*Triendl, E.E.[Ernst E.]*,

**Skeletonization of Noisy Hand-Drawn Symbols Using Parallel Operations**,

*PR(2)*, No. 3, September 1970, pp. 215-226.

WWW Link.
BibRef
**7009**

*Stefanelli, S.*, and
*Rosenfeld, A.*,

**Some Parallel Thinning Algorithms for Digital Pictures**,

*JACM(18)*, No. 2, April, 1971, pp. 255-264.
An early parallel implementation.
See also Connectivity in Digital Pictures.
See also Thinning Algorithms for Gray-Scale Pictures.
BibRef
**7104**

*Arcelli, C.*,
*Cordella, L.P.*, and
*Levialdi, S.*,

**Parallel Thinning of Binary Pictures**,

*Electronic Letters(11)*, No. 7, 1975, pp. 148-149.
BibRef
**7500**

*Arcelli, C.*,
*Cordella, L.P.*, and
*Levialdi, S.*,

**A Grassfire Transformation for Binary Digital Pictures**,

*ICPR74*(152-154).
BibRef
**7400**

*Rao, C.V.K.[C. V. Kameswara]*,
*Prasada, B.*,
*Sarma, K.R.*,

**A parallel shrinking algorithm for binary patterns**,

*CGIP(5)*, No. 2, June 1976, pp. 265-270.

WWW Link.
BibRef
**7606**

*Wu, A.Y.*,
*Bhaskar, S.K.*, and
*Rosenfeld, A.*,

**Computation of Geometric Properties from the Medial Axis Transform in
O(n log n) Time**,

*CVGIP(34)*, No. 1, April 1986, pp. 76-92.

WWW Link.
BibRef
**8604**

*Wu, A.[Angela]*,
*Bhaskar, S.K.*,
*Rosenfeld, A.[Azriel]*,

**Parallel Computation of Geometric Properties from
the Medial Axis Transform**,

*CVGIP(41)*, No. 3, March 1988, pp. 323-332.

WWW Link.
BibRef
**8803**

*Nitzan, D.*, and
*Agin, G.J.*,

**Fast Methods for Finding Object Outlines**,

*CGIP(9)*, No. 1, 1979, pp. 22-39.

WWW Link. **Move somewhere else**
Intersections of polyhedra, use chamfer image to find the center, get the wire
frame model.
BibRef
**7900**

*Tsao, Y.F.*, and
*Fu, K.S.*,

**A Parallel Thinning Algorithm for 3D Pictures**,

*CGIP(17)*, No. 4, December 1981, pp. 315-331.

WWW Link.
BibRef
**8112**

Earlier:

**A 3D Parallel Skeletonwise Thinning Algorithm Pictures**,

*PRIP82*(678-683).
BibRef

Earlier:

**Parallel Thinning Operations for Digital Binary Images**,

*PRIP81*(150-155).
BibRef

*Hilditch, C.J.*,

**Comparison of Thinning Algorithms on a Parallel Processor**,

*IVC(1)*, No. 3, August 1983, pp. 115-132.

WWW Link.
BibRef
**8308**

*Bourbakis, N.G.*,

**A Parallel-Symmetric Thinning Algorithm**,

*PR(22)*, No. 4, 1989, pp. 387-396.

WWW Link.
BibRef
**8900**

*Steffensen, N.*,
*Bourbakis, N.G.*,

**A method for parallel skeletonization of images**,

*ICIP95*(II: 109-112).

IEEE DOI
**9510**

BibRef

*Hall, R.W.*,

**Comments on 'A Parallel-Symmetric Thinning Algorithm' by Bourbakis**,

*PR(25)*, No. 4, April 1992, pp. 439-441.

WWW Link.
BibRef
**9204**

*Zhang, T.Y.*, and
*Suen, C.Y.*,

**A Fast Parallel Algorithm for Thinning Digital Patterns**,

*CACM(27)*, No. 3, March 1984, pp. 236-240.
Extract the skeleton (MAT).
BibRef
**8403**

*Lu, H.Y.*, and
*Wang, P.S.P.*,

**A Comment on
'A Fast Parallel Algorithm for Thinning Digital Patterns'**,

*CACM(29)*, No. 3, March 1986, pp. 239-242.
BibRef
**8603**

And:

**An Improved Fast Parallel Thinning Algorithm for Digital Patterns**,

*CVPR85*(364-367).
(National Taiwan Univ. and Northeastern Univ.),
Faster than earlier ones with usually the same results. MAT.
Fast version of
Zhang and Suen (
See also Fast Parallel Algorithm for Thinning Digital Patterns, A. )
and Stefanelli and Rosenfeld (
See also Some Parallel Thinning Algorithms for Digital Pictures. ).
BibRef

*Chen, Y.S.*,
*Yuan-Ze*,
*Hsu, W.H.*,

**Parallel Thinning Algorithm for Binary Digital Patterns**,

*HPRCV92*(II, Chapter 7).
BibRef
**9200**

*Chen, Y.S.*, and
*Hsu, W.H.*,

**A Systematic Approach for Designing 2-Subcycle and Pseudo 1-Subcycle
Parallel Thinning Algorithms**,

*PR(22)*, No. 3, 1989, pp. 267-282.
BibRef
**8900**

Earlier:

**A 1-Subcycle Parallel Thinning Algorithm for Producing Perfect
8-Curves and Obtaining Isotropic Skeleton of an L-Shape Pattern**,

*CVPR89*(208-215).

IEEE DOI
BibRef

*Chen, Y.S.*,

**Comments on: A Systematic Approach for Designing 2-Subcycle and
Pseudo 1-Subcycle Parallel Thinning Algorithms**,

*PR(25)*, No. 12, December 1992, pp. 1545-1546.

WWW Link.
**0401**

BibRef

*Chen, Y.S.*,
*Hsu, W.H.*,

**A Modified Fast Parallel Algorithm for Thinning Digital Patterns**,

*PRL(7)*, 1988, pp. 99-106.
BibRef
**8800**

*Chen, Y.S.[Yung-Sheng]*,

**Hidden Deletable Pixel Detection Using Vector Analysis in
Parallel Thinning to Obtain Bias-Reduced Skeletons**,

*CVIU(71)*, No. 3, September 1998, pp. 294-311.

DOI Link
BibRef
**9809**

Earlier:

**The Use of Hidden Deletable Pixel Detection to
Obtain Bias-Reduced Skeletons in Parallel Thinning**,

*ICPR96*(II: 91-95).

IEEE DOI
**9608**

(Yuan-Ze Inst. of Technology, ROC)
BibRef

*Arcelli, C.*, and
*Sanniti di Baja, G.[Gabriella]*,

**A One-Pass Two-Operation
Process to Detect the Skeletal Pixels on the 4-Distance Transform**,

*PAMI(11)*, No. 4, April 1989, pp. 411-414.

IEEE DOI (CNR Naples, Italy) Compute the skeleton in one raster scan of the
image where 4-Distance (distance from a border) is given for each point.
BibRef
**8904**

*Arcelli, C.*, and
*Sanniti di Baja, G.[Gabriella]*,

**A Width-Independent Fast Thinning Algorithm**,

*PAMI(7)*, No. 4, July 1985, pp. 463-474.
(CNR Naples, Italy) Another fast method.
BibRef
**8507**

*Arcelli, C.*,
*Sanniti di Baja, G.*,

**An Approach to Figure Decomposition Using Width Information**,

*CVGIP(26)*, No. 1, April 1984, pp. 61-72.

WWW Link.
BibRef
**8404**

*Holt, C.M.*,
*Stewart, A.*,
*Clint, M.*, and
*Perrott, R.H.*,

**An Improved Parallel Thinning Algorithm**,

*CACM(30)*, No. 2, February 1987, pp. 156-160.
Simply a variation on the other algorithms.
Probably a good place to start for a good implementation of MAT.
BibRef
**8702**

*Beffert, H.[Helmut]*, and
*Shinghal, R.[Rajjan]*,

**Skeletonizing Binary Patterns on the Homogeneous Multiprocessor**,

*PRAI(3)*, No. 2, 1989, pp. 207-217.
BibRef
**8900**

*Milgram, M.*, and
*de Saint Pierre, T.*,

**Boundary Detection and Skeletonization with
a Massively Parallel Architecture**,

*PAMI(12)*, No. 1, January 1990, pp. 74-78.

