6.4.2.3.1 Polygonal Decomposition Techniques

Chapter Contents (Back)
Polygonal Decomposition.

Golomb, S.W.,
Tiling with polyominoes,
JCT-A(1), 1966, pp. 280-296. BibRef 6600

Golomb, S.W.,
Polyominoes which Tile Rectangles,
JCT-A(51), 1989, pp. 117-124. BibRef 8900

Feng, H.Y.F., and Pablidis, T.,
Decomposition of Polygons into Simpler Components,
TC(24), No. 6, June 1975, pp. 636-650. BibRef 7506

Schachter, B.,
Decomposition of Polygons into Convex Sets,
TC(27), No. 11, November 1978, pp. 1078-1082. BibRef 7811

Chow, W.W.,
Automatic Generation of Interlocking Shapes,
CGIP(9), No. 4, April 1979, pp. 333-353.
WWW Version. BibRef 7904

Shapiro, L.G.[Linda G.],
A Structural Model of Shape,
PAMI(2), No. 2, March 1980, pp. 111-126. BibRef 8003

Shapiro, L.G.[Linda G.], and Haralick, R.M.[Robert M.],
Decomposition of Two-Dimensional Shapes by Graph-Theoretic Clustering,
PAMI(1), No. 1, January 1979, pp. 10-20. BibRef 7901

Guerra, C., and Pieroni, G.G.,
A Graph-Theoretic Method for Decomposing Two-Dimensional Polygonal Shapes into Meaningful Parts,
PAMI(4), No. 4, July 1982, pp. 405-408. BibRef 8207

Bjorklund, C.M., and Pavlidis, T.,
Global Shape Analysis by k-Syntactic Similarity,
PAMI(3), No. 2, March 1981, pp. 144-155. BibRef 8103
And: A1 only: Ph.D.Thesis, Princeton, May 1979. BibRef

Bjorklund, C.M., and Pavlidis, T.,
Global Shape Decomposition Using the k-Syntactic Similarity Approach,
PRIP79(445-452). BibRef 7900

O'Rourke, J.,
Polygon Decomposition and Switching Function Minimization,
CGIP(18), No. 4, April 1982, pp. 382-391.
WWW Version. See also New Linear Algorithm for Intersecting Convex Polygons, A. BibRef 8204

O'Rourke, J., Supowit, K.J.,
Some NP-Hard Polygon Decomposition Problems,
IT(29), 1983, pp. 181-190. BibRef 8300

Nevins, A.J.,
Region Extraction from Complex Shapes,
PAMI(4), No. 5, September 1982, pp. 500-511. Decomposition into convex polygons. BibRef 8209

Ferrari, L.A., Sankar, P.V., and Sklansky, J.,
Minimal Rectangular Partitions of Digitized Blobs,
CVGIP(28), No. 1, October 1984, pp. 58-71.
WWW Version. BibRef 8410
Earlier: ICPR80(1040-1043). (UC Irvine) Partition into the minimum number of nonoverlapping rectangles. See also Recognition of Convex Blobs. See also Parallel Detection of Concavities in Cellular Blobs. BibRef

Cappellini, V., del Bimbo, A., Mecocci, A.,
Object Decomposition and Subpart Identification: Classification Algorithms,
IVC(2), No. 2, May 1984, pp. 109-113.
WWW Version. BibRef 8405

Franzblau, D.S., Kleitman, D.J.,
An Algorithm for Covering Polygons with Rectangles,
IC(63), 1984, pp. 164-184. BibRef 8400

Coffman, Jr., E.G., Gilbert, E.N.,
Dynamic, First-Fit Packings in Two or More Dimensions,
InfoControl(61), 1984, pp. 1-14. BibRef 8400

Ahuja, N.[Narendra],
On Approaches to Polygonal Decomposition for Hierarchical Image Representation,
CVGIP(24), No. 2, November 1983, pp. 200-214.
WWW Version. Doesn't seem to say anything shocking, just a summary. BibRef 8311

