8.7.1 Active Contours, Snakes or Deformable Curves

Chapter Contents (Back)
Segmentation, Edges. Deformable Curves. Snakes. Active Contours. Curve Evolution. Tracking. See also Contours Through a Sequence. See also Deformable Models, University of Manchester Papers. See also Deformable Solids -- Terzopoulos Papers. See also Deformable Solids -- Pentland Papers. See also Nonrigid, Deformable Motion Analysis and Tracking. See also Deformable Models for Segmentation. See also Active Volumes, Deformable Solids, 3-D Snakes, etc..

8.7.1.1 Snakes, General Techniques and Descriptions

Chapter Contents (Back)
Deformable Curves. Snakes. Active Contours. Curve Evolution. Tracking.

qsnake_demo,
2007. Code, Snakes.
HTML Version. Basic tool to play with snakes (active contour models).

Kass, M., Witkin, A.P., and Terzopoulos, D.,
Snakes: Active Contour Models,
IJCV(1), No. 4, January 1988, pp. 321-331.
Springer DOI Link BibRef 8801 IJCV(1), No. 4, January 1988, pp. 321-331.
Springer DOI Link BibRef
Earlier: ICCV87(259-268). Local properties. Much like a 2D version of the 3D symmetry seeking method. BibRef

Blake, A.[Andrew],
Introduction to Active Contours and Visual Dynamics,
Online BookJune 1999,
HTML Version. Dept. Engineering Science, University of Oxford. BibRef 9906

Cohen, L.D.,
On Active Contour Models and Balloons,
CVGIP(53), No. 2, March 1991, pp. 211-218.
WWW Version.
Postscript Version. Balloon Models. Contour expands to meet the edge, rather than straightens into a line. For 3D: See also Finite-Element Methods for Active Contour Models and Balloons for 2-D and 3-D Images. BibRef 9103

Cohen, L.D.[Laurent D.],
Etude de quelques problemes semi-lineaires paraboliques et elliptiques,
Ph.D.Thesis, Universite Paris 6, 1986. BibRef 8600

Cohen, L.D.[Laurent D.],
Etude des modeles de contours actifs et d'autres techniques de traitement d'Images,
2nd Ph.D.Thesis, Universite Paris-Sud Orsay, 1990. BibRef 9000

Xu, G., Segawa, E., Tsuji, S.,
Robust Active Contours with Insensitive Parameters,
PR(27), No. 7, July 1994, pp. 879-884.
WWW Version. BibRef 9407
Earlier:
A robust active contour model with insensitive parameters,
ICCV93(562-566).
IEEE DOI Link BibRef

Segawa, E., Xu, G., Tsuji, S.,
Minimal region extraction using expanding active contours,
ICPR92(III:688-691).
IEEE DOI Link 9208
BibRef

Kimia, B.B., Tannenbaum, A., Zucker, S.W.,
On the Evolution of Curves Via a Function of Curvature. I. The Classical Case,
JMAA(163), 1992, pp. 438-458. BibRef 9200

Kimia, B.B.[Benjamin B.], Brown University Tannenbaum, A.[Allen], University of Minnesota Zucker, S.W.[Steven W.], McGill University
On Optimal Control Methods in Computer Vision and Image Processing,
GDDCV94(Chapter 10). BibRef 9400

Urago, S., Zerubia, J.B., Berthod, M.,
A Markovian Model for Contour Grouping,
PR(28), No. 5, May 1995, pp. 683-693. BibRef 9505
Earlier:
WWW Version. ICPR94(A:556-558).
IEEE DOI Link BibRef

Lai, K.F., Chin, R.T.,
Deformable Contours: Modeling and Extraction,
PAMI(17), No. 11, November 1995, pp. 1084-1090.
IEEE Abstract. IEEE Top Reference.
WWW Version.
Postscript Version. BibRef 9511
Earlier: CVPR94(601-608).
IEEE Abstract. IEEE Top Reference.
Postscript Version. BibRef

Lai, K.F., Chin, R.T.,
On Regularization, Formulation, and Initialization of the Active contour models (Snakes),
ACCV93(542-545).
Postscript Version. BibRef 9300

Lai, K.F.,
Deformable Contours: Modeling, Extraction, Detection and Classification,
Ph.D.August 1994. BibRef 9408 Univ. of Wisconsin
Postscript Version. BibRef

Pauwels, E.J.[Eric J.], Fiddelaers, P.[Peter], Van Gool, L.J.[Luc J.],
Enhancement of Planar Shape Through Optimization of Functionals for Curves,
PAMI(17), No. 11, November 1995, pp. 1101-1105.
IEEE Abstract. IEEE Top Reference.
WWW Version. BibRef 9511
Earlier:
Shape Extraction for Curves Using Geometry-Driven Diffusion and Functional Optimization,
ICCV95(396-401).
IEEE DOI Link
WWW Version. Deformable contours. BibRef

Pauwels, E.J., Fiddelaers, P., Van Gool, L.J.,
Autonomous Grouping of Contour-Segments Using an Adaptive Region-Growing Algorithm,
ICPR96(II: 586-590).
IEEE DOI Link 9608
(ESAT, B) BibRef

Fiddelaers, P., Pauwels, E.J., Van Gool, L.J.,
Geometry-Driven Curve Evolution,
ECCV94(A:427-432).
Springer DOI Link BibRef 9400

Pauwels, E.J.[Eric J.], Fiddelaers, P.[Peter], Mindru, F.[Florica],
Fully unsupervised clustering using centre-surround receptive fields with applications to colour-segmentation,
CAIP97(17-24).
WWW Version. 9709
BibRef

