7.3.1 Distance Transforms, Functions and Skeletons

Chapter Contents (Back)
Skeletons. Medial Axis Transform. Distance Transform.

Fischler, M.A., and Barrett, P.,
An Iconic Transform for Sketch Completion and Shape Abstraction,
CGIP(13), No. 4, August 1980, pp. 334-360.
WWW Version. Introduce the labeled distance transform and apply to generation of skeletons, closest surrounding region, etc. It uses a four-pass Euclidean distance transform. BibRef 8008

Yokoi, S., Toriwaki, J.I., and Fukumura, T.,
Properties of Fusion Distance Transformation and Skeleton for Processing of Gray Pictures,
IECE(61-D), September 1978, pp. 613-xx. BibRef 7809

Toriwaki, J., Saitoh, T., and Okada, M.,
Distance Transformation and Skeleton for Shape Feature Analysis,
VF91(547-563). BibRef 9100

Toriwaki, J.I., and Yokoi, S.,
Distance Transformations and Skeletons of Digitized Pictures with Applications,
PPR82(187-264). BibRef 8200

Meyer, F.,
Skeletons and Perceptual Graphs,
SP(16), 1989, pp. 335-363. BibRef 8900

Meyer, F.,
Digital Euclidean Skeletons,
SPIE(1360), 1990, pp. 251-262. BibRef 9000

Forsgren, P.O., and Seidman, P.,
An Interobject Distance Measure Based on Medial Axes Retrieved from Discrete Distance Maps,
PAMI(12), No. 4, April 1990, pp. 390-397.
IEEE Abstract. IEEE Top Reference.
WWW Version. Use of the MAT between 2 objects. BibRef 9004

Preteux, F.,
Watershed and Skeleton by Influence Zones: A Distance-Based Approach,
JMIV(1), 1992, pp. 239-255. BibRef 9200

Shih, F.Y., Pu, C.C.,
A Skeletonization Algorithm by Maxima Tracking on Euclidean Distance Transform,
PR(28), No. 3, March 1995, pp. 331-341.
WWW Version. BibRef 9503
Earlier:
Medial axis transformation with single-pixel and connectivity preservation using Euclidean distance computation,
ICPR90(I: 723-725).
IEEE DOI Link 9006
BibRef

Wright, M.W.[Mark W.], Cipolla, R.[Roberto], Giblin, P.J.[Peter J.],
Skeletonization Using an Extended Euclidean Distance Transform,
IVC(13), No. 5, June 1995, pp. 367-375.
WWW Version. BibRef 9506
And: BMVC94(559-568).
PDF Version.
HTML Version.
Postscript Version. 9409
BibRef

Kimmel, R., Shaked, D., Kiryati, N., and Bruckstein, A.M.,
Skeletonization via Distance Maps and Level Sets,
CVIU(62), No. 3, November 1995, pp. 382-391.
WWW Version. Segment the boundary first (maximal curvature), then compute a distance map from these points. The skeleton is computed from the distance map. BibRef 9511

Kimmel, R., Bruckstein, A.M.,
Shape offsets via level sets,
CAD(25), No. 3, March 1993, pp. 154-162. BibRef 9303

Kimmel, R., Kiryati, N., Bruckstein, A.M.,
Sub-Pixel Distance Maps and Weighted Distance Transforms,
JMIV(6), No. 2-3, June 1996, pp. 223-233. 9608
BibRef
Earlier: A1 and A3 only: SPIE(2031), 1993, pp. 259-268. BibRef

Niblack, C.W.[C. Wayne], Gibbons, P.B.[Phillip B.], Capson, D.W.[David W.],
Generating Skeletons and Centerlines from the Distance Transform,
GMIP(54), No. 5, September 1992, pp. 420-437. BibRef 9209
And:
Generating Connected Skeletons for Exact and Approximate Reconstruction,
CVPR92(826-828).
IEEE Abstract. IEEE Top Reference. BibRef
Earlier: A1, A3, A2:
Generating Skeletons and Centerlines from the Medial Axis Transform,
ICPR90(I: 881-885).
IEEE DOI Link Different levels of representation for different quality of reconstruction. BibRef

Gibbons, P.B., Niblack, C.W.,
A Width-Independent Parallel Thinning Algorithm,
ICPR92(III:708-711).
IEEE DOI Link BibRef 9200

Nacken, P.F.M.,
Chamfer Metrics, the Medial Axis and Mathematical Morphology,
JMIV(6), No. 2-3, June 1996, pp. 235-248. 9608
BibRef