IEEE DOI
BibRef
**9001**

*Chen, C.S.*, and
*Tsai, W.H.*,

**A New Fast One-Pass Thinning Algorithm and Its Parallel Hardware
Implementation**,

*PRL(11)*, 1990, pp. 471-477.
BibRef
**9000**

*Wu, R.Y.*, and
*Tsai, W.H.*,

**A New One-Pass Parallel Thinning Algorithm for Binary Images**,

*PRL(13)*, 1992, pp. 715-723.
BibRef
**9200**

*Kim, S.K.*,

**Optimal Parallel Algorithms for Region Labeling and
Medial Axis Transform of Binary Images**,

*SIAM_JDM(4)*, No. 3, 1991, pp. 385-396.
BibRef
**9100**

*Gauch, J.M.*, and
*Pizer, S.M.*,

**Multiresolution Analysis of Ridges and Valleys in Grey-Scale Images**,

*PAMI(15)*, No. 6, June 1993, pp. 635-646.

IEEE DOI
BibRef
**9306**

*Stewart, A.*,

**A One-Pass Thinning Algorithm With Interference Guards**,

*PRL(15)*, No. 8, August 1994, pp. 825-832.
BibRef
**9408**

*Chin, R.T.*,
*Wan, H.K.[Hong-Khoon]*,
*Stover, D.L.*, and
*Iverson, R.D.*,

**A One-Pass Thinning Algorithm and Its Parallel Implementation**,

*CVGIP(40)*, No. 1, October 1987, pp. 30-40.

WWW Link. A 1 pass technique based on 1X4 and 4X1 templates rather than the usual 3X3.
BibRef
**8710**

*Gokmen, M.*, and
*Hall, R.W.*,

**Parallel Shrinking Algorithms Using 2-Subfields Approaches**,

*CVGIP(52)*, No. 2, November 1990, pp. 191-209.

WWW Link.
BibRef
**9011**

*Hall, R.W.*,
*Kuecuek, S.*,

**Parallel 3D Shrinking Algorithms Using Subfields Notions**,

*ICPR92*(I:395-398).

IEEE DOI
BibRef
**9200**

*Jenq, J.F.*, and
*Sahni, S.*,

**Serial and Parallel Algorithms for the Medial Axis Transform**,

*PAMI(14)*, No. 12, December 1992, pp. 1218-1224.

IEEE DOI
BibRef
**9212**

*Ammann, C.J.*, and
*Sartori-Angus, A.G.*,

**Fast Thinning Algorithm for Binary Images**,

*IVC(3)*, No. 2, May 1985, pp. 71-79.

WWW Link.
BibRef
**8505**

*Sinha, R.M.K.*,

**Comments on 'Fast Thinning Algorithm for Binary Images'**,

*IVC(4)*, No. 1, February 1986, pp. 57-58.

WWW Link.
BibRef
**8602**

*Guo, Z.*, and
*Hall, R.W.*,

**Fast Fully Parallel Thinning Algorithms**,

*CVGIP(55)*, No. 3, May 1992, pp. 317-328.

WWW Link.
BibRef
**9205**

*Guo, Z.*, and
*Hall, R.W.*,

**Parallel Thinning with Two-Subiteration Algorithms**,

*CACM(32)*, No. 3, March 1989, pp. 359-373.
BibRef
**8903**

*Hall, R.W.*,

**Fast Parallel Thinning Algorithms:
Parallel Speed and Connectivity Preservation**,

*CACM(32)*, No. 1, January 1989, pp. 124-131.
Evaluation of
See also Improved Parallel Thinning Algorithm, An. with an
improvement. Parallel speed compared with
See also Fast Parallel Algorithm for Thinning Digital Patterns, A. (and as modified by
See also Comment on A Fast Parallel Algorithm for Thinning Digital Patterns, A. ).
BibRef
**8901**

*Hall, R.W.*,

**Optimally Small Operator Supports for
Fully Parallel Thinning Algorithms**,

*PAMI(15)*, No. 8, August 1993, pp. 828-833.

IEEE DOI See the above papers.
BibRef
**9308**

*Evers, C.*,

**Fast Thinning Algorithms for Large Binary Images**,

*VF91*(249-258).
Algorithms suitable for very large binary images
requireing one (or 2) pass through the image.
BibRef
**9100**

*Kalles, D.*, and
*Morris, D.T.*,

**A Novel Fast and Reliable Thinning Algorithm**,

*IVC(11)*, No. 9, November 1993, pp. 588-603.

WWW Link.
BibRef
**9311**

*Kresch, R.*,
*Malah, D.*,

**Morphological Reduction of Skeleton Redundancy**,

*SP(38)*, No. 1, July 1994, pp. 143-151.
BibRef
**9407**

*Kresch, R.*,
*Malah, D.*,

**Skeleton-based Morphological Coding of Binary Images**,

*IP(7)*, No. 10, October 1998, pp. 1387-1399.