Avis, D., Toussaint, G.T.,
An Efficient Algorithm for Decomposing a Polygon into Star-Shaped Polygons,
PR(13), No. 6, 1981, pp. 395-398.
WWW Version. BibRef 8100

Asano, T.[Takao], Asano, T.[Tetsuo], and Imai, H.[Hiroshi],
Partitioning a Polygonal Region into Trapezoids,
JACM(33), No. 2, April 1986, pp. 290-312. BibRef 8604

Kundu, S.[Sukhamay], Sridhar, R.[Radhakrishnan],
An O(kN.log N) algorithm for decomposing a set of polygons into d-separable components,
PR(23), No. 7, 1990, pp. 735-743.
WWW Version. 0401 BibRef

Conway, J., Lagarias, J.C.,
Tiling with polyominoes and combinatorial group theory,
JCT-A(53), 1990, pp. 183-208. BibRef 9000

Wenqi, H., Wang, G.Q.,
A Quasi-Mechanical Method for Solving the Rectangle Covering Problem: An Approach to Tackling NP Hard Problems,
GMIP(56), No. 3, 1994, pp. 267-??. BibRef 9400

Held, A., Abe, K.,
On the Decomposition of Binary Shapes into Meaningful Parts,
PR(27), No. 5, May 1994, pp. 637-647.
WWW Version. BibRef 9405

Xu, J.N.,
Hierarchical Representation of 2-D Shapes Using Convex Polygons: A Morphological Approach,
PRL(18), No. 10, October 1997, pp. 1009-1017. 9802 See also generalized discrete morphological skeleton transform with multiple structuring elements for the extraction of structural shape components, A. BibRef

Xu, J.N.[Jian-Ning],
Morphological Decomposition of 2-D Binary Shapes into Simpler Shape Parts,
PRL(17), No. 7, June 10 1996, pp. 759-769. 9607 BibRef

Xu, J.N.[Jian-Ning],
Efficient morphological shape representation without searching,
ICIP98(II: 262-266).
WWW Version. 9810 BibRef

Xu, J.N.,
Morphological Decomposition of 2-D Binary Shapes into Conditionally Maximal Convex Polygons,
PR(29), No. 7, July 1996, pp. 1075-1104.
WWW Version. 9607 BibRef
Earlier: ICIP94(II: 96-100).
WWW Version. 9411 Convexity. See also Efficient morphological shape representation by varying overlapping levels among representative disks. See also Morphological Representation of 2-D Binary Shapes Using Rectangular Components. BibRef

Tuzikov, A.V., Heijmans, H.J.A.M.,
Minkowski Decomposition of Convex Polygons into Their Symmetrical and Asymmetric Parts,
PRL(19), No. 3-4, March 1998, pp. 247-254. 9807 BibRef

Miller, E.G.[Erik G.],
Alternative Tilings for Improved Surface Area Estimates by Local Counting Algorithms,
CVIU(74), No. 3, June 1999, pp. 193-211.
WWW Version. BibRef 9906

Zhang, H.B.[Hong-Bin], Guo, J.J.[Jian-Jun],
Optimal polygonal approximation of digital planar curves using meta heuristics,
PR(34), No. 7, July 2001, pp. 1429-1436.
WWW Version. 0105 BibRef

Chung, K.L.[Kuo-Liang], Yan, W.M.[Wen-Ming], Chen, W.Y.[Wan-Yue],
Efficient algorithms for 3-D polygonal approximation based on LISE criterion,
PR(35), No. 11, November 2002, pp. 2539-2548.
WWW Version. 0208 BibRef

Rocha, J.[Jairo],
Perceptually stable regions for arbitrary polygons,
SMC-B(33), No. 1, February 2003, pp. 165-171.
IEEE Top Reference. 0301 BibRef

Rocha, J.[Jairo],
Efficient Polygon Decomposition into Singular and Regular Regions Via Voronoi Diagrams,
