Blum, H.,
A Transformation for Extracting New Descriptions of Shape,
Originally an internal report.
And:
MPSVF(362-380). 1967.
BibRef
6700
And:
CMetImAly77(153-171).
Medial Axis Transform.
The basic original discussion of the medial axis transform.
BibRef
Blum, H.,
Biological Shape and Visual Science,
Theoretical Biology(38), 1973, pp. 205-287.
BibRef
7300
Blum, H., and
Nagel, R.N.,
Shape Description using Weighted Symmetric Axis Features,
PR(10), No. 3, 1978, pp. 167-180.
WWW Version.
BibRef
7800
Earlier:
PRIP77(203-215).
BibRef
Pfaltz, J.L., and
Rosenfeld, A.,
Computer Representation of Planar Regions by Their Skeletons,
CACM(10), No. 2, February 1967, pp. 119-122.
WWW Version.
BibRef
6702
Montanari, U.,
A Method for Obtaining Skeletons Using a Quasi-Euclidean Distance,
JACM(15), No. 4, October 1968, pp. 600-624.
WWW Version. Introduce Chamfer Distance ideas.
A hierarchy of methods of defining the skeleton is proposed; in the
more complicated ones, the skeleton is relatively invariant under
rotation. Two algorithms for computing the skeleton are defined, and
the corresponding computer programs are compared. A criterion is
proposed for determining the most significant skeleton points.
BibRef
6810
Montanari, U.[Ugo],
Continuous Skeletons from Digitized Images,
JACM(16), No. 4, October 1969, pp. 534-549.
WWW Version.
BibRef
6910
Levi, G., and
Montanari, U.,
A Gray-Weighted Skeleton,
InfoControl(17), August 1972, pp. 62-xx.
BibRef
7208
Mott-Smith, J.C.,
Medial Axis Transformations,
PPP70(267-278).
BibRef
7000
Moore, D.J.H., and
Seidl, R.A.,
On the Medial Axis Function for Visual Patterns,
SMC(4), July 1974, pp. 396-399.
BibRef
7407
Moore, D.J.H.,
Parker, D.J.,
Analysis of global pattern features,
PR(6), No. 3-4, December 1974, pp. 149-164.
WWW Version.
0309
BibRef
Arcelli, C.,
Sanniti di Baja, G.,
On the Sequential Approach to Medial Line Transformation,
SMC(8), 1978, pp. 139-144.
BibRef
7800
Arcelli, C.,
Sanniti di Baja, G.,
Finding Local Maxima in a Pseudo-Euclidean Distance Transform,
CVGIP(43), No. 3, September 1988, pp. 361-367.
WWW Version.
BibRef
8809
Arcelli, C.,
Sanniti di Baja, G.,
Ridge Points in Euclidean Distance Maps,
PRL(13), 1992, pp. 237-243.
BibRef
9200
Arcelli, C.,
Sanniti di Baja, G.,
Quenching Points in Distance Labeled Pictures,
ICPR84(344-346).
BibRef
8400
Earlier:
Medial Lines and Figure Analysis,
ICPR80(1016-1018).
BibRef
Sanniti di Baja, G.[Gabriella],
Skeletonization of Digital Objects,
CIARP06(1-13).
WWW Version.
0611
BibRef
Arcelli, C.,
Cordella, L.P., and
Levialdi, S.,
From Local Maxima to Connected Skeletons,
PAMI(3), No. 2, March 1981, pp. 134-143.
BibRef
8103
Arcelli, C.,
A Condition for Digital Points Removal,
SP(1), No. 4, 1979, pp. 283-285.
BibRef
7900
Hilditch, C.J.,
Linear Skeletons from Square Cupboards,
MI(4), 1969, pp. 403-420.
See also Transformation for Extracting New Descriptions of Shape, A. but using the boundary only as the source of the wavefront?
BibRef
6900
Selkow, S.M.[Stanley M.],
One-Pass Complexity of Digital Picture Properties,
JACM(19), No. 2, April 1972, pp. 283-295.
BibRef
7204
Murthy, I.S.N., and
Udupa, K.J.,
A Search Algorithm for Skeletonization of Thick Patterns,
CGIP(3), No. 3, September 1974, pp. 246-259.
WWW Version.
BibRef
7409
Shapiro, B.,
Pisa, J.,
Sklansky, J.,
Skeleton Generation from x,y Boundary Sequences,
CGIP(15), No. 2, February 1981, pp. 136-153.
WWW Version.
BibRef
8102
Lee, D.T.,
Medial Axis Transformation of A Planar Shape,
PAMI(4), No. 4, July 1982, pp. 363-369.
Algorithm based on Voronoi diagrams.
BibRef
8207
Tsao, Y.F.,
Fu, K.S.,
A General Scheme for Constructing Skeleton Models,
IS(27), No. 1, 1982, pp. 53-87.
