Amini, A.A.,
Weymouth, T.E., and
Jain, R.C.,
Using Dynamic Programming for Solving Variational Problems in Vision,
PAMI(12), No. 9, September 1990, pp. 855-867.
IEEE Abstract. IEEE Top Reference.
WWW Version.
Dynamic Programming.
Variational Problems. Discussed as a general technique for problems such as surface
fitting and the like. Here it is applied to contours.
BibRef
9009
Amini, A.A.,
Tehrani, S., and
Weymouth, T.E.,
Using Dynamic Programming for Minimizing the Energy of Active
Contours in the Presence of Hard Constraints,
ICCV88(95-99).
IEEE Abstract. IEEE Top Reference. An early related paper to the above journal paper.
BibRef
8800
Williams, D.J.[Donna J.], and
Shah, M.,
A Fast Algorithm for Active Contours and Curvature Estimation,
CVGIP(55), No. 1, January 1992, pp. 14-26.
WWW Version.
BibRef
9201
Earlier:
A Fast Algorithm for Active Contours,
ICCV90(592-595).
WWW Version. An analysis of Kass and Amini and a proposed implementation that
is faster, O(nm), that dynamic programming approaches.
BibRef
Goshtasby, A.,
O'Neill, W.D.,
Curve-Fitting by a Sum of Gaussians,
GMIP(56), No. 4, July 1994, pp. 281-288.
BibRef
9407
Goshtasby, A.,
Shyu, H.L.,
Edge-Detection by Curve-Fitting,
IVC(13), No. 3, April 1995, pp. 169-177.
WWW Version.
BibRef
9504
Sander, P.T.,
Estimating Curvature by Kalman Filters,
VF91(469-477).
Estimating the curvature of a collection of points (not
really snakes since the grouping is not given).
BibRef
9100
Chiou, G.I.,
Hwang, J.N.[Jenq-Neng],
A neural network-based stochastic active contour model (NNS-SNAKE) for
contour finding of distinct features,
IP(4), No. 10, October 1995, pp. 1407-1416.
WWW Version.
0402
BibRef
Kimmel, R.,
Kiryati, N.,
Bruckstein, A.M.,
Analyzing and Synthesizing Images by Evolving Curves with the
Osher-Sethian Method,
IJCV(24), No. 1, August 1997, pp. 37-55.
WWW Version.
9709 See also Level Set Methods: Evolving Interfaces in Geometry, Fluid Mechanics, Computer Vision and Materials Science. See also Geometric Level Set Methods in Imaging, Vision, and Graphics.
BibRef
Kimmel, R.[Ron], (
Numerical Geometry of Images: Theory, Algorithms, and Applications,
Springer2005. ISBN: 0-387-95562-3
Buy from Amazon: Numerical Geometry of Images: Theory, Algorithms, and Applications
BibRef
0500
Bruckstein, A.M.,
Analyzing and synthesizing images by evolving curves,
ICIP94(I: 11-15).
WWW Version.
9411
BibRef
Cohen, L.D.[Laurent D.],
Kimmel, R.[Ron],
Global Minimum for Active Contour Models: A Minimal Path Approach,
IJCV(24), No. 1, August 1997, pp. 57-78.
WWW Version.
9709
BibRef
And:
Global Minimum for Active Contour Models: A Minimum Path Approach,
CVPR96(666-673).
IEEE Abstract. IEEE Top Reference.
WWW Version.
Postscript Version.
BibRef
Cohen, L.D.[Laurent D.],
Kimmel, R.[Ron],
Edge Integration Using Minimal Geodesics,
TRCeremade, Universite Paris Dauphine, January 1995.
Postscript Version.
BibRef
9501
And:
TR9612, Ceremade, Universite Paris Dauphine.
Postscript Version.
BibRef
Cohen, L.D.[Laurent D.],
Kimmel, R.[Ron],
Fast Marching the Global Minimum of Active Contours,
ICIP96(I: 473-476).
WWW Version.
BibRef
9600
Eviatar, H.,
Somorjai, R.L.,
A Fast, Simple Active Contour Algorithm for Biomedical Images,
PRL(17), No. 9, August 1 1996, pp. 969-974.
