7.3.3 Skeletons in Three Dimensions

Chapter Contents (Back)
MAT. Skeletons. Three-Dimensional Skeleton. See also General Three-Dimensional Symmetries.

Bertrand, G., Malandain, G.,
A Note on Building Skeleton Models Via 3-D Medial Surface Axis Thinning Algorithms,
GMIP(57), No. 6, November 1995, pp. 537-538. BibRef 9511

Pudney, C.,
Distance-Ordered Homotopic Thinning: A Skeletonization Algorithm for 3D Digital Images,
CVIU(72), No. 3, December 1998, pp. 404-413.
WWW Version. BibRef 9812

Borgefors, G.[Gunilla], Nystr鰉, I.[Ingela], Sanniti di Baja, G.[Gabriella],
Computing skeletons in three dimensions,
PR(32), No. 7, July 1999, pp. 1225-1236.
WWW Version. BibRef 9907

Sanniti di Baja, G.[Gabriella], Nystr鰉, I.[Ingela], Borgefors, G.[Gunilla],
Discrete 3D Tools Applied to 2D Grey-Level Images,
CIAP05(229-236).
WWW Version. 0509 BibRef

Svensson, S.[Stina], Borgefors, G.[Gunilla], Nystr鰉, I.[Ingela],
On Reversible Skeletonization Using Anchor-Points from Distance Transforms,
JVCIR(10), No. 4, December 1999, pp. 379-397. 0010 BibRef

Svensson, S.[Stina], Nystr鰉, I.[Ingela], Borgefors, G.[Gunilla],
Fully Reversible Skeletonization for Volume Images Based on Anchor-Points from the D^26 Distance Transform,
SCIA99(Image Analysis). BibRef 9900

Svensson, S.[Stina], Borgefors, G.[Gunilla],
Digital Distance Transforms in 3D Images Using Information from Neighbourhoods up to 5󬊅,
CVIU(88), No. 1, October 2002, pp. 24-53.
WWW Version. 0301 BibRef
Earlier: A2, A1:
Fuzzy border distance transforms and their use in 2d skeletonization,
ICPR02(I: 180-183).
WWW Version. 0211 BibRef

Ma, C.M.[Cherng-Min], Wan, S.Y.[Shu-Yen],
A medial-surface oriented 3-d two-subfield thinning algorithm,
PRL(22), No. 13, November 2001, pp. 1439-1446.
HTML Version. 0108 BibRef

Chatzis, V., Pitas, I.,
Interpolation of 3-D binary images based on morphological skeletonization,
MedImg(19), No. 7, July 2000, pp. 699-710.
IEEE Top Reference. 0110 BibRef

Lee, T.Y.[Tong-Yee], Wang, W.H.[Wen-Hsiu],
Morphology-based three-dimensional interpolation,
MedImg(19), No. 7, July 2000, pp. 711-721.
IEEE Top Reference. 0110 BibRef

Jonker, P.P.[Pieter P.],
Skeletons in N dimensions using shape primitives,
PRL(23), No. 6, April 2002, pp. 677-686.
HTML Version. 0202 BibRef

Ma, C.M.[Cherng-Min], Wan, S.Y.[Shu-Yen], Chang, H.K.[Her-Kun],
Extracting medial curves on 3D images,
PRL(23), No. 8, June 2002, pp. 895-904.
HTML Version. 0204 BibRef

Giblin, P.J.[Peter J.], Kimia, B.B.[Benjamin B.],
On the Local Form and Transitions of Symmetry Sets, Medial Axes, and Shocks,
IJCV(54), No. 1-3, August 2003, pp. 143-157.
WWW Version. 0306 BibRef
Earlier: ICCV99(385-391).
WWW Version. BibRef

Giblin, P.J.[Peter J.], Kimia, B.B.[Benjamin B.],
A Formal Classification of 3D Medial Axis Points and their Local Geometry,
PAMI(26), No. 2, February 2004, pp. 238-251.
IEEE Abstract. IEEE Top Reference. 0402 BibRef
Earlier: CVPR00(I: 566-573).
IEEE Abstract. IEEE Top Reference.
WWW Version. 0005 BibRef