BibRef
8200
Tsao, Y.F.,
Fu, K.S.,
Stochastic Skeleton Modeling of Objects,
CVGIP(25), No. 3, March 1984, pp. 348-370.
WWW Version.
BibRef
8403
Peleg, S., and
Rosenfeld, A.,
A Min-Max Medial Axis Transformation,
PAMI(3), No. 2, March 1981, pp. 208-210.
BibRef
8103
Wang, S.,
Rosenfeld, A.,
Wu, A.Y.,
A Medial Axis Transformation for Grayscale Pictures,
PAMI(4), No. 4, July 1982, pp. 419-421.
BibRef
8207
O'Rourke, J.,
Booth, H.,
Washington, R.,
Connect-the-Dots: A New Heuristic,
CVGIP(39), No. 2, August 1987, pp. 258-266.
WWW Version.
BibRef
8708
Leymarie, F.F., and
Levine, M.D.,
Simulating the Grassfire Transform Using an Active Contour Model,
PAMI(14), No. 1, January 1992, pp. 56-75.
IEEE Abstract. IEEE Top Reference.
WWW Version.
Snakes, Active Contours. A large number of references. Further analysis of the skeleton and
the contour to get better results for more realistic data.
For tracking:
See also Tracking Deformable Objects in the Plane Using an Active Contour Model.
BibRef
9201
Leymarie, F.F.,
Levine, M.D.[Martin D.],
Fast Raster Scan Distance Propagation on the
Discrete Rectangular Lattice,
CVGIP(55), No. 1, January 1992, pp. 84-94.
WWW Version.
BibRef
9201
Dill, A.R.,
Levine, M.D., and
Nobel, P.B.,
Multiple Resolution Skeletons,
PAMI(9), No. 4, July 1987, pp. 495-504.
Multiple Resolutions. The general computation of skeletons results in differences when
there is noise. This uses a Gaussian filtering approach to
eliminate this problem.
BibRef
8707
Naccache, N.J., and
Shinghal, R.,
An Investigation into the Skeletonization Approach of Hilditch,
PR(17), No. 3, 1984, pp. 279-284.
WWW Version. See also Linear Skeletons from Square Cupboards.
BibRef
8400
Stefanelli, R.,
A Comment on an Investigation into the Skeletonization Approach
of Hilditch,
PR(19), No. 1, 1986, pp. 13-14.
WWW Version. See also Linear Skeletons from Square Cupboards.
BibRef
8600
Naccache, N.J.,
Shinghal, R.,
In Response to 'A Comment on an Investigation into the
Skeletonization Approach of Hilditch',
PR(19), No. 2, 1986, pp. Page 111.
WWW Version.
BibRef
8600
Xia, Y.,
Skeletonization Via the Realization of the Fire Front's
Propagation and Extinction in Digital Binary Shapes,
PAMI(11), No. 10, October 1989, pp. 1076-1086.
IEEE Abstract. IEEE Top Reference.
WWW Version.
BibRef
8910
Cordella, L.P., and
Sanniti di Baja, G.[Gabriella],
Geometric Properties of the Union of Maximal Neighborhoods,
PAMI(11), No. 2, February 1989, pp. 214-217.
IEEE Abstract. IEEE Top Reference.
WWW Version. Analysis of merging MAT descriptions.
BibRef
8902
Riazanoff, S.,
Cervelle, B., and
Chorowicz, J.,
Parametrisable Skeletonization of Binary and Multilevel Images,
PRL(11), 1990, pp. 25-33.
Direct extraction of skeletons.
BibRef
9000
Nackman, L.R.,
Two-Dimensional Critical Point Configuration Graphs,
PAMI(6), No. 4, July 1984, pp. 442-449.
BibRef
8407
Srinivasan, V.,
Nackman, L.R.,
Tang, J.M.,
Meshkat, S.N.,
Automatic Mesh Generation Using the Symmetric Axis Transformation
of Polygonal Domains,
PIEEE(80), 1992, pp. 1485-1501.
BibRef
9200
Samet, H.,
A Quadtree Medial Axis Transform,
CACM(26), No. 9, September 1983, pp. 680-693.
BibRef
8309
And:
Correction:
CACM(27), No. 2, February 1984, pp. 151.
The code is included.
BibRef
Brandt, J.W., and
Algazi, V.R.,
Continuous Skeleton Computation by Voronoi Diagram,
CVGIP(55), No. 3, May 1992, pp. 329-338.
WWW Version.
BibRef
9205
And:
Computing a Stable, Connected Skeleton from Discrete Data,
CVPR91(666-667).
IEEE Abstract. IEEE Top Reference. The skeleton based on the Voronoi diagram from points along its border.