Pauwels, E.J.[Eric J.], Proesmans, M., Van Gool, L.J.[Luc J.], Moons, T., Oosterlinck, A.,
Segmentation and Image Enhancement Using Coupled Anisotropic Diffusion,
SPIE(2094), 1993, pp. 836-847. BibRef 9300

Wang, M., Evans, J., Hassebrook, L., Knapp, C.,
A Multistage, Optimal Active Contour Model,
IP(5), No. 11, November 1996, pp. 1586-1591.
IEEE DOI Link 9611
BibRef

Ngoi, K.P., Jia, J.C.,
A New Color Image Energy for Active Contours in Natural Scenes,
PRL(17), No. 12, October 25 1996, pp. 1271-1277. 9612
BibRef

Durikovic, R., Kaneda, K., and Yamashita, H.,
Dynamic Contour: A Texture Approach and Contour Operations,
VC(11), 1995, pp. 277-289. BibRef 9500

Rieger, J.H.,
Generic Evolutions of Edges on Families of Diffused Greyvalue Surfaces,
JMIV(5), No. 3, September 1995, pp. 207-217. BibRef 9509

Doyen, L.,
Mutational Equations for Shapes and Vision-Based Control,
JMIV(5), No. 2, June 1995, pp. 99-109. BibRef 9506

Wang, G.Z., Zheng, J.M.,
Bounds on the Moving Control Points of Hybrid Curves,
GMIP(59), No. 1, January 1997, pp. 19-25. 9703
BibRef

March, R., Dozio, M.,
A Variational Method for the Recovery of Smooth Boundaries,
IVC(15), No. 9, September 1997, pp. 705-712.
WWW Version. 9709
BibRef

Siddiqi, K.[Kaleem], Lauziere, Y.B.[Yves Berube], Tannenbaum, A.[Allen], Zucker, S.W.[Steven W.],
Area and Length Minimizing Flows for Shape Segmentation,
IP(7), No. 3, March 1998, pp. 433-443.
IEEE DOI Link 9803
BibRef
Earlier: CVPR97(621-627).
IEEE Abstract. IEEE Top Reference.
WWW Version. 9704
Overcome some of the problems with standard snake control. BibRef

Zucker, S.W., Siddiqi, K., and Tannenbaum, A.,
Area Minimizing Flows,
ICIP97(III: 392-395).
IEEE DOI Link BibRef 9700

Moisan, L.,
Affine Plane Curve Evolution: A Fully Consistent Scheme,
IP(7), No. 3, March 1998, pp. 411-420.
IEEE DOI Link 9803
BibRef

Lai, K.F., Chin, R.T.,
On Modeling, Extraction, Detection and Classification of Deformable Contours from Noisy Images,
IVC(16), No. 1, January 30 1998, pp. 55-62.
WWW Version. 9803
BibRef

Marques, J.S.,
A Link Between Image Based and Feature Based Active Contours,
SP(67), No. 3, June 1998, pp. 271-278. 9808
BibRef

Thompson, S.F.[Scott F.], Rosenfeld, A.[Azriel],
Discrete, Nonlinear Curvature-Dependent Contour Evolution,
PR(31), No. 12, December 1998, pp. 1949-1959. BibRef 9812
Earlier:
WWW Version. UMD--TR3825, August 1997.
WWW Version.
WWW Version. BibRef

Davatzikos, C.[Christos], Prince, J.L.[Jerry L.],
Convexity Analysis of Active Contour Problems,
IVC(17), No. 1, January 1999, pp. 27-36.
WWW Version. BibRef 9901
Earlier: CVPR96(674-679).
IEEE Abstract. IEEE Top Reference.
WWW Version. BibRef

Davatzikos, C., and Prince, J.L.,
Adaptive Active Contour Algorithms for Extracting and Mapping Thick Curves,
CVPR93(524-529).
IEEE Abstract. IEEE Top Reference. BibRef 9300

Shen, D.G.[Ding-Gang], Davatzikos, C.[Christos],
An Adaptive-Focus Deformable Model Using Statistical and Geometric Information,
PAMI(22), No. 8, August 2000, pp. 906-913.
IEEE Abstract. IEEE Top Reference.
WWW Version. 0010
Use an attribute vector of the region, deform contour to seek regions with similar attribute vectors. Shape at each pahse influenced by most reliable matches. See also adaptive-focus statistical shape model for segmentation and shape modeling of 3-D brain structures, An. BibRef

Davatzikos, C.[Christos], Tao, X.D.[Xiao-Dong], Shen, D.G.[Ding-Gang],
Hierarchical active shape models, using the wavelet transform,
MedImg(22), No. 3, March 2003, pp. 414-423.
IEEE Abstract. IEEE Top Reference. 0306
BibRef

Schnabel, J.A.[Julia A.], Arridge, S.R.[Simon R.],
Active Shape Focusing,
IVC(17), No. 5/6, April 1999, pp. 419-428.
WWW Version. BibRef 9904
Earlier:
Multi-Scale Active Shape Description,
ScaleSpace97(xx). 9702
BibRef

Schnabel, J.A.[Julia A.], and Arridge, S.R.[Simon R.],
Active Contour Models for Shape Description Using Multiscale Differential Invariants,
BMVC95(xx)
PDF Version. Multi-scale descriptors to allow for extracting models with high curvature points.
HTML Version. or
Postscript Version. BibRef 9500

Peckar, W.[Wladimir], Schnörr, C.[Christoph], Rohr, K.[Karl], Stiehl, H.S.[H. Siegfried],
Parameter-Free Elastic Deformation Approach for 2D and 3D Registration Using Prescribed Displacements,
JMIV(10), No. 2, March 1999, pp. 143-162.
WWW Version. BibRef 9903
Earlier:
Two-step parameter-free elastic image registration with prescribed point displacements,
CIAP97(I: 527-534).
WWW Version. 9709
BibRef