Nacken, P.F.M.,
Chamfer Metrics in Mathematical Morphology,
JMIV(4), 1994, pp. 233-253. BibRef 9400

Sanniti di Baja, G.[Gabriella], Thiel, E.[Edouard],
Skeletonization Algorithm Running on Path-Based Distance Maps,
IVC(14), No. 1, February 1996, pp. 47-57.
WWW Version. 9608
BibRef
And:
The Path-Based Distance Skeleton: A Flexible Tool to Analyse Silhouette Shape,
ICPR94(B:570-572).
IEEE DOI Link BibRef
And:
A multiresolution shape description algorithm,
CAIP93(208-215).
Springer DOI Link 9309
See also 3,4)-Weighted Skeleton Decomposition for Pattern Representation and Description. BibRef

Borgefors, G., Sanniti di Baja, G.,
Skeletonizing the Distance Transform on the Hexagonal Grid,
ICPR88(I: 504-507).
IEEE DOI Link
IEEE Top Reference. BibRef 8800

Ge, Y.[Yaorong], Fitzpatrick, J.M.[J. Michael],
On the Generation of Skeletons from Discrete Euclidean Distance Maps,
PAMI(18), No. 11, November 1996, pp. 1055-1066.
IEEE Abstract. IEEE Top Reference.
WWW Version. 9612
BibRef
And:
Extraction of Maximal Inscribed Disks from Discrete Euclidean Distance Maps,
CVPR96(556-561).
IEEE Abstract. IEEE Top Reference.
WWW Version. BibRef

Qian, K., Cao, S., Bhattacharya, P.,
Gray Image Skeletonization with Hollow Preprocessing Using Distance Transformation,
PRAI(13), No. 6, September 1999, pp. 881-892i. 0005
BibRef

da Fontoura Costa, L.[Luciano],
Robust Skeletonization through Exact Euclidean Distance Transform and its Application to Neuromorphometry,
RealTimeImg(6), No. 6, December 2000, pp. 415-431. 0101
BibRef

Luppe, M.[Maximiliam], da Fontoura Costa, L.[Luciano], Roda, V.O.[Valentin Obac],
Parallel implementation of exact dilations and multi-scale skeletonization,
RealTimeImg(9), No. 3, June 2003, pp. 163-169.
WWW Version. 0310
BibRef

da Fontoura Costa, L.[Luciano],
Enhanced multiscale skeletons,
RealTimeImg(9), No. 5, October 2003, pp. 314-318.
WWW Version. 0311
BibRef

Zou, J.J.[Ju Jia], Chang, H.H.[Hung-Hsin], Yan, H.[Hong],
Shape skeletonization by identifying discrete local symmetries,
PR(34), No. 10, October 2001, pp. 1895-1905.
WWW Version. 0108
BibRef

Choi, S.W.[Sung Woo], Seidel, H.P.[Hans-Peter],
Hyperbolic Hausdorff Distance for Medial Axis Transform,
GM(63), No. 5, September 2001, pp. 369-384.
WWW Version. 0203
BibRef

Zimmer, H.[Henning], Breuß, M.[Michael], Weickert, J.[Joachim], Seidel, H.P.[Hans-Peter],
Hyperbolic Numerics for Variational Approaches to Correspondence Problems,
SSVM09(636-647).
Springer DOI Link 0906
BibRef

Choi, S.W., Lee, S.W.,
Stability Analysis of Medial Axis Transform Under Relative Hausdorff Distance,
ICPR00(Vol III: 135-138).
IEEE DOI Link
HTML Version. 0009
BibRef

Choi, W.P.[Wai-Pak], Lam, K.M.[Kin-Man], Siu, W.C.[Wan-Chi],
An Efficient and Accurate Algorithm for Extracting a Skeleton,
ICPR00(Vol III: 742-745).
IEEE DOI Link
HTML Version. 0009
BibRef

Pizer, S.M.[Stephen M.], Siddiqi, K.[Kaleem], Székely, G.[Gabor], Damon, J.N.[James N.], Zucker, S.W.[Steven W.],
Multiscale Medial Loci and Their Properties,
IJCV(55), No. 2-3, November-December 2003, pp. 155-179.
WWW Version. 0310
BibRef

Han, Q.O.[Qi-Ong], Pizer, S.M.[Stephen M.], Damon, J.N.[James N.],
Interpolation in Discrete Single Figure Medial Objects,
MMBIA06(85).
IEEE DOI Link 0609
BibRef