BibRef
Pai, T.W., and
Hansen, J.H.L.,
Boundary-Constrained Morphological Skeleton Minimization and
Skeleton Reconstruction,
PAMI(16), No. 2, February 1994, pp. 201-208.
IEEE Abstract. IEEE Top Reference.
WWW Version. Seems to say a better representation is the boundary and the
skeleton, but does not say why the boundary is not enough.
BibRef
9402
Arcelli, C., and
Frucci, M.,
Reversible Skeletonization by (5,7,11)-Erosion,
VF91(21-28).
BibRef
9100
Arcelli, C.[Carlo],
Ramella, G.[Giuliana],
Finding Grey-Skeletons by Iterated Pixel Removal,
IVC(13), No. 3, April 1995, pp. 159-167.
WWW Version.
BibRef
9504
And:
Delineation of elongated sub-patterns in a piecewise constant
foreground,
CIAP95(335-340).
WWW Version.
9509
BibRef
Borgefors, G.[Gunilla],
Ramella, G.[Guiliana],
Sanniti di Baja, G.[Gabriella],
Permanence-based shape decomposition in binary pyramids,
CIAP99(38-43).
IEEE DOI may work or IEEE-CS DOI may work.
9909
BibRef
Earlier:
Coarse-to-Fine Skeletons from Grey-Level Pyramids,
ICPR98(Vol I: 400-402).
IEEE DOI may work or IEEE-CS DOI may work.
9808
BibRef
Earlier:
Using top-down and bottom-up analysis for a multi-scale skeleton
hierarchy,
CIAP97(I: 369-376).
WWW Version.
9709
BibRef
Borgefors, G.,
Sanniti di Baja, G.,
Parallel smoothing and decomposition of digital shapes using a
multiresolution structure,
ICPR90(I: 745-748).
IEEE DOI may work or IEEE-CS DOI may work.
9006
BibRef
Salari, E., and
Siy, P.,
The Ridge-Seeking Method for Obtaining the Skeleton of Digital Images,
SMC(14), No. 3, 1984, pp. 524-528.
BibRef
8400
Thiel, E.,
Montanvert, A.[Annick],
Shape Splitting from Medial Lines Using the 3-4 Chamfer Distance,
VF91(537-546).
BibRef
9100
And:
Chamfer masks: discrete distance functions, geometrical properties and
optimization,
ICPR92(III:244-247).
IEEE DOI may work or IEEE-CS DOI may work.
9208Use of the MAT to generate places to break objects
into components.
BibRef
Montanvert, A.[Annick],
Medial Line: Graph Representation and Shape Description,
ICPR86(430-432).
BibRef
8600
Coeurjolly, D.[David],
Montanvert, A.[Annick],
Optimal Separable Algorithms to Compute the Reverse Euclidean Distance
Transformation and Discrete Medial Axis in Arbitrary Dimension,
PAMI(29), No. 3, March 2007, pp. 437-448.
IEEE DOI may work or IEEE-CS DOI may work.
0702Optimal computation of skeletons.
BibRef
Arcelli, C.,
Sanniti di Baja, G.,
Euclidean Skeleton via Centre-of-Maximal-Disc Extraction,
IVC(11), No. 3, April 1993, pp. 163-173.
WWW Version.
BibRef
9304
Sanniti di Baja, G.[Gabriella],
Thiel, E.[Edouard],
(3,4)-Weighted Skeleton Decomposition for
Pattern Representation and Description,
PR(27), No. 8, August 1994, pp. 1039-1049.
WWW Version.
See also Skeletonization Algorithm Running on Path-Based Distance Maps.
BibRef
9408
Sanniti di Baja, G.,
Well-Shaped, Stable, and Reversible Skeletons from the
(3,4)-Distance Transform,
JVCIR(5), 1994, pp. 107-115.
BibRef
9400
Brandt, J.W.,
Convergence and Continuity Criteria for
Discrete Approximations of the Continuous Planar Skeleton,
CVGIP(59), No. 1, January 1994, pp. 116-124.
WWW Version.
BibRef
9401
Verwer, B.J.H.,
van Vliet, L.J.,
Verbeek, P.W.,
Binary And Grey-Value Skeletons: Metrics And Algorithms,
PRAI(7), No. 5, 1993, pp. 1287-1308.
BibRef
9300
Pal, S.K.,
Fuzzy Skeletonization of an Image,
PRL(10), 1989, pp. 17-23.
BibRef
8900
Pal, S.K.,
Rosenfeld, A.,
A Fuzzy Medial Axis Transformation Based on Fuzzy Disks,
PRL(12), 1991, pp. 585-590.
BibRef
9100
Engquist, B.,
Lotstedt, P.,
Sjogreen, B.,
Nonlinear Filters for Efficient Shock Computation,
MathComp(52), No. 186, 1989, pp. 509-537.