Latecki, L.J.[Longin Jan], Lakämper, R.[Rolf],
Convexity Rule for Shape Decomposition Based on Discrete Contour Evolution,
CVIU(73), No. 3, March 1999, pp. 441-454.
WWW Version. See also Application of planar shape comparison to object retrieval in image databases. BibRef 9903

Latecki, L.J.[Longin Jan], Megalooikonomou, V.[Vasileios], Wang, Q.A.[Qi-Ang], Yu, D.G.[De-Guang],
An elastic partial shape matching technique,
PR(40), No. 11, November 2007, pp. 3069-3080.
WWW Version. 0707
Shape similarity; Sequences matching; DAG; Shortest path BibRef

Lu, C.E.[Cheng-En], Latecki, L.J.[Longin Jan], Zhu, G.X.[Guang-Xi],
Contour Extraction Using Particle Filters,
ISVC08(II: 192-201).
Springer DOI Link 0812
BibRef

El Moataz, A.[Abderrahim], Schüpp, S.[Sophie], Clouard, R.[Régis], Herlin, P.[Paulette], Bloyet, D.[Daniel],
Using active contours and mathematical morphology tools for quantification of immunohistochemical images,
SP(71), No. 2, 15 December 1998, pp. 215-226. BibRef 9812

Schüpp, S., El Moataz, A., Bloyet, D.,
Discrete Approach for Active Contours for Biomedical Applications,
SCIA01(P-W3A). 0206
BibRef

Xu, C.Y.[Chen-Yang], Prince, J.L.[Jerry L.],
Generalized gradient vector flow external forces for active contours,
SP(71), No. 2, 15 December 1998, pp. 131-139. BibRef 9812
Earlier:
Gradient Vector Flow: A New External Force for Snakes,
CVPR97(66-71).
IEEE Abstract. IEEE Top Reference.
WWW Version. 9704
Code, Snakes. Code:
HTML Version. BibRef

Xu, C.Y., Prince, J.L.,
Snakes, Shapes, and Gradient Vector Flow,
IP(7), No. 3, March 1998, pp. 359-369.
IEEE DOI Link 9803
BibRef

Salden, A.H.[Alfons H.], ter Haar Romeny, B.M.[Bart M.], Viergever, M.A.[Max A.],
Linearised Euclidean Shortening Flow of Curve Geometry,
IJCV(34), No. 1, September-October 1999, pp. 29-67.
WWW Version. BibRef 9909

Davison, N.E., Eviatar, H., Somorjai, R.L.,
Snakes simplified,
PR(33), No. 10, October 2000, pp. 1651-1664.
WWW Version. 0006
BibRef

Venkatesh, Y.V., Rishikesh, N.,
Self-Organizing Neural Networks Based on Spatial Isomorphism for Active Contour Modeling,
PR(33), No. 7, July 2000, pp. 1239-1250.
WWW Version. 0005
BibRef

Venkatesh, Y.V., Raja, S.K., Ramya, N.,
Multiple contour extraction from graylevel images using an artificial neural network,
IP(15), No. 4, April 2006, pp. 892-899.
IEEE DOI Link 0604
BibRef

Höwing, F., Dooley, L.S., Wermser, D.,
Fuzzy active contour model,
VISP(147), No. 4, 2000, pp. 323-330. 0010
BibRef

Choi, W.P.[Wai-Pak], Lam, K.M.[Kin-Man], Siu, W.C.[Wan-Chi],
An adaptive active contour model for highly irregular boundaries,
PR(34), No. 2, February 2001, pp. 323-331.
WWW Version. 0011
BibRef

Sakalli, M., Lam, K.M.[Kin-Man], Yan, H.[Hong],
A Faster Converging Snake Algorithm to Locate Object Boundaries,
IP(15), No. 5, May 2006, pp. 1182-1191.
IEEE DOI Link 0605
BibRef
Earlier:
Shivering greedy snakes, gradient-guided in wavelet domain,
ICIP98(II: 886-890).
IEEE DOI Link 9810
BibRef

Fornefett, M.[Mike], Rohr, K.[Karl], Stiehl, H.S.[H. Siegfried],
Radial basis functions with compact support for elastic registration of medical images,
IVC(19), No. 1-2, January 2001, pp. 87-96.
WWW Version. 0101
BibRef
Earlier:
Elastic Registration of Medical Images Using Radial Basis Functions with Compact Support,
CVPR99(I: 402-407).
IEEE Abstract. IEEE Top Reference.
WWW Version. BibRef

Darrell, T.J.[Trevor J.], Covell, M.M.[Michele M.],
Correspondence with Cumulative Similarity Transforms,
PAMI(23), No. 2, February 2001, pp. 222-227.
IEEE Abstract. IEEE Top Reference.
WWW Version. 0102
Local image transform for tracking near occluding boundaries. Tracking mouths and hands. BibRef

Covell, M.M.[Michele M.], Darrell, T.J.[Trevor J.],
Dynamic Occluding Contours: A New External-energy Term for Snakes,
CVPR99(II: 232-238).
IEEE Abstract. IEEE Top Reference.
WWW Version. BibRef 9900

Darrell, T.J.[Trevor J.],
A Radial Cumulative Similarity Transform for Robust Image Correspondence,
CVPR98(656-662).
IEEE Abstract. IEEE Top Reference. BibRef 9800

Darrell, T.J., Pentland, A.P.,
On the representation of occluded shapes,
CVPR91(728-729).
IEEE Abstract. IEEE Top Reference. 0403
BibRef