9609
BibRef
Gunn, S.R.[Steve R.],
Nixon, M.S.[Mark S.],
Robust Snake Implementation: A Dual Active Contour,
PAMI(19), No. 1, January 1997, pp. 63-68.
IEEE Abstract. IEEE Top Reference.
WWW Version.
9702
BibRef
Earlier:
Improving snake performance via a dual active contour,
CAIP95(600-605).
WWW Version.
9509
BibRef
Earlier:
A Dual Active Contour,
BMVC94(305-314).
Use one contour expanding from inside, and a second contracting
from outside. They are interlinked to avoid weak local minima.
BibRef
Gunn, S.R.[Steve R.],
Nixon, M.S.[Mark S.],
Global and Local Active Contours for Head Boundary Extraction,
IJCV(30), No. 1, October 1998, pp. 43-54.
WWW Version.
BibRef
9810
Earlier:
Snake Head Boundary Extraction Using Global and
Local Energy Minimisation,
ICPR96(II: 581-585).
WWW Version.
9608(Univ. of Southampton, UK)
BibRef
Chandran, S.[Sharat],
Potty, A.K.,
Energy Minimization of Contours Using Boundary Conditions,
PAMI(20), No. 5, May 1998, pp. 546-549.
IEEE Abstract. IEEE Top Reference.
WWW Version.
9806A dynamic programming solution for snakes designed to avoid
local minima.
BibRef
Wong, Y.Y.,
Yuen, P.C.,
Tong, C.S.,
Contour Length Terminating Criterion for Snake Model,
PR(31), No. 5, May 1998, pp. 597-606.
WWW Version.
9805
BibRef
Ma, T.,
Tagare, H.D.,
Consistency and Stability of Active Contours with Euclidean and
Non-Euclidean Arc Lengths,
IP(8), No. 11, November 1999, pp. 1549-1559.
WWW Version.
9911
BibRef
Chen, Y.[Yunmei],
Tagare, H.D.[Hemant D.],
Thiruvenkadam, S.[Sheshadri],
Huang, F.[Feng],
Wilson, D.[David],
Gopinath, K.S.[Kaundinya S.],
Briggs, R.W.[Richard W.],
Geiser, E.A.[Edward A.],
Using Prior Shapes in Geometric Active Contours in a Variational
Framework,
IJCV(50), No. 3, December 2002, pp. 315-328.
WWW Version.
0211
BibRef
Chen, Y.,
Thiruvenkadam, S.,
Tagare, H.D.,
Huang, F.[Feng],
Wilson, D.,
On the Incorporation of Shape Priors into Geometric Active Contours,
LevelSet01(xx-yy).
0106
BibRef
Thiruvenkadam, S.R.[Sheshadri R.],
Chan, T.F.[Tony F.],
Hong, B.W.[Byung-Woo],
Segmentation Under Occlusions Using Selective Shape Prior,
SSVM07(191-202).
WWW Version.
0705
BibRef
Chen, Y.[Yunmei],
Huang, F.[Feng],
Tagare, H.D.[Hemant D.],
Rao, M.[Murali],
A Coupled Minimization Problem for Medical Image Segmentation with
Priors,
IJCV(71), No. 3, March 2007, pp. 259-272.
WWW Version.
0001
BibRef
Chen, Y.[Yunmei],
Huang, F.[Feng],
Tagare, H.D.,
Rao, M.[Murali],
Wilson, D.,
Geiser, E.A.,
Using prior shape and intensity profile in medical image segmentation,
ICCV03(1117-1124).
WWW Version.
0311
BibRef
Aubert, G., and
Vese, L.A.,
A variational method in image recovery,
NumAnal(34), No. 5, 1997, pp. 1948-1979.
BibRef
9700
Chan, T.F.[Tony F.],
Sandberg, B.Y.[B. Yezrielev],
Vese, L.A.[Luminita A.],
Active Contours without Edges for Vector-Valued Images,
JVCIR(11), No. 2, June 2000, pp. 130-141.
0008
BibRef
Sandberg, B.Y.[Berta Yezrielev],
Chan, T.F.[Tony F.],
A logic framework for active contours on multi-channel images,
JVCIR(16), No. 3, June 2005, pp. 333-358.
WWW Version.