BibRef
8900
Fukushima, S.,
Okumura, T.,
Extraction of the Symmetric Pairs of Contour Points as Well as the
Medial Axis from a Planar Figure by a Method Based on
Division of the Plane,
IEICE(J73-D-II), No. 6, 1990, pp. 848-854.
BibRef
9000
And:
English version:
SCJ(22), No. 3, 1991, pp. 74-81.
BibRef
Earlier:
Symmetry Analysis Based on the Voronoi-Delaunay Duality,
SCIA91(878-885).
BibRef
Nilsson, F.,
Danielsson, P.E.,
Finding the Minimal Set of Maximum Disks for Binary Objects,
GMIP(59), No. 1, January 1997, pp. 55-60.
9703Not quite skeletons, but a set of circles.
BibRef
Tari, Z.S.G.,
Shah, J.,
Pien, H.,
Extraction of Shape Skeletons from Grayscale Images,
CVIU(66), No. 2, May 1997, pp. 133-146.
9705Directly from image data.
BibRef
Datta, A.,
Parui, S.K.,
Skeletons from Dot Patterns: A Neural-Network Approach,
PRL(18), No. 4, April 1997, pp. 335-342.
9708
BibRef
Datta, A.[Amitava],
Parui, S.K.,
Chaudhuri, B.B.,
Skeletonization by a Topology-Adaptive Self-Organizing Neural Network,
PR(34), No. 3, March 2001, pp. 617-629.
WWW Version.
0101
BibRef
Earlier:
Skeletal Shape Extraction from Dot Patterns by Self-Organization,
ICPR96(IV: 80-84).
IEEE DOI may work or IEEE-CS DOI may work.
9608(Indian Statistical Institute, IND)
BibRef
Datta, A.,
Pal, T., and
Parui, S.K.,
A modified self-organizing neural net for shape extraction,
Neurocomputing(14), 1997, pp. 3-14.
Topology adaptive self-organizing feature maps.
(TASOFM)
BibRef
9700
Marchand-Maillet, S.,
Sharaiha, Y.M.,
Skeleton Location and Evaluation Based on Local Digital Width in
Ribbon-Like Images,
PR(30), No. 11, November 1997, pp. 1855-1865.
WWW Version.
9801
BibRef
Malandain, G.,
Fernandez Vidal, S.,
Euclidean Skeletons,
IVC(16), No. 5, April 27 1998, pp. 317-327.
WWW Version.
9805
BibRef
Pierrot-Deseilligny, M.[Marc],
Stamon, G.[Georges],
Suen, C.Y.[Ching Y.],
Veinerization: A New Shape Description for Flexible Skeletonization,
PAMI(20), No. 5, May 1998, pp. 505-521.
IEEE Abstract. IEEE Top Reference.
WWW Version.
9806Skeletons do not usually give the ideal center line of the shape.
This work produces a graph that can be used to derive different
skeletons.
BibRef
Siddiqi, K.[Kaleem],
Kimia, B.B.,
Shu, C.W.,
Geometric Shock Capturing ENO Schemes for Subpixel Interpolation,
Computation and Curve Evolution,
GMIP(59), No. 5, September 1997, pp. 278-301.
9712
BibRef
Earlier:
SCV95(437-442)
Brown University.
BibRef
Siddiqi, K.[Kaleem],
Shokoufandeh, A.[Ali],
Dickinson, S.J.[Sven J.],
Zucker, S.W.[Steven W.],
Shock Graphs and Shape Matching,
IJCV(35), No. 1, November 1999, pp. 13-32.
WWW Version.
BibRef
9911
Earlier:
ICCV98(222-229).
IEEE DOI may work or IEEE-CS DOI may work.
BibRef
Fan, K.C.,
Chen, D.F.,
Wen, M.G.,
Skeletonization of Binary Images with Nonuniform Width via
Block Decomposition and Contour Vector Matching,
PR(31), No. 7, July 1998, pp. 823-838.
WWW Version.
9807
BibRef
Beucher, S.,
Digital skeletons in Euclidean and geodesic spaces,
SP(38), No. 1, 1994, pp. 127-141.
BibRef
9400
Pizer, S.M.[Stephen M.],
Eberly, D.[David],
Fritsch, D.S.[Daniel S.],
Morse, B.S.[Bryan S.],
Zoom-Invariant Vision of Figural Shape: The Mathematics of Cores,
CVIU(69), No. 1, January 1998, pp. 55-71.
WWW Version.
Skeletons directly from the image data.
See also Zoom-Invariant Vision of Figural Shape.
BibRef
9801
Pizer, S.M.[Stephen M.],
Gerig, G.,
Joshi, S.C.,
Aylward, S.R.,
Multiscale medial shape-based analysis of image objects,
PIEEE(91), No. 10, October 2003, pp. 1670-1679.