Xu, J.N.[Jian-Ning],
A Generalized Discrete Morphological Skeleton Transform with Multiple Structuring Elements for the Extraction of Structural Shape Components,
IP(12), No. 12, December 2003, pp. 1677-1686.
IEEE DOI Link 0402
BibRef
Earlier:
A Generalized Morphological Skeleton Transform and Extraction of Structural Shape Components,
ICIP03(I: 325-328).
IEEE Abstract. IEEE Top Reference. 0312
BibRef
Earlier:
Morphological skeleton and shape decomposition,
ICPR90(I: 876-880).
IEEE DOI Link 9006
See also Morphological Decomposition of 2-D Binary Shapes into Conditionally Maximal Convex Polygons. See also Hierarchical Representation of 2-D Shapes Using Convex Polygons: A Morphological Approach. See also Morphological Decomposition of 2-D Binary Shapes Into Modestly Overlapped Octagonal and Disk Components. BibRef

Liu, X.B.[Xia-Bi], Jia, Y.D.[Yun-De],
A bottom-up algorithm for finding principal curves with applications to image skeletonization,
PR(38), No. 7, July 2005, pp. 1079-1085.
WWW Version. 0505
BibRef

Wang, L.W.[Li-Wei], Zhang, Y.[Yan], Feng, J.F.[Ju-Fu],
On the Euclidean Distance of Images,
PAMI(27), No. 8, August 2005, pp. 1334-1339.
IEEE Abstract. IEEE Top Reference. 0506
Image ED take into account spatial relations of pixels. BibRef

Baudrier, E.[Etienne], Nicolier, F.[Frederic], Millon, G.[Gilles], Ruan, S.[Su],
Binary-image comparison with local-dissimilarity quantification,
PR(41), No. 5, May 2008, pp. 1461-1478.
WWW Version. 0711
BibRef
Earlier: A1, A3, A2, A4:
A fast binary-image comparison method with local-dissimilarity quantification,
ICPR06(III: 216-219).
WWW Version. 0609
BibRef
Earlier: A1, A3, A2, A4:
A new similarity measure using Hausdorff distance map,
ICIP04(I: 669-672).
IEEE DOI Link 0505
Binary images; Hausdorff distance; Similarity measures; Spatial dissimilarity layout; Local analysis BibRef

Shapira, L.[Lior], Shamir, A.[Ariel], Cohen-Or, D.[Daniel],
Consistent mesh partitioning and skeletonisation using the shape diameter function,
VC(24), No. 4, April 2008, pp. xx-yy.
Springer DOI Link 0804
BibRef


Hulin, J.[Jérôme], Thiel, É.[Édouard],
Appearance Radii in Medial Axis Test Mask for Small Planar Chamfer Norms,
DGCI09(434-445).
Springer DOI Link 0909
BibRef

Bailey, D.G.[Donald G.],
An Efficient Euclidean Distance Transform,
IWCIA04(394-408).
WWW Version. 0505
BibRef

Makada, Y., Toriwaki, J.,
Anchor point thinning using a skeleton based on the Euclidean distance transformation,
ICPR02(III: 923-926).
IEEE DOI Link 0211
BibRef

Jang, J.H.[Jeong-Hun], Hong, K.S.[Ki-Sang],
A Pseudo-Distance Map for the Segmentation-Free Skeletonization of Gray-Scale Images,
ICCV01(II: 18-23).
IEEE DOI Link 0106
Skeleton directly with image data. BibRef

Li, H.[Hong], Vossepoel, A.M.[Albert M.],
Generation of the Euclidean Skeleton from the Vector Distance Map by a Bisector Decision Rule,
CVPR98(66-71).
IEEE Abstract. IEEE Top Reference. BibRef 9800

Chehadeh, Y., Coquin, D., Bolon, P.,
A Skeletonization Algorithm Using Chamfer Distance Transformation Adapted to Rectangular Grids,
ICPR96(II: 131-135).
IEEE DOI Link 9608
(Universite de Savoie, F) BibRef

Talbot, H., and Vincent, L.,
Euclidean Skeletons and Conditional Bisectors,
SPIE(1818), Visual Comm. and Image Pricessing, 1992, pp. 862-876. BibRef 9200

Vincent, L.,
Exact Euclidean Distance Function by Chain Propagation,
CVPR91(520-525).
IEEE Abstract. IEEE Top Reference. BibRef 9100

Chapter on 2-D Feature Analysis, Extraction and Representations, Shape, Skeletons, Texture continues in
Use of Skeletons for Recognition and Representation .


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