0711Multi-channel; Segmentation; Logic operations; Active contours
BibRef
Chan, T.F.[Tony F.],
Vese, L.A.[Luminita A.],
Active contours without edges,
IP(10), No. 2, February 2001, pp. 266-277.
WWW Version.
0001
BibRef
Earlier:
An active contour model without edges,
ScaleSpace99(141-151).
See also Multiphase Level Set Framework for Image Segmentation Using the Mumford and Shah Model, A.
BibRef
Wu, H.H.,
Liu, J.C.,
Chui, C.,
A Wavelet-Frame Based Image Force Model for Active Contouring
Algorithms,
IP(9), No. 11, November 2000, pp. 1983-1988.
WWW Version.
0011
BibRef
Liu, J.C.,
Hwang, W.L.,
Chen, M.S.,
Tsai, J.W.,
Lin, C.H.,
Wavelet-based Active Contour Model for Object Tracking,
ICIP01(III: 206-209).
IEEE Abstract. IEEE Top Reference.
0108
BibRef
Ray, N.[Nilanjan],
Chanda, B.[Bhabatosh],
Das, J.[Jyotirmay],
A fast and flexible multiresolution snake with a definite termination
criterion,
PR(34), No. 7, July 2001, pp. 1483-1490.
WWW Version.
0105
BibRef
Han, C.[Chao],
Hatsukami, T.S.,
Hwang, J.N.[Jenq-Neng],
Yuan, C.[Chun],
A fast minimal path active contour model,
IP(10), No. 6, June 2001, pp. 865-873.
WWW Version.
0106
BibRef
Castrillón, M.[Marco],
Valdés, A.[Antonio],
Projective Evolution of Plane Curves,
IJCV(42), No. 3, May-June 2001, pp. 191-201.
WWW Version.
0108Projective invariant evolution operators have singularities.
BibRef
Delingette, H.,
Montagnat, J.,
Shape and Topology Constraints on Parametric Active Contours,
CVIU(83), No. 2, August 2001, pp. 140-171.
WWW Version.
0109
BibRef
Earlier:
New Algorithms for Controlling Active Contours Shape and Topology,
ECCV00(II: 381-395).
WWW Version.
0003Combine advantages of early Lagrangian formulation with the lat Eulerian
framework for parametric active contours.
Control of contour topology (create or fuse components on closed
or open contours),
geometry (contour resolution, number of verticies) and
deformation (by vertex spacing and smoothness).
BibRef
Park, J.[Jaesang],
Keller, J.M.[James M.],
Snakes on the Watershed,
PAMI(23), No. 10, October 2001, pp. 1201-1205.
IEEE Abstract. IEEE Top Reference.
WWW Version.
0110Combine watershed approach and snakes in a two-step snake
algorithm.
BibRef
Kulkarni, S.[Subhash],
Chatterji, B.N.,
Accurate shape modeling with front propagation using adaptive level
sets,
PRL(23), No. 13, November 2002, pp. 1559-1568.
HTML Version.
0206steering function derived from histogram features.
BibRef
Ghebreab, S.,
Smeulders, A.W.M.,
Pfluger, P.R.,
Necklaces: Inhomogeneous and Point-Enhanced Deformable Models,
CVIU(86), No. 2, May 2002, pp. 96-117.
WWW Version.
0301
BibRef
Ghebreab, S.[Sennay],
Smeulders, A.W.M.[Arnold W.M.],
Strings: Variational deformable models of multivariate continuous
boundary features,
PAMI(25), No. 11, November 2003, pp. 1399-1410.
IEEE Abstract. IEEE Top Reference.
0311A variational deformable model learnd from a collection of
examples rather than analytical knowledge.
BibRef
Keshet, R.[Renato],
Heijmans, H.J.A.M.[Henk J.A.M.],
Adjunctions in Pyramids, Curve Evolution and Scale-Spaces,
IJCV(52), No. 2-3, May-June 2003, pp. 139-151.
WWW Version.
0301
BibRef
Earlier:
Adjunctions in pyramids and curve evolution,
ScaleSpace01(xx-yy).
0106
BibRef
Bredno, J.[Jorg],
Lehmann, T.M.[Thomas M.],
Spitzer, K.[Klaus],
A General Discrete Contour Model in Two, Three, and Four Dimensions for
Topology-Adaptive Multichannel Segmentation,
PAMI(25), No. 5, May 2003, pp. 550-563.