IEEE DOI may work or IEEE-CS DOI may work.
0310
BibRef
Aylward, S.,
Pizer, S.M.,
Bullitt, E.,
Eberly, D.,
Intensity Ridge and Widths for Tubular Object Segmentation
and Description,
MMBIA96(MEDIAL AXES)
BibRef
9600
Furst, J.D.,
Pizer, S.M.,
Eberly, D.,
Marching Cores: A Method for Extracting Cores from 3D Medical Images,
MMBIA96(MEDIAL AXES)
BibRef
9600
Grigorishin, T.[Tanya],
Abdel-Hamid, G.H.[Gamal H.], and
Yang, Y.H.[Yee-Hong],
Skeletonization: An Electrostatic Field-Based Approach,
PAA(1), No. 3, 1998, pp. xx-yy.
BibRef
9800
Earlier:
Univ. of SaskatchewanTechnical report. 1996.
Uses electrostatic field theory to maintain connectedness and topology
of the object skeleton.
HTML Version.
BibRef
Abdel-Hamid, G.H.,
Yang, Y.H.[Yee-Hong],
Multiresolution skeletonization an electrostatic field-based approach,
ICIP94(I: 949-953).
IEEE DOI may work or IEEE-CS DOI may work.
9411
BibRef
Zhong, D.X.[David X.],
Yan, H.[Hong],
Pattern skeletonization using run-length-wise processing for
intersection distortion problem,
PRL(20), No. 8, August 1999, pp. 833-846.
BibRef
9908
Xu, M.[Ming],
Pycock, D.[David],
A Scale-Space Medialness Transform Based on Boundary Concordance Voting,
JMIV(11), No. 3, December 1999, pp. 277-299.
WWW Version.
BibRef
9912
Zhu, S.C.[Song-Chun],
Stochastic Jump-Diffusion Process for Computing Medial Axes in Markov
Random Fields,
PAMI(21), No. 11, November 1999, pp. 1158-1169.
IEEE Abstract. IEEE Top Reference.
WWW Version.
9912
BibRef
Earlier:
Stochastic Computation of Medial Axis in Markov Random Fields,
CVPR98(72-79).
IEEE Abstract. IEEE Top Reference. Statistical inference, not mathematical transform. Related
to Snakes, region growing and region competition.
See also Embedding Gestalt Laws in Markov Random Fields.
BibRef
Zou, J.J.[Ju Jia],
Yan, H.[Hong],
Skeletonization of ribbon-like shapes based on regularity and
singularity analyses,
SMC-B(31), No. 3, June 2001, pp. 401-407.
IEEE Top Reference.
0108
BibRef
Remy, E.,
Thiel, E.,
Medial Axis for Chamfer Distances:
Computing Look-Up Tables and Neighbourhoods in 2D or 3D,
PRL(23), No. 6, April 2002, pp. 649-661.
HTML Version.
0202
BibRef
Remy, E.,
Thiel, E.,
Exact medial axis with euclidean distance,
IVC(23), No. 2, 1 February 2004, pp. 167-175.
WWW Version.
0412
BibRef
Teixeira, R.C.[Ralph Costa],
Medial Axes and Mean Curvature Motion I: Regular Points,
JVCIR(13), No. 1/2, March/June 2002, pp. 135-155.
WWW Version.
0204
BibRef
Teixeira, R.C.[Ralph Costa],
Medial Axes and Mean Curvature Motion II: Singularities,
JMIV(23), No. 1, July 2005, pp. 87-105.
WWW Version.
0505
BibRef
Siddiqi, K.[Kaleem],
Bouix, S.[Sylvain],
Tannenbaum, A.[Allen],
Zucker, S.W.[Steven W.],
Hamilton-Jacobi Skeletons,
IJCV(48), No. 3, July-August 2002, pp. 215-231.
WWW Version.
0207
BibRef
Earlier:
The Hamilton-Jacobi Skeleton,
ICCV99(828-834).
IEEE DOI may work or IEEE-CS DOI may work.
BibRef
Dimitrov, P.,
Damon, J.N.,
Siddiqi, K.,
Flux invariants for shape,
CVPR03(I: 835-841).
IEEE Abstract. IEEE Top Reference.
0307Analysis of skeleton description. To get invariant for matching.
BibRef
August, J.,
Tannenbaum, A.,
Zucker, S.W.,
On the Evolution of the Skeleton,
ICCV99(315-322).
IEEE DOI may work or IEEE-CS DOI may work.
BibRef
9900
Imiya, A.[Atsushi],
Saito, M.[Masahiko],
Tatara, K.[Ken],
Nakamura, K.[Kiwamu],
Digital Curvature Flow and Its Application for Skeletonization,
JMIV(18), No. 1, January 2003, pp. 55-68.
WWW Version.