Velasco, F.A.[Fernando A.], Marroquín, J.L.[José L.],
Robust parametric active contours: the Sandwich Snakes,
MVA(12), No. 5, 2001, pp. 238-242.
HTML Version. 0103
BibRef

Velasco, F.A.[Fernando A.], Marroquin, J.L.[Jose L.],
Growing snakes: active contours for complex topologies,
PR(36), No. 2, February 2003, pp. 475-482.
WWW Version. 0211
BibRef

Park, H.W.[Hyun-Wook], Schoepflin, T., Kim, Y.M.[Yong-Min],
Active contour model with gradient directional information: Directional snake,
CirSysVideo(11), No. 2, February 2001, pp. 252-256.
IEEE Top Reference. 0104
BibRef

Fenster, S.D.[Samuel D.], Kender, J.R.[John R.],
Sectored Snakes: Evaluating Learned-Energy Segmentations,
PAMI(23), No. 9, September 2001, pp. 1028-1034.
IEEE Abstract. IEEE Top Reference.
WWW Version. 0110
BibRef
Earlier: ICCV98(420-426).
IEEE DOI Link BibRef
And: DARPA98(1193-1199). Learning appled to segmentation with user specified criteria. Learning allows it to not go to the strongest boundary. Secrots of the snake -- intensity and gradient ove equal length sectors of the snake, not globally. BibRef

Dumitras, A., Venetsanopoulos, A.N.,
Angular map-driven snakes with application to object shape description in color images,
IP(10), No. 12, December 2001, pp. 1851-1859.
IEEE DOI Link 0201
BibRef
Earlier:
Color Image-based Angular Map-driven Snakes,
ICIP01(I: 129-132).
IEEE Abstract. IEEE Top Reference. 0108
BibRef

Wang, Z.[Zhiqian], Ben-Arie, J.[Jezekiel],
Detection and segmentation of generic shapes based on affine modeling of energy in Eigenspace,
IP(10), No. 11, November 2001, pp. 1621-1629.
IEEE DOI Link 0201
BibRef
Earlier:
Detection and Segmentation of Generic Shapes Based on Vectorial Affine Modeling of Energy in Eigenspace,
ICPR00(Vol III: 971-975).
IEEE DOI Link
HTML Version. 0009
Grouping in edge maps. Shapes are affine transformed version of basic shapes (rectangles, circles). Use vectorial boundary. Detect then verify. See also Pictorial Recognition of Objects Employing Affine Invariance in the Frequency-Domain. BibRef

Wang, Z.[Zhiqian], Ben-Arie, J.[Jezekiel],
Generic Object Detection using Model Based Segmentation,
CVPR99(II: 428-433).
IEEE Abstract. IEEE Top Reference.
WWW Version. BibRef 9900
Earlier:
Model based segmentation and detection of affine transformed shapes in cluttered images,
ICIP98(III: 75-79).
IEEE DOI Link 9810
Finding generic objects (rectangles, dicrles, etc.) BibRef

Small, C.G.[Christopher G.], Le, H.[Huiling],
The statistical analysis of dynamic curves and sections,
PR(35), No. 7, July 2002, pp. 1597-1609.
WWW Version. 0204
See also Multidimensional scaling of simplex shapes. BibRef

Heo, G.[Giseon], Small, C.G.[Christopher G.],
Form representions and means for landmarks: A survey and comparative study,
CVIU(102), No. 2, May 2006, pp. 188-203.
WWW Version. Survey, Segmentation. Tomography; Invariance 0605
BibRef

Metaxas, D.N.[Dimitris N.], Kakadiaris, I.A.[Ioannis A.],
Elastically Adaptive Deformable Models,
PAMI(24), No. 10, October 2002, pp. 1310-1321.
IEEE Abstract. IEEE Top Reference. 0210
BibRef
Earlier: ECCV96(II:550-559).
Springer DOI Link Adapt the parameters. BibRef

Li, Z.L.[Zheng-Long], Liu, Q.S.[Qing-Shan], Lu, H.Q.[Han-Qing], Metaxas, D.N.[Dimitris N.],
Lennard-Jones force field for Geometric Active Contour,
ICPR08(1-4).
IEEE DOI Link 0812
BibRef

Huang, R.[Rui], Pavlovic, V.[Vladimir], Metaxas, D.N.[Dimitris N.],
A new spatio-temporal MRF framework for video-based object segmentation,
MLMotion08(xx-yy). 0810
BibRef
Earlier:
A Hybrid Framework for Image Segmentation Using Probabilistic Integration of Heterogeneous Constraints,
CVBIA05(82-92).
Springer DOI Link 0601
BibRef
Earlier:
A graphical model framework for coupling MRFs and deformable models,
CVPR04(II: 739-746).
IEEE Abstract. IEEE Top Reference. 0408
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Bianchi, A.G.C.[Andrea G. Campos], Dos Santos, M.F.[Marinilce F.], Britto, D.E.H.[Dânia E. Hamassaki], da Fontoura Costa, L.[Luciano],
Inferring shape evolution,
PRL(24), No. 7, April 2003, pp. 1005-1014.
HTML Version. 0301
BibRef

Wang, J.K.[Jian-Kang], Li, X.B.[Xiao-Bo],
Guiding Ziplock Snakes with a Priori Information,
IP(12), No. 2, February 2003, pp. 176-185.
IEEE DOI Link 0304
BibRef
Earlier: ICPR00(Vol I: 614-617).
IEEE DOI Link
HTML Version. 0009
BibRef

Wang, S.[Song], Siskind, J.M.[Jeffrey Mark],
Image segmentation with ratio cut,
PAMI(25), No. 6, June 2003, pp. 675-690-4.
IEEE Abstract. IEEE Top Reference. 0306
Ratio of corresponding sums of two different weights of edges along th ecut moundary. BibRef