Pollitt, A.[Anthony], Giblin, P.J.[Peter J.], Kimia, B.B.[Benjamin B.],
Consistency Conditions on the Medial Axis,
ECCV04(Vol II: 530-541).
WWW Version. 0405 BibRef

Giblin, P.J.[Peter J.], Kimia, B.B.[Benjamin B.],
On the Intrinsic Reconstruction of Shape from its Symmetries,
PAMI(25), No. 7, July 2003, pp. 895-911.
IEEE Abstract. IEEE Top Reference. 0307 BibRef
Earlier: CVPR99(II: 79-84).
IEEE Abstract. IEEE Top Reference.
WWW Version. BibRef
Earlier:
Transitions of the 3D Medial Axis under a One-Parameter Family of Deformations,
ECCV02(II: 718 ff.).
HTML Version. 0205Minimal information to generate closed, non-intersecting boundaries. BibRef

Diatta, A.[Andr閉, Giblin, P.J.[Peter J.],
Geometry of Isophote Curves,
ScaleSpace05(50-61).
WWW Version. 0505 BibRef

Attali, D., Montanvert, A.,
Computing and Simplifying 2D and 3D Continuous Skeletons,
CVIU(67), No. 3, September 1997, pp. 261-273. 9710
WWW Version. BibRef
Earlier:
Modeling noise for a better simplification of skeletons,
ICIP96(III: 13-16).
WWW Version. 9610 BibRef

Attali, D., Bertolino, P., Montanvert, A.,
Using Polyballs to Approximate Shapes and Skeletons,
ICPR94(A:626-628).
WWW Version. BibRef 9400

Bonnassie, A., Peyrin, F., Attali, D.,
A new method for analyzing local shape in three-dimensional images based on medial axis transformation,
SMC-B(33), No. 4, August 2003, pp. 700-705.
IEEE Abstract. IEEE Top Reference. 0308 BibRef
Earlier:
Shape Description of Three-dimensional Images Based on Medial Axis,
ICIP01(III: 931-934).
IEEE Abstract. IEEE Top Reference. 0108 BibRef

Attali, D., Lachaud, J.O.[Jacques-Olivier],
Constructing iso-surfaces satisfying the Delaunay constraint. Application to the skeleton computation,
CIAP99(382-387).
WWW Version. 9909 BibRef

Fadili, M.J., Melkemi, M., El Moataz, A.,
Non-convex onion-peeling using a shape hull algorithm,
PRL(25), No. 14, 15 October 2004, pp. 1577-1585.
WWW Version. 0410 BibRef

Shah, J.[Jayant],
Gray skeletons and segmentation of shapes,
CVIU(99), No. 1, July 2005, pp. 96-109.
WWW Version. 0506 BibRef

Shah, J.[Jayant],
Skeletons of 3D Shapes,
ScaleSpace05(339-350).
WWW Version. 0505 BibRef

Strand, R.[Robin], Borgefors, G.[Gunilla],
Distance transforms for three-dimensional grids with non-cubic voxels,
CVIU(100), No. 3, December 2005, pp. 294-311.
WWW Version. 0512 BibRef

Strand, R.[Robin],
Using the Hexagonal Grid for Three-Dimensional Images: Direct Fourier Method Reconstruction and Weighted Distance Transform,
ICPR06(II: 1169-1172).
WWW Version. 0609 BibRef
Earlier:
The Euclidean Distance Transform Applied to the FCC and BCC Grids,
IbPRIA05(I:243).
WWW Version. 0509 BibRef
Earlier:
Surface skeletons in grids with non-cubic voxels,
ICPR04(I: 548-551).
WWW Version. 0409 BibRef

Strand, R.[Robin],
Weighted distances based on neighbourhood sequences,
PRL(28), No. 15, 1 November 2007, pp. 2029-2036.
WWW Version. 0711 BibRef
Earlier:
Weighted Distances Based on Neighbourhood Sequences in Non-standard Three-Dimensional Grids,
SCIA07(452-461).
WWW Version. 0706Digital geometry; Distance functions; Neighbourhood sequences; Weighted distance; Discrete geometry BibRef