0301
BibRef
Imiya, A.[Atusihi],
Saito, M.[Masahiko],
Thinning by Curvature Flow,
JVCIR(17), No. 1, February 2006, pp. 27-41.
WWW Version.
0711
BibRef
Earlier:
Add A3:
Nakamura, K.[Kiwamu],
IWCIA04(432-442).
WWW Version.
0505Thinning; Skeleton; Digital geometry; Curvature flow; Topology;
Binary images and objects
BibRef
Choi, W.P.[Wai-Pak],
Lam, K.M.[Kin-Man],
Siu, W.C.[Wan-Chi],
Extraction of the Euclidean skeleton based on a connectivity criterion,
PR(36), No. 3, March 2003, pp. 721-729.
WWW Version.
0301
BibRef
Katz, R.A.[Robert A.],
Pizer, S.M.[Stephen M.],
Untangling the Blum Medial Axis Transform,
IJCV(55), No. 2-3, November-December 2003, pp. 139-153.
WWW Version.
0310
BibRef
Xu, M.[Ming],
The multiscale medial properties of interfering image structures,
PRL(25), No. 1, January 2004, pp. 21-34.
WWW Version.
0311
BibRef
Betelu, S.[Santiago],
Sapiro, G.[Guillermo],
Tannenbaum, A.[Allen],
Giblin, P.J.[Peter J.],
On the computation of the affine skeletons of planar curves and the
detection of skew symmetry,
PR(34), No. 5, May 2001, pp. 943-952.
WWW Version.
0102
BibRef
Earlier:
Noise-Resistant Affine Skeletons of Planar Curves,
ECCV00(I: 742-754).
WWW Version.
0003
BibRef
Niethammer, M.[Marc],
Betelu, S.[Santiago],
Sapiro, G.[Guillermo],
Tannenbaum, A.[Allen],
Giblin, P.J.[Peter J.],
Area-Based Medial Axis of Planar Curves,
IJCV(60), No. 3, December 2004, pp. 203-224.
WWW Version.
0409Point on axis if equidistant form at least 2 points of the curve, distance
given by the area between the curve and its chords.
Apply to skew symmetry.
BibRef
Chung, D.H.[Do Hyun],
Sapiro, G.,
Segmentation-free Skeletonization of Gray-scale Images via PDE's,
ICIP00(Vol II: 927-930).
IEEE Abstract. IEEE Top Reference.
0008
BibRef
Arcelli, C.[Carlo],
Serino, L.[Luca],
Skeletonization of labeled gray-tone images,
IVC(23), No. 2, 1 February 2004, pp. 159-166.
WWW Version.
0412
BibRef
Morrison, P.[Paul],
Zou, J.J.[Ju Jia],
Skeletonization based on error reduction,
PR(39), No. 6, June 2006, pp. 1099-1109.
WWW Version. Skeletonization; Constrained Delaunay Triangulation; Thinning; Medial axis; Binary image processing; Cartoon image processing
0604
BibRef
Goh, W.B.[Wooi-Boon],
Chan, K.Y.[Kai-Yun],
The multiresolution gradient vector field skeleton,
PR(40), No. 4, April 2007, pp. 1255-1269.
WWW Version.
0701
BibRef
Earlier:
Structural and Textural Skeletons for Noisy Shapes,
ISVC05(454-461).
WWW Version.
0512
BibRef
Earlier:
A Shape Descriptor for Shapes with Boundary Noise and Texture,
BMVC03(xx-yy).
HTML Version.
0409
BibRef
And:
Part-Based Shape Recognition Using Gradient Vector Field Histograms,
CAIP03(402-409).
WWW Version.
0311
BibRef
Earlier:
Shape Description Using Gradient Vector Field Histograms,
ScaleSpace03(713-728).
HTML Version.
0310Boundary match.
Skeleton; Shape description; Medial representation; Multiresolution
BibRef
Goh, W.B.[Wooi-Boon],
Strategies for shape matching using skeletons,
CVIU(110), No. 3, June 2008, pp. 326-345.
WWW Version.
0711
BibRef
Earlier:
Strategies for Part-Based Shape Analysis Using Skeletons,
ISVC06(I: 475-484).
WWW Version.
0611Shape matching; Skeletons; Medial representation; Multiresolution
BibRef
Bai, X.[Xiang],
Latecki, L.J.[Longin Jan],
Liu, W.Y.[Wen-Yu],
Skeleton Pruning by Contour Partitioning with Discrete Curve Evolution,
PAMI(29), No. 3, March 2007, pp. 449-462.
IEEE DOI may work or IEEE-CS DOI may work.
0702Prune the skeleton to more simply capture the true shape.
BibRef
Bai, X.[Xiang],
Latecki, L.J.[Longin Jan],
Path Similarity Skeleton Graph Matching,
PAMI(30), No. 7, July 2008, pp. 1282-1292.