IEEE Abstract. IEEE Top Reference.
0304Representation using simplex meshes.
BibRef
Srinark, T.[Thitiwan],
Kambhamettu, C.[Chandra],
A framework for multiple snakes and its applications,
PR(39), No. 9, September 2006, pp. 1555-1565.
WWW Version.
0606
BibRef
Earlier:
A Framework for Multiple Snakes,
CVPR01(II:202-209).
IEEE Abstract. IEEE Top Reference.
0110Multiple snakes; Multiple-object segmentation.
Group energy to handle energy across multiple snakes.
BibRef
Lam, S.Y.,
Tong, C.S.,
Enhanced Snake algorithm by embedded domain transformation,
PR(39), No. 9, September 2006, pp. 1566-1574.
WWW Version.
0606Domain transformation; Conformal mapping; Robust contour detection
BibRef
Seghers, D.,
Loeckx, D.[Dirk],
Maes, F.[Frederik],
Vandermeulen, D.,
Suetens, P.[Paul],
Minimal Shape and Intensity Cost Path Segmentation,
MedImg(26), No. 8, August 2007, pp. 1115-1129.
WWW Version.
0709Trained like active shape models, but simultaneous solution.
BibRef
Maalouf, A.[Aldo],
Carre, P.[Philippe],
Augereau, B.[Bertrand],
Fernandez-Maloigne, C.[Christine],
Cooperation of the partial differential equation methods and the
wavelet transform for the segmentation of multivalued images,
SP:IC(23), No. 1, January 2008, pp. 14-30.
WWW Version.
0801
BibRef
Earlier:
Foveal Wavelet-Based Color Active Contour,
ICIP07(I: 245-248).
WWW Version.
0709Partial differential equations; Wavelet; Segmentation; Color images
BibRef
Thevenaz, P.,
Unser, M.,
Snakuscules,
IP(17), No. 4, April 2008, pp. 585-593.
WWW Version.
0803
BibRef
Earlier:
The Snakuscule,
ICIP06(1633-1636).
0610
WWW Version.
BibRef
Charmi, M.A.,
Derrode, S.,
Ghorbel, F.,
Fourier-based geometric shape prior for snakes,
PRL(29), No. 7, 1 May 2008, pp. 897-904.
WWW Version.
0804Snakes; Shape prior; Fourier transform; Invariant; Completeness;
Object tracking
BibRef
Mille, J.[Julien],
Bone, R.[Romuald],
Makris, P.[Pascal],
Cardot, H.[Hubert],
2D and 3D Deformable Models with Narrowband Region Energy,
ICIP07(II: 57-60).
WWW Version.
0709
BibRef
Mille, J.[Julien],
Bone, R.[Romuald],
Makris, P.[Pascal],
Cardot, H.[Hubert],
Greedy Algorithm and Physics-Based Method for Active Contours and
Surfaces: A Comparative Study,
ICIP06(1645-1648).
0610
WWW Version.
BibRef
And:
Exploring Boundary Concavities in Active Contours and Surfaces,
3DPVT06(1093-1100).
WWW Version.
0606
BibRef
Li, Z.G.[Zhen-Gwen],
Wang, W.W.[Wei-Wei],
Shui, P.[Penglang],
Parameter Estimation and Two-Stage Segmentation Algorithm for the
Chan-Vese Model,
ICIP06(201-204).
0610
WWW Version. See also Active contours without edges.
BibRef
Li, Z.L.[Zheng-Long],
Cheng, J.[Jian],
Liu, Q.S.[Qing-Shan],
Lu, H.Q.[Han-Qing],
Image Segmentation Using Co-EM Strategy,
ACCV07(II: 827-836).
WWW Version.
0711
BibRef
Li, Z.L.[Zheng-Long],
Liu, Q.S.[Qing-Shan],
Lu, H.Q.[Han-Qing],
A Geometric Active Contour Framework using Multi-Cue and Local Feature,
ICPR06(II: 113-116).
WWW Version.
0609
BibRef
Earlier:
A Geometric Contour Framework with Vector Field Support,
ACCV06(II:214-223).
WWW Version.
