier: A2, A3, A1:
Segmenting Images on the Tensor Manifold,
CVPR07(1-8).
IEEE DOI Link 0706
See also high-resolution technique for ultrasound harmonic imaging using sparse representations in gabor frames, A. BibRef

Liu, L.X.[Li-Xiong], Bovik, A.C.[Alan C.],
Active contours with neighborhood-extending and noise-smoothing gradient vector flow external force,
JIVP(2012), No. 1 2012, pp. xx-yy.
WWW Version. 1202
BibRef

Derraz, F.[Foued], Taleb-Ahmed, A.[Abdelmalik], Betrouni, N.[Nacim], Chikh, A.[Azzeddine], Pinti, A.[Antonio], Bereksi-Reguig, F.[Fethi],
Unsupervised texture segmentation using active contours driven by the Chernoff gradient flow,
ICIP09(3005-3008).
IEEE DOI Link 0911
BibRef

Derraz, F.[Foued], Taleb-Ahmed, A.[Abdelmalik], Pinti, A.[Antonio], Peyrodie, L.[Laurent], Betrouni, N.[Nacim], Chikh, A.[Azzeddine], Bereksi-Reguig, F.[Fethi],
Fast Unsupervised Texture Segmentation Using Active Contours Model Driven by Bhattacharyya Gradient Flow,
CIARP09(193-200).
Springer DOI Link 0911
BibRef

Derraz, F., Taleb-Ahmed, A., Peyrodie, L., Pinti, A., Chikh, A., Bereksi-Reguig, F.,
Active Contours Based Battachryya Gradient Flow for Texture Segmentation,
CISP09(1-6).
IEEE DOI Link 0910
BibRef

Zhao, B.[Bin], Cheng, S.Y.[Si-Yuan], Zhang, X.W.[Xiang-Wei], Zhang, G.Y.[Guo-Ying],
B-Spline Curve Fitting Based on Gradient Vector Flow Deformable Models,
CISP09(1-4).
IEEE DOI Link 0910
BibRef

Wang, Y.Q., Chen, W.F., Yu, T.L., Zhang, Y.T.,
Hessian based image structure adaptive gradient vector flow for parametric active contours,
ICIP10(649-652).
IEEE DOI Link 1009
BibRef

Lu, S.P.[Shao-Pei], Wang, Y.Q.[Yuan-Quan],
A Reformative Gradient Vector Flow Based on Beltrami Flow,
CISP09(1-4).
IEEE DOI Link 0910
BibRef

Tang, J.S.[Jin-Shan], Acton, S.T.,
A DCT based gradient vector flow snake for object boundary detection,
Southwest04(157-161).
IEEE Abstract. 0411
BibRef

Yu, Y.J.[Yang-Jian], Acton, S.T.,
Active contours with area-weighted binary flows for segmenting low SNR imagery,
ICIP03(I: 129-132).
IEEE Abstract. 0312
BibRef

Yu, H.G.[Hong-Gang], Pattichis, M.S., Goens, M.B.,
Robust Segmentation of Freehand Ultrasound Image Slices Using Gradient Vector Flow Fast Geometric Active Contours,
Southwest06(115-119).
IEEE DOI Link 0603
BibRef

Rivera-Rovelo, J.[Jorge], Herold, S.[Silena], Bayro-Corrochano, E.[Eduardo],
Object Segmentation Using Growing Neural Gas and Generalized Gradient Vector Flow in the Geometric Algebra Framework,
CIARP06(306-315).
Springer DOI Link 0611
See also Use of Geometric Algebra for 3D Modeling and Registration of Medical Data, The. BibRef

Chapter on 2-D Region Segmentation Techniques, Snakes, Active Contours continues in
Interactive Region Segmentations, Snakes, User-Assisted Segmentation .