IEEE DOI may work or IEEE-CS DOI may work.
0806
BibRef
Earlier:
Discrete Skeleton Evolution,
EMMCVPR07(362-374).
WWW Version.
0708
BibRef
Yang, X.W.[Xing-Wei],
Bai, X.[Xiang],
Yu, D.G.[De-Guang],
Latecki, L.J.[Longin Jan],
Shape Classification Based on Skeleton Path Similarity,
EMMCVPR07(375-386).
WWW Version.
0708
BibRef
Liu, H.R.[Hai-Rong],
Latecki, L.J.[Longin Jan],
Liu, W.Y.[Wen-Yu],
A Unified Curvature Definition for Regular, Polygonal, and Digital
Planar Curves,
IJCV(80), No. 1, October 2008, pp. xx-yy.
WWW Version.
0809
BibRef
Liu, H.R.[Hai-Rong],
Latecki, L.J.[Longin Jan],
Liu, W.Y.[Wen-Yu],
Bai, X.[Xiang],
Visual Curvature,
CVPR07(1-8).
IEEE DOI may work or IEEE-CS DOI may work.
0706
BibRef
Latecki, L.J.[Longin Jan],
Li, Q.N.[Quan-Nan],
Bai, X.[Xiang],
Liu, W.Y.[Wen-Yu],
Skeletonization using SSM of the Distance Transform,
ICIP07(V: 349-352).
IEEE DOI may work or IEEE-CS DOI may work.
0709
BibRef
Couprie, M.[Michel],
Coeurjolly, D.[David],
Zrour, R.[Rita],
Discrete bisector function and Euclidean skeleton in 2D and 3D,
IVC(25), No. 10, 1 October 2007, pp. 1543-1556.
WWW Version.
0709Bisector function; Skeleton; Euclidean distance transform;
Voronoi diagram, Digital topology
BibRef
Normand, N.[Nicolas],
Évenou, P.[Pierre],
Medial Axis LUT Computation for Chamfer Norms Using HH-Polytopes,
DGCI08(xx-yy).
WWW Version.
0804
BibRef
le Bourgeois, F.,
Emptoz, H.,
Skeletonization by Gradient Diffusion and Regularization,
ICIP07(III: 33-36).
IEEE DOI may work or IEEE-CS DOI may work.
0709
BibRef
And:
Skeletonization by Gradient Regularization and Diffusion,
ICDAR07(1118-1122).
IEEE DOI may work or IEEE-CS DOI may work.
0709
BibRef
Cazals, F.[Frédéric],
Pouget, M.[Marc],
Ridges and the medial axis:
Smooth surfaces, umbilics, lines of curvatures, foliations:
a concise overview,
INRIARR-5138, 2004.
HTML Version.
BibRef
0400
Hassouna, M.S.[M. Sabry],
Farag, A.A.[Aly A.],
On the Extraction of Curve Skeletons using Gradient Vector Flow,
ICCV07(1-8).
IEEE DOI may work or IEEE-CS DOI may work.
0710
BibRef
Earlier:
Robust Skeletonization Using the Fast Marching Method,
ICIP05(I: 437-440).
IEEE DOI may work or IEEE-CS DOI may work.
0512
BibRef
Qiu, H.J.[Huai-Jun],
Hancock, E.R.,
Grey scale image skeletonisation from noise-damped vector potential,
ICPR04(II: 839-842).
IEEE DOI may work or IEEE-CS DOI may work.
0409
BibRef
Sanniti di Baja, G.[Gabriella],
Nystrom, I.,
2D Grey-Level Skeleton Computation: A Discrete 3D Approach,
ICPR04(II: 455-458).
IEEE DOI may work or IEEE-CS DOI may work.
0409
BibRef
Yu, Z.Y.[Ze-Yun],
Bajaj, C.,
A segmentation-free approach for skeletonization of gray-scale images
via anisotropic vector diffusion,
CVPR04(I: 415-420).
IEEE Abstract. IEEE Top Reference.
0408
See also Image segmentation using gradient vector diffusion and region merging.
BibRef
Palenichka, R.M.[Roman M.],
Zaremba, M.B.[Marek B.],
Object Shape Extraction Based on the Piecewise Linear Skeletal
Representation,
ICIAR05(464-472).
WWW Version.
0509
BibRef
Earlier:
Multi-scale model-based skeletonization of object shapes using
self-organizing maps,
ICPR02(I: 143-146).
IEEE DOI may work or IEEE-CS DOI may work.
0211
BibRef
Park, J.S.[Jeong-Sun],
Oh, I.S.[Il-Seok],
Shape decomposition and skeleton extraction of character patterns,
ICPR02(III: 411-414).
IEEE DOI may work or IEEE-CS DOI may work.