IEEE DOI
BibRef
**9810**

*Ferreira, A.[Afonso]*,
*Ubeda, S.[Stephane]*,

**Ultra-Fast Parallel Contour Tracing, With Application To Thinning**,

*PR(27)*, No. 7, July 1994, pp. 867-878.

WWW Link.
BibRef
**9407**

*Ferreira, A.[Afonso]*,
*Ubeda, S.[Stephane]*,

**Computing the Medial Axis Transform in Parallel with Eight Scan
Operations**,

*PAMI(21)*, No. 3, March 1999, pp. 277-282.

IEEE DOI
BibRef
**9903**

Earlier:

**Parallel Complexity of the Medial Axis Transform**,

*ICIP95*(II: 105-108).

IEEE DOI
**9510**

Block based MAT. The MAT using optimal blocks, not optimal distance.
BibRef

*Datta, A.*,
*Parui, S.K.*,

**A Robust Parallel Thinning Algorithm For Binary Images**,

*PR(27)*, No. 9, September 1994, pp. 1181-1192.

WWW Link.
BibRef
**9409**

*Shih, F.Y.*,
*Wong, W.T.*,

**Fully Parallel Thinning With Tolerance To Boundary Noise**,

*PR(27)*, No. 12, December 1994, pp. 1677-1695.

WWW Link.
BibRef
**9412**

*Shih, F.Y.*,
*Wong, W.T.*,

**A New Single-Pass Algorithm for Extracting the Mid-Crack Codes of
Multiple Regions**,

*JVCIR(3)*, No. 3, September 1992, pp. 217-224.
BibRef
**9209**

*Shih, F.Y.*,
*Wong, W.T.*,

**A New Safe-Point Thinning Algorithm Based on the
Mid-Crack Code Tracing**,

*SMC(25)*, No. 2, February 1995, pp. 370-378.
BibRef
**9502**

*Shi, H.C.*,
*Ritter, G.X.*,

**A New Parallel Binary Image Shrinking Algorithm**,

*IP(4)*, No. 2, February 1995, pp. 224-226.

IEEE DOI
BibRef
**9502**

*Haralick, R.M.*,

**Performance Characterization in Image Analysis:
Thinning, a Case in Point**,

*PRL(13)*, No. 1, January 1992, pp. 5-12.
*Evaluation, Thinning*.
*Performance*. See also Performance Characterization in Computer Vision.
BibRef
**9201**

*Jaisimha, M.Y.*,
*Haralick, R.M.*,
*Dori, D.*,

**Quantitative Performance Evaluation of Thinning Algorithms
Under Noisy Conditions**,

*CVPR94*(678-683).

IEEE DOI
*Evaluation, Thinning*.
BibRef
**9400**

*Haralick, R.M.*,
*Jaisimha, M.Y.*,
*Dori, D.*,

**A Methodology for the Characterization of the Performance of
Thinning Algorithms**,

*ICDAR93*(282-286)
BibRef
**9300**

*Sossa, J.H.*,

**An Improved Parallel Algorithm for Thinning Digital Patterns**,

*PRL(10)*, 1989, pp. 77-80.
BibRef
**8900**

*Eckhardt, U.*,

**A Note on Rutovitz' Method for Parallel Thinning**,

*PRL(8)*, 1988, pp. 35-38.
BibRef
**8800**

*Zhang, Y.Y.*, and
*Wang, P.S.P.*,

**Analysis and Design of Parallel Thinning Algorithms: A Generic Approach**,

*PRAI(9)*, 1995, pp. 735-752.
BibRef
**9500**

*Zhang, Y.Y.*,
*Wang, P.S.P.*,

**A Modified Parallel Thinning Algorithm**,

*ICPR88*(II: 1023-1025).

IEEE DOI
BibRef
**8800**

*Zhang, Y.Y.*,

**Redundancy Of Parallel Thinning**,

*PRL(18)*, No. 1, January 1997, pp. 27-35.
**9704**

BibRef

*Zhang, Y.Y.*,
*Wang, P.S.P.*,

**A Parallel Thinning Algorithm with Two-Subiteration That Generates
One-Pixel-Wide Skeletons**,

*ICPR96*(IV: 457-461).