Strand, R.[Robin], Nagy, B.[Benedek],
Weighted Neighborhood Sequences in Non-standard Three-Dimensional Grids: Parameter Optimization,
IWCIA08(xx-yy).
WWW Version. 0804 BibRef
And:
Weighted Neighbourhood Sequences in Non-Standard Three-Dimensional Grids: Metricity and Algorithms,
DGCI08(xx-yy).
WWW Version. 0804 BibRef
Earlier: A2, A1:
Approximating Euclidean Distance Using Distances Based on Neighbourhood Sequences in Non-standard Three-Dimensional Grids,
IWCIA06(89-100).
WWW Version. 0606 BibRef

Cornea, N.D.[Nicu D.], Silver, D.[Deborah], Yuan, X.S.[Xiao-Song], Balasubramanian, R.[Raman],
Computing hierarchical curve-skeletons of 3D objects,
VC(21), No. 11, October 2005, pp. 945-955.
WWW Version. 0511 BibRef

Biasotti, S.[Silvia], Attali, D.[Dominique], Boissonnat, J.D.[Jean-Daniel], Edelsbrunner, H.[Herbert], Elber, G.[Gershon], Mortara, M.[Michela], Sanniti di Baja, G.[Gabriella], Spagnuolo, M.[Michela], Tanase, M.[Mirela], Veltkamp, R.[Remco],
Skeletal Structures,
ShapeAnalysis08(5). 0802 BibRef


Wattuya, P.[Pakaket], Jiang, X.Y.[Xiao-Yi],
A Class of Generalized Median Contour Problem with Exact Solution,
SSPR06(109-117).
WWW Version. 0608Finding average set of contours. BibRef

Ju, T.[Tao], Baker, M.L.[Matthew L.], Chiu, W.[Wah],
Computing a Family of Skeletons of Volumetric Models for Shape Description,
GMP06(235-247).
WWW Version. 0607 BibRef

Arcelli, C.[Carlo], Sanniti di Baja, G.[Gabriella], Serino, L.[Luca],
A New Set of Topology Preserving Removal Operations in the 3D Space,
ICPR06(III: 1055-1058).
WWW Version. 0609 BibRef

Ferchichi, S.[Seifeddine], Wang, S.R.[Sheng-Rui], Grira, S.[Sofiane],
New Algorithm to Extract Centerline of 2D Objects Based on Clustering,
ICIAR07(364-374).
WWW Version. 0708 BibRef
Earlier: A1, A2, Only:
A Clustering-based Algorithm for Extracting the Centerlines of 2D and 3D Objects,
ICPR06(II: 296-299).
WWW Version. 0609 BibRef

Styner, M.[Martin], Gerig, G.[Guido],
Three-Dimensional Medial Shape Representation Incorporating Object Variability,
CVPR01(II:651-656).
IEEE Abstract. IEEE Top Reference. 0110 BibRef

Stolpner, S.[Svetlana], Siddiqi, K.[Kaleem],
Revealing Significant Medial Structure in Polyhedral Meshes,
3DPVT06(365-372).
WWW Version. 0606 BibRef

Bouix, S., Siddiqi, K.,
Divergence-Based Medial Surfaces,
ECCV00(I: 603-618).
WWW Version. 0003 BibRef

Giannitrapani, R.[Riccardo], Murino, V.[Vittorio],
Three-Dimensional Skeleton Extraction by Point Set Contraction,
ICIP99(I:565-569).
IEEE Abstract. IEEE Top Reference. BibRef 9900

Borgefors, G., Sanniti di Baja, G.,
Multiresolution Skeletonization in Binary Pyramids,
ICPR96(IV: 570-574).
WWW Version. 9608(Univ. of Agricultural Sciences, S) BibRef

Vaillant, M., Davatzikos, C., Brya, R.,
Finding 3D Parametric Representation of the Deep Cortical Folds,
MMBIA96(MEDIAL AXES) BibRef 9600

Chapter on 2-D Feature Analysis, Extraction and Representations, Shape, Skeletons, Texture continues in
Processing of Skeletons .


Last update:Jun 25, 2008 at 13:37:57