0211
BibRef
Saeed, K.[Khalid],
Rybnik, M.[Mariusz],
Tabedzki, M.[Marek],
Implementation and Advanced Results on the Non-interrupted
Skeletonization Algorithm,
CAIP01(601 ff.).
HTML Version.
0210
BibRef
Darwish, A.M., and
Jain, A.K.,
Midline Model Based Segmentation,
CVPR86(614-618).
(UC Davis) Processing circuit
boards to find the lines and circles of the pattern.
BibRef
8600
Dimitrov, P.[Pavel],
Phillips, C.[Carlos],
Siddiqi, K.[Kaleem],
Robust and Efficient Skeletal Graphs,
CVPR00(I: 417-423).
IEEE Abstract. IEEE Top Reference.
WWW Version.
0005
BibRef
Golland, P.[Polina],
Grimson, W.E.L.[W. Eric L.],
Fixed Topology Skeletons,
CVPR00(I: 10-17).
IEEE Abstract. IEEE Top Reference.
WWW Version.
0005
BibRef
Singh, R.,
Wade, M.C.,
Papanikolopoulos, N.P.,
Letter Level Shape Description by Skeletonization in Faded Documents,
WACV98(121-126).
IEEE Abstract. IEEE Top Reference.
9809
BibRef
Nakamura, T.[Tsuyoshi],
Mano, J.[Junji],
Enowaki, H.[Hiroshi],
Seki, H.[Hirohisa],
Itoh, H.[Hidenori],
Skeleton Revision Algorithm Using Maximal Circles,
ICPR98(Vol II: 1607-1609).
IEEE DOI may work or IEEE-CS DOI may work.
9808
BibRef
Chung, J.M.[Jae-Moon],
Ohnishi, N.[Noboru],
Chain of Circles for Matching and Recognition of Planar Shapes,
IJCAI97(1482-1487).
BibRef
9700
Bzostek, A.[Andrew],
Wolff, L.B.[Lawrence B.],
Medialness and Skeletonization for Object Recognition
and Shape Similarity,
DARPA97(1219-1222).
BibRef
9700
Ciuc, M.,
Coquin, D.,
Bolon, P.,
Quantitative assessment of two skeletonization algorithms adapted to
rectangular grids,
CIAP97(I: 588-595).
WWW Version.
9709
BibRef
Li, X.Y.[Xing-Yuan],
Oh, W.G.[Weon-Geun],
Hong, J.R.[Jia-Rong],
Skeletonizing by compressed line adjacency graph in two directions,
ICIP96(III: 17-20).
IEEE DOI may work or IEEE-CS DOI may work.
9610
BibRef
Attali, D.[Dominique],
Sanniti di Baja, G.[Gabriella],
Thiel, E.[Edouard],
Pruning discrete and semicontinuous skeletons,
CIAP95(488-493).
WWW Version.
9509
BibRef
Pasquignon, D.,
Computation of skeleton by partial differential equation,
ICIP95(I: 239-241).
IEEE DOI may work or IEEE-CS DOI may work.
9510
BibRef
Petrou, M.,
Palmer, P.L.,
Christmas, W.J.,
Kittler, J.V.,
Robust Skeletonisation and Object Recognition from Grey Images,
AVFP94(455-464).
BibRef
9400
Hall, R.W.,
Connectivity Preservation Tests for Parallel
Reduction-Augmentation Algorithms,
ICPR94(C:245-250).
IEEE DOI may work or IEEE-CS DOI may work.
BibRef
9400
Chaney, R.D.[Ronald D.],
Complexity as a Scale-Space for the Medial Axis Transform,
MIT AI Memo-1397, January 1993.
WWW Version.
BibRef
9301
Vossepoel, A.M.,
Buys, J.P.,
Koelewijn, G.,
Skeletons from chain-coded contours,
ICPR90(II: 70-73).
IEEE DOI may work or IEEE-CS DOI may work.
9208
BibRef
Berthod, M.,
Serendero, M.A.,
Extraction of Thin Networks on Satellite Imagery,
ICPR88(I: 456-458).
IEEE DOI may work or IEEE-CS DOI may work.
IEEE Top Reference.
BibRef
8800
Dorst, L.,
Pseudo-Euclidean Skeletons,
ICPR86(286-288).
BibRef
8600
Ahuja, N.,
Hoff, W.,
Augmented Medial Axis Transform,
ICPR84(336-338).
BibRef
8400
And:
CVWS84(251-256).
BibRef
Badler, N.I.,
Dane, C.,
The Medial Axis of a Coarse Binary Image Using Boundary Smoothing,
PRIP79(286-291).
BibRef
7900
Chapter on 2-D Feature Analysis, Extraction and Representations, Shape, Skeletons, Texture continues in
Distance Transforms, Functions and Skeletons .