Wang, S.[Song], Siskind, J.M.[Jeffrey Mark],
Image Segmentation with Minimum Mean Cut,
ICCV01(I: 517-524).
IEEE DOI Link 0106
Minimum mean edge weight in the connected graph. BibRef

González Linares, J.M., Guil, N., Zapata, E.L.,
An efficient 2D deformable objects detection and location algorithm,
PR(36), No. 11, November 2003, pp. 2543-2556.
WWW Version. 0309
BibRef
Earlier:
Deformable Shapes Detection by Stochastic Optimization,
ICIP00(Vol I: 780-783).
IEEE Abstract. IEEE Top Reference. 0008
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Gonzalez-Mora, J.[Jose], de la Torre, F.[Fernando], Murthi, R.[Rajesh], Guil, N.[Nicolas], Zapata, E.L.[Emilio L.],
Bilinear Active Appearance Models,
NRTL07(1-8).
IEEE DOI Link 0710
BibRef

Gonzalez-Mora, J.[Jose], Guil, N.[Nicolas], Zapata, E.L.[Emilio L.], de la Torre, F.[Fernando],
Efficient image alignment using linear appearance models,
CVPR09(2230-2237).
IEEE DOI Link 0906
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Wang, X.[Xun], He, L.[Lei], Tang, Y.J.[Ying-Jie], Wee, W.G.,
A divide and conquer deformable contour method with a model based searching algorithm,
SMC-B(33), No. 5, October 2003, pp. 738-751.
IEEE Abstract. IEEE Top Reference. 0310
BibRef

Wang, X.[Xun], Wee, W.G.,
A new deformable contour method,
CIAP99(430-435).
IEEE DOI Link 9909
BibRef

Wang, X.[Xun], He, L.[Lei], Wee, W.G.[William G.],
Deformable Contour Method: A Constrained Optimization Approach,
IJCV(59), No. 1, August 2004, pp. 87-108.
WWW Version. 0404
BibRef
Earlier: Add A3: Han, C.Y., BMVC02(Poster Session). 0208
BibRef

Wang, X.[Xun], Gao, F.[Feng], Wee, W.G.,
Mean Field Annealing Deformable Contour Method: A Constrained Global Optimization Approach,
ICARCV06(1-8).
IEEE DOI Link 0612
BibRef

Gevers, T.,
Robust Segmentation and Tracking of Colored Objects in Video,
CirSysVideo(14), No. 6, June 2004, pp. 776-781.
IEEE Abstract. IEEE Top Reference. 0407
Color based deformable model. Color constant gradients. BibRef

Gevers, T., Ghebreab, S., Smeulders, A.W.M.,
Color Invariant Snakes,
BMVC98(xx-yy). BibRef 9800

Bischoff, S.[Stephan], Kobbelt, L.P.[Leif P.],
Parameterization-free active contour models with topology control,
VC(20), No. 4, June 2004, pp. 217-228.
Springer DOI Link 0406
BibRef

Xu, Q.[Qing], Yang, J.[Jie], Ding, S.Y.[Si-Yi],
Texture Segmentation using LBP embedded Region Competition,
ELCVIA(5), No. 1, 2005, pp. 41-47.
WWW Version. 0505
BibRef

Burghardt, D.[Dirk],
Controlled Line Smoothing by Snakes,
GeoInfo(9), No. 3, September 2005, pp. 237-252.
Springer DOI Link 0509
BibRef

Cheng, J., Foo, S.W.,
Dynamic Directional Gradient Vector Flow for Snakes,
IP(15), No. 6, June 2006, pp. 1563-1571.
IEEE DOI Link 0606
BibRef

Ning, J.[Jifeng], Wu, C.K.[Cheng-Ke], Liu, S.G.[Shi-Gang], Yang, S.[Shuqin],
NGVF: An improved external force field for active contour model,
PRL(28), No. 1, 1 January 2007, pp. 58-63.
WWW Version. 0611
Active contour model; Gradient vector flow; GVF in the normal direction; Image interpolation BibRef

Ning, J.[Jifeng], Wu, C.K.[Cheng-Ke], Liu, S.G.[Shi-Gang], Wen, P.[Peizhi],
A New Active Contour Model: Curvature Gradient Vector Flow,
ACCV06(I:633-642).
Springer DOI Link 0601
BibRef

Li, H.[Hua], Yezzi, A.J.[Anthony J.],
Local or Global Minima: Flexible Dual-Front Active Contours,
PAMI(29), No. 1, January 2007, pp. 1-14.
IEEE DOI Link 0701
BibRef
Earlier: CVBIA05(356-366).
Springer DOI Link 0601
Adjust global-local by adjusting the size of the active region on the contour. BibRef

Shih, F.Y.[Frank Y.], Zhang, K.[Kai],
Locating object contours in complex background using improved snakes,
CVIU(105), No. 2, February 2007, pp. 93-98.
WWW Version. 0702
Snake; Active contour model; Image segmentation; Edge detection BibRef

Mio, W.[Washington], Srivastava, A.[Anuj], Joshi, S.H.[Shantanu H.],
On Shape of Plane Elastic Curves,
IJCV(73), No. 3, July 2007, pp. 307-324.
Springer DOI Link 0703
BibRef
Earlier: A1, A2 Only:
Elastic-string models for representation and analysis of planar shapes,
CVPR04(II: 10-15).
IEEE Abstract. IEEE Top Reference. 0408
BibRef

Joshi, S.H.[Shantanu H.], Srivastava, A.[Anuj],
Intrinsic Bayesian Active Contours for Extraction of Object Boundaries in Images,
IJCV(81), No. 3, March 2009, pp. xx-yy.
Springer DOI Link 0902
Incorporating prior information about high-probability shapes. See also Elastic Shape Models for Face Analysis Using Curvilinear Coordinates. BibRef