IEEE DOI
**9608**

(Northeastern Univ., USA)
BibRef

*Kong, T.Y.[T. Yung]*,

**On Boundaries and Boundary Crack-Codes of
Multidimensional Digital Images**,

*MDSG94*(71)
BibRef
**9400**

*Chen, Y.J.*,
*Horng, S.J.*,

**Medial Axis Transform on Mesh Connected Computers with
Hyperbus Broadcasting**,

*Computing(59)*, No. 2, 1997, pp. 95-114.
**9710**

BibRef

*Saha, P.K.*,
*Chaudhuri, B.B.*,
*Dutta, D.*,
*Majumder, D.D.*,

**A New Shape-Preserving Parallel Thinning Algorithm for 3D
Digital Images**,

*PR(30)*, No. 12, December 1997, pp. 1939-1955.

WWW Link.
**9805**

BibRef

*Ahmed, M.*,
*Ward, R.K.*,

**Fast One Pass Knowledge Based System for Thinning**,

*JEI(7)*, No. 1, January 1998, pp. 111-116.
**9807**

BibRef

*Zhou, X.L.[Xin-Lun]*,
*Wei, J.[Jian]*,
*Li, F.[Feng]*,
*Woo, P.Y.[Peng-Yung]*,

**A new algorithm for parallel thinning and its hardware realization**,

*IJIST(10)*, No. 4, 1999, pp. 318-322.
BibRef
**9900**

*Borgefors, G.[Gunilla]*,
*Ramella, G.[Giuliana]*,
*Sanniti di Baja, G.[Gabriella]*,

**Shape and topology preserving multi-valued image pyramids for
multi-resolution skeletonization**,

*PRL(22)*, No. 6-7, May 2001, pp. 741-751.

Elsevier DOI
**0105**

See also Using resolution pyramids for watershed image segmentation.
BibRef

*Saha, P.K.[Punam K.]*,
*Borgefors, G.[Gunilla]*,
*Sanniti di Baja, G.[Gabriella]*,

**A survey on skeletonization algorithms and their applications**,

*PRL(76)*, No. 1, 2016, pp. 3-12.

Elsevier DOI
**1605**

*Survey, Skeletonization*. Skeletonization
BibRef

*Rao, S.V.*,
*Mukhopadhyay, A.[Asish]*,

**Fast algorithms for computing -skeletons and their relatives**,

*PR(34)*, No. 11, November 2001, pp. 2163-2172.

WWW Link.
**0108**

BibRef

*Pan, Y.[Yi]*,
*Li, Y.M.[Ya-Min]*,
*Li, J.[Jie]*,
*Li, K.Q.[Ke-Qin]*,
*Zheng, S.Q.[Si Qing]*,

**Efficient parallel algorithms for distance maps of 2-d binary images
using an optical bus**,

*SMC-A(32)*, No. 2, March 2002, pp. 228-236.

IEEE Top Reference.
**0207**

BibRef

*Rockett, P.I.*,

**An Improved Rotation-Invariant Thinning Algorithm**,

*PAMI(27)*, No. 10, October 2005, pp. 1671-1674.

IEEE DOI
**0509**

Analyze Ahmed and Ward:
See also Fast One Pass Knowledge Based System for Thinning. show errors for
2 pixels lines and show how to fix it.
BibRef

IEEE DOI

BibRef

*Romero, F.[Francisco]*,
*Ros, L.[Lluis]*,
*Thomas, F.[Federico]*,

**Fast Skeletonization of Spatially Encoded Objects**,

*ICPR00*(Vol III: 510-513).

IEEE DOI
**0009**

BibRef

*Xu, M.[Ming]*,
*Pycock, D.[David]*,

**Multiscale medial axis through a complete set of optimal scale ridges**,

*ICIP99*(IV:390-394).

IEEE DOI
BibRef
**9900**

Earlier:

**The Multiscale Medial Response of Grey-level Images**,

*BMVC98*(xx-yy).
boundary Confidence Voting
BibRef

*Bernard, T.M.*,
*Manzanera, A.*,

**Improved low complexity fully parallel thinning algorithm**,

*CIAP99*(215-220).

IEEE DOI
**9909**

BibRef

*Xia, F.[Franck]*,

**Parallel thinning algorithm based on the wave propagation's model**,

*CAIP95*(932-937).

Springer DOI
**9509**

BibRef

*Frucci, M.*,
*Marcelli, A.*,

**Parallel skeletonization by directional information**,

*ICIP94*(I: 681-685).

IEEE DOI
**9411**

BibRef

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

Symmetries in Two Dimensions .

Last update:Sep 18, 2017 at 11:34:11