0601
BibRef
Thomas, M.,
Misra, S.K.,
Kambhamettu, C.,
Kirby, J.T.,
Dynamic Open Contours Using Particle Swarm Optimization with
Application to Fluid Interface Extraction,
ACCV06(I:643-652).
WWW Version.
0601
BibRef
Silveira, M.,
Marques, J.S.,
Multiple Active Contour Models Based on the EM Algorithm,
ICIP05(I: 285-288).
WWW Version.
0512
BibRef
Zhou, S.H.K.[Shao-Hua Kevin],
Georgescu, B.[Bogdan],
Zhou, X.S.[Xiang Sean],
Comaniciu, D.[Dorin],
Image Based Regression Using Boosting Method,
ICCV05(I: 541-548).
WWW Version.
0510represent image through features.
BibRef
Corso, J.J.[Jason J.],
Hager, G.D.[Gregory D.],
Coherent Regions for Concise and Stable Image Description,
CVPR05(II: 184-190).
WWW Version.
0507
BibRef
Corso, J.J.,
Dewan, M.,
Hager, G.D.,
Image segmentation through energy minimization based subspace fusion,
ICPR04(II: 120-123).
WWW Version.
0409
BibRef
Danielsson, P.E.[Per-Erik],
Lin, Q.[Qingfen],
A Modified Fast Marching Method,
SCIA03(1154-1161).
WWW Version.
0310
BibRef
Gilles, J.[Jérôme],
Collin, B.,
Fast probabilistic snake algorithm,
ICIP03(III: 405-408).
IEEE Abstract. IEEE Top Reference.
0312
BibRef
Vapillon, A.,
Collin, B.,
Montanvert, A.,
Analyzing and filtering contour deformation,
ICIP98(II: 267-271).
WWW Version.
9810
BibRef
Rousselle, J.J.[Jean-Jacques],
Vincent, N.[Nicole],
Verbeke, N.[Nicolas],
Genetic Algorithm to Set Active Contour,
CAIP03(345-352).
WWW Version.
0311
BibRef
Farin, D.,
Pfeffer, M.,
de With, P.H.N.,
Effelsberg, W.,
Corridor scissors: a semi-automatic segmentation tool employing
minimum-cost circular paths,
ICIP04(II: 1177-1180).
WWW Version.
0505
BibRef
Honea, D.M.,
Snyder, W.E.,
Bilbro, G.,
Active contours using a potential field,
ICPR02(II: 757-760).
WWW Version.
0211
BibRef
Abe, T.,
Matsuzawa, Y.,
Clustering-based control of active contour model,
ICPR02(II: 663-667).
WWW Version.
0211
BibRef
Jang, S.W.[Seok-Woo],
El-Kwai, E.A.,
Choi, H.I.[Hyung-Il],
Shaking snakes using color edge for contour extraction,
ICIP02(II: 817-820).
IEEE Abstract. IEEE Top Reference.
0210
BibRef
Perrin, D.P.[Doug P.],
Smith, C.E.[Christopher E.],
Rethinking Classical Internal Forces for Active Contour Models,
CVPR01(II:615-620).
IEEE Abstract. IEEE Top Reference.
0110Reformulate tension and curvature with a new spacing force
and a change in curvature force.
BibRef
Jones, G.,
Greenhill, D.,
Orwell, J.,
Rymel, J.,
Efficient PDM Shape Fitting Using the Kalman Filter,
ICIP00(Vol I: 788-791).
IEEE Abstract. IEEE Top Reference.
0008
BibRef
Faugeras, O.D.,
Keriven, R.[Renaud],
Some recent results on the projective evolution of 2-D curves,
ICIP95(III: 13-16).
WWW Version.
9510
BibRef
Etoh, M.[Minoru],
Shirai, Y.[Yoshiaki],
Asada, M.[Minoru],
Contour extraction by mixture density description obtained from region
clustering,
ECCV92(24-32).
WWW Version.
9205
BibRef
Shah, J.,
Parameter estimation, multiscale representation and algorithms for
energy-minimizing segmentations,
ICPR90(I: 815-819).
WWW Version.
9006
BibRef
Chapter on 2-D Region Segmentation Techniques, Snakes, Active Contours continues in
Snakes, Motion Tracking .