Joshi, S.H.[Shantanu H.], Klassen, E.[Eric], Srivastava, A.[Anuj], Jermyn, I.H.[Ian H.],
A Novel Representation for Riemannian Analysis of Elastic Curves in Rn,
CVPR07(1-7).
IEEE DOI Link 0706
BibRef
And:
Removing Shape-Preserving Transformations in Square-Root Elastic (SRE) Framework for Shape Analysis of Curves,
EMMCVPR07(387-398).
Springer DOI Link 0708
BibRef

Srivastava, A.[Anuj], Jermyn, I.H.[Ian H.], Joshi, S.H.[Shantanu H.],
Riemannian Analysis of Probability Density Functions with Applications in Vision,
CVPR07(1-8).
IEEE DOI Link 0706
BibRef

Joshi, S.H.[Shantanu H.], Marquina, A.[Antonio], Osher, S.J.[Stanley J.], Dinov, I.[Ivo], Van Horn, J.D.[John D.], Toga, A.W.[Arthur W.],
Edge-Enhanced Image Reconstruction Using (TV) Total Variation and Bregman Refinement,
SSVM09(389-400).
Springer DOI Link 0906
BibRef

Srivastava, A.[Anuj], Jermyn, I.H.[Ian H.],
Looking for Shapes in Two-Dimensional Cluttered Point Clouds,
PAMI(31), No. 9, September 2009, pp. 1616-1629.
IEEE DOI Link 0907
Samples along contours, corrupted by noise. BibRef

Ozertem, U., Erdogmus, D.,
Nonparametric Snakes,
IP(16), No. 9, September 2007, pp. 2361-2368.
IEEE DOI Link 0709
BibRef

Rousson, M.[Mikael], Paragios, N.[Nikos],
Prior Knowledge, Level Set Representations and Visual Grouping,
IJCV(76), No. 3, March 2008, pp. 231-243.
Springer DOI Link 0801
BibRef
Earlier:
Shape Priors for Level Set Representations,
ECCV02(II: 78 ff.).
HTML Version. 0205
Shape driven object extraction. Shape evolution get the contour and the object pose. BibRef

Savelonas, M.A.[Michalis A.], Iakovidis, D.K.[Dimitris K.], Maroulis, D.E.[Dimitris E.],
LBP-guided active contours,
PRL(29), No. 9, 1 July 2008, pp. 1404-1415.
WWW Version. 0711
BibRef
Earlier:
Bimodal Texture Segmentation with the Lee-Seo Model,
ICIAR07(246-253).
Springer DOI Link 0708
BibRef
Earlier:
An LBP-Based Active Contour Algorithm for Unsupervised Texture Segmentation,
ICPR06(II: 279-282).
WWW Version. 0609
LBP: Local binary patterns; Texture segmentation; Active contours BibRef

Keramidas, E.G.[Eystratios G.], Iakovidis, D.K.[Dimitris K.], Maroulis, D.E.[Dimitris E.], Karkanis, S.A.[Stavros A.],
Efficient and Effective Ultrasound Image Analysis Scheme for Thyroid Nodule Detection,
ICIAR07(1052-1060).
Springer DOI Link 0708
BibRef

Savelonas, M.A.[Michalis A.], Iakovidis, D.K.[Dimitris K.], Maroulis, D.E.[Dimitris E.], Karkanis, S.A.[Stavros A.],
An Active Contour Model Guided by LBP Distributions,
ACIVS06(197-207).
Springer DOI Link 0609
BibRef
And: A2, A1, A4, A3:
Segmentation of Medical Images with Regional Inhomogeneities,
ICPR06(III: 976-979).
WWW Version. 0609
BibRef

Savelonas, M.A.[Michalis A.], Maroulis, D.E.[Dimitris E.], Iakovidis, D.K.[Dimitris K.], Karkanis, S.A.[Stavros A.], Dimitropoulos, N.,
A Variable Background Active Contour Model for Automatic Detection of Thyroid Nodules in Ultrasound Images,
ICIP05(I: 17-20).
IEEE DOI Link 0512
BibRef

Pan, Y.S.[Yong-Sheng], Birdwell, J.D.[J. Douglas], Djouadi, S.M.[Seddik M.],
Preferential Image Segmentation Using Trees of Shapes,
IP(18), No. 4, April 2009, pp. 854-866.
IEEE DOI Link 0903
BibRef
Earlier:
Bottom-Up Hierarchical Image Segmentation Using Region Competition and the Mumford-Shah Functional,
ICPR06(II: 117-121).
WWW Version. 0609
BibRef

Adam, A.[Amit], Kimmel, R.[Ron], Rivlin, E.[Ehud],
On Scene Segmentation and Histograms-Based Curve Evolution,
PAMI(31), No. 9, September 2009, pp. 1708-1714.
IEEE DOI Link 0907
Base on comparing distributions of features. Cross-bin metrics. BibRef

Grady, L.[Leo], Alvino, C.[Christopher],
The Piecewise Smooth Mumford-Shah Functional on an Arbitrary Graph,
IP(18), No. 11, November 2009, pp. 2547-2561.
IEEE DOI Link 0911
BibRef
Earlier:
Reformulating and Optimizing the Mumford-Shah Functional on a Graph: A Faster, Lower Energy Solution,
ECCV08(I: 248-261).
Springer DOI Link 0810
BibRef


Wang, Q.[Qing], Ronneberger, O.[Olaf], Schulze, E.[Ekkehard], Baumeister, R.[Ralf], Burkhardt, H.[Hans],
Using Lateral Coupled Snakes for Modeling the Contours of Worms,
DAGM09(542-551).
Springer DOI Link 0909
BibRef

Garamendi, J.F., Malpica, N., Schiavi, E.,
A Fast Anisotropic Mumford-Shah Functional Based Segmentation,
IbPRIA09(322-329).
Springer DOI Link 0906
See also Automatic Segmentation of the Liver in CT Using Level Sets Without Edges. BibRef

Pei, Z.K.[Zhen-Kui], Zhao, Y.L.[Yan-Li], Liu, Z.[Zhen],
Image segmentation based on Differential Evolution algorithm,
IASP09(48-51).
IEEE DOI Link 0904
BibRef

Zhao, X.M.[Xiao-Ming],
The application of balloon snake model in the extraction of parasite image contour,
IASP09(65-69).
IEEE DOI Link 0904
BibRef

Vatavu, R.D.[Radu-Daniel], Grisoni, L.[Laurent], Pentiuc, S.G.[Stefan-Gheorghe],
Gesture Recognition Based on Elastic Deformation Energies,
GW07(1-12).
Springer DOI Link 0705
BibRef

Hansen, M.S.[Michael Sass], Larsen, R.[Rasmus], Glocker, B.[Ben], Navab, N.[Nassir],
Adaptive parametrization of multivariate B-splines for image registration,
CVPR08(1-8).
IEEE DOI Link 0806
BibRef

Zikic, D.[Darko], Hansen, M.S.[Michael Sass], Glocker, B.[Ben], Khamene, A.[Ali], Larsen, R.[Rasmus], Navab, N.[Nassir],
Computing minimal deformations: application to construction of statistical shape models,
CVPR08(1-8).
IEEE DOI Link 0806
BibRef

Cheng, H.[Hong], Liu, Z.C.[Zi-Cheng], Zheng, N.N.[Nan-Ning], Yang, J.[Jie],
A deformable local image descriptor,
CVPR08(1-8).
IEEE DOI Link 0806
BibRef

Ge, Y.[Yong], Li, S.P.[San-Ping], Li, D.Y.[De-Yu],
New Algorithm for Sub-Pixel Boundary Mapping,
IfromI06(xx-yy).
PDF Version. 0607
BibRef

Tatu, A.[Aditya], Lauze, F.[François], Nielsen, M.[Mads], Olsen, O.F.[Ole Fogh],
Curve Evolution in Subspaces,
SSVM07(754-764).
Springer DOI Link 0705
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

Popescu, D.C.[Dan C.], Joshi, B.[Bhautik], Ourselin, S.[Sébastien],
Real-Time Topology Modification for Finite Element Models with Haptic Feedback,
CAIP05(846).
Springer DOI Link 0509
BibRef

Rexhepi, A.[Astrit], Mokhtarian, F.[Farzin],
Robust Moving Region Boundary Extraction Using Second Order Statistics,
SCIA07(828-837).
Springer DOI Link 0706
BibRef

Rexhepi, A.[Astrit], Mokhtarian, F.[Farzin],
Robust Boundary Delineation Using Random-Phase-Shift Active Contours,
SCIA07(411-420).
Springer DOI Link 0706
BibRef

Rexhepi, A.[Astrit], Mokhtarian, F.[Farzin], Rosenfeld, A.,
Sparse, variable-representation active contour models,
ICPR04(III: 683-686).
IEEE DOI Link 0409
BibRef

Xingfei, G.[Ge], Jie, T.[Tian],
An automatic active contour model for multiple objects,
ICPR02(II: 881-884).
IEEE DOI Link 0211
BibRef

Radeva, P.I., Vitria, J.,
Region-based Approach for Discriminant Snakes,
ICIP01(II: 801-804).
IEEE Abstract. IEEE Top Reference. 0108
BibRef

Pardo, X.M., Radeva, P.I., Villanueva, J.J.,
Self-training statistic snake for image segmentation and tracking,
CIAP99(406-411).
IEEE DOI Link 9909
BibRef

Larsen, O.V.[Ole Vilhelm], Radeva, P.I.[Petia I.], Martí, E.[Enric],
Guidelines for choosing optimal parameters of elasticity for snakes,
CAIP95(106-113).
Springer DOI Link 9509
BibRef

Larsen, O.V.[Ole V.], Radeva, P.I.[Petia I.], Martí, E.[Enric],
Bounds on the optimal elasticity parameters for a snake,
CIAP95(37-42).
Springer DOI Link 9509
BibRef

Radeva, P.I.[Petia I.], Martí, E.[Enric],
An improved model of snakes for model-based segmentation,
CAIP95(515-520).
Springer DOI Link 9509
BibRef

Radeva, P.I.[Petia I.], Serrat, J.[Joan], Marti, E.[Enric],
A Snake for Model-Based Segmentation,
ICCV95(816-821).
IEEE DOI Link
WWW Version. Address convergence and attraction problems wiht a new potential field and external force specification. Use the model to specify the internal force. BibRef 9500

Torre, M.[Margarita], Radeva, P.I.[Petia I.],
Agricultural-Field Extraction on Aerial Images by Region Competition Algorithm,
ICPR00(Vol I: 313-316).
IEEE DOI Link
HTML Version. 0009
See also Road Extraction from Aerial Images Using a Region Competition Algorithm. BibRef

Gomes, J., Faugeras, O.D.,
Using the vector distance functions to evolve manifolds of arbitrary codimension,
ScaleSpace01(xx-yy). 0106
BibRef

Eom, K.,
Contour Analysis Using Time-varying Autoregressive Model,
ICIP00(Vol II: 891-894).
IEEE Abstract. IEEE Top Reference. 0008
BibRef

McCane, B.[Brendan],
Snakes and Spiders,
ICPR00(Vol I: 652-655).
IEEE DOI Link
HTML Version. 0009
BibRef

Galvin, B.[Ben], McCane, B.[Brendan], Novins, K.[Kevin],
Virtual Snakes for Occlusion Analysis,
CVPR99(II: 294-299).
IEEE Abstract. IEEE Top Reference.
WWW Version. BibRef 9900
And:
OSCAR: object segmentation using correspondence and relaxation,
3DIM99(270-278).
IEEE DOI Link 9910
See also Algorithmic Fusion for More Robust Feature Tracking. BibRef

Perera, A.[Amitha], Tsai, C.L.[Chia-Ling], Flatland, R.Y.[Robin Y.], Stewart, C.V.[Charles V.],
Maintaining Valid Topology with Active Contours: Theory and Application,
CVPR00(I: 496-502).
IEEE Abstract. IEEE Top Reference.
WWW Version. 0005
Break into multiple contours BibRef

Luo, H.[Hui], Lu, Q.A.[Qi-Ang], Acharya, R.S., Gaborski, R.,
Robust Snake Model,
CVPR00(I: 452-457).
IEEE Abstract. IEEE Top Reference.
WWW Version. 0005
BibRef

Li, S., Lu, J.,
Modeling Bayesian Estimation for Deformable Contours,
ICCV99(991-996).
IEEE DOI Link BibRef 9900

Liang, J., McInerney, T., Terzopoulos, D.,
United Snakes,
ICCV99(933-940).
IEEE DOI Link BibRef 9900

Mogensen, I.D.O., Nielsen, M.,
Tube Snake Models for 3D Reconstruction of Thin Elongated Structures from their Contour Projections,
SCIA99(Biological Applications). BibRef 9900

de la Fuente, E., Trespaderne, F.M., Peran, J.R.,
A New Approach to Minimize the Energy of Deformable Contours,
MVA98(xx-yy). BibRef 9800

Asano, A.[Akira], Yamashita, T.[Tohru], Yokozeki, S.[Shunsuke],
Active Contour Model Based on Mathematical Morphology,
ICPR98(Vol II: 1455-1457).
IEEE DOI Link 9808
BibRef

MacCormick, J.P., and Blake, A.,
A Probabilistic Contour Discriminant for Object Localisation,
ICCV98(390-395).
IEEE DOI Link BibRef 9800

Dumitras, A., Jerbi, A.[Ali], Kossentini, F.[Faouzi], Liew, D.,
A Z-shaped nonlinear transform for image segmentation and classification in intelligent debris analysis,
ICIP98(III: 313-317).
IEEE DOI Link 9810
BibRef

Yan, P.T., Ye, Q.Z., Ong, S.H., and Tan, S.C.,
Initializing Snakes: A Stepwise Expanding Flexible Balloon,
SCIA97(xx-yy) 9705

HTML Version. BibRef

Raji, A.[Ahmed], Petit, E.[Eric], Lemoine, J.[Jacques], Djeziri, S.[Salim],
A geometrically deformable contour model,
CIAP97(I: 510-518).
WWW Version. 9709
BibRef

Kimmel, R.,
Affine Differential Signatures for Gray Level Images of Planar Shapes,
ICPR96(I: 45-49).
IEEE DOI Link 9608
Denoising (Univ. of California, USA) BibRef

Grace, A.E., and Pycock, D.,
Multiresolution Active Contour Models in Textured Stereo Images,
BMVC96(Poster Session 2). 9608
University of Birmingham BibRef

Sarigianidis, G.H., Pycock, D.,
Motion Correspondence Using a Neural Network,
BMVC93(xx-yy).
PDF Version. 9309
BibRef

Cheung, K.W.[Kwok-Wai], Yeung, D.Y.[Dit-Yan], Chin, R.T.[Roland T.],
Competitive Mixture of Deformable Models for Pattern Classification,
CVPR96(613-618).
IEEE Abstract. IEEE Top Reference.
WWW Version. Snakes for Character Recognition. BibRef 9600

Rowe, S.M., Blake, A.,
Statistical Feature Modelling for Active Contours,
ECCV96(II:560-569).
Springer DOI Link BibRef 9600
Earlier:
Statistical Background Modelling for Tracking with a Virtual Camera,
BMVC95(xx-yy).
PDF Version. 9509
BibRef

Dana, K.J., and Wildes, R.P.,
A Dynamic Energy Image with Applications,
ARPA94(II:1611-1618). BibRef 9400

Berger, M.O.[Marie-Odile],
Snake growing,
ECCV90(570-572).
Springer DOI Link 9004
BibRef

Berger, M.O., Mohr, R.,
Towards autonomy in active contour models,
ICPR90(I: 847-851).
IEEE DOI Link 9006
BibRef

Yang, J.Y., Hu, Q.,
Recognition Method of Shape Distorted Objects Using Hierarchical Feature Descriptions,
ICPR88(II: 894-896).
IEEE DOI Link
IEEE Top Reference. BibRef 8800

Milios, E.E.,
Recovering Shape Deformation by an Extended Circular Image Representation,
ICCV88(20-29).
IEEE Abstract. IEEE Top Reference. BibRef 8800

Weiss, I.,
Curve Fitting with Optimized Mesh Point Placement,
UMD-CS-TR-1710, 1986. BibRef 8600

Rutovitz, D.,
Expanding Picture Components to Natural Density Boundaries by Propagation Methods. The Notions of Fall-Set and Fall-Distance,
ICPR78(657-664). BibRef 7800

Chapter on 2-D Region Segmentation Techniques, Snakes, Active Contours continues in
Snakes, Region Segmentation Issues .


Last update:Nov 16, 2009 at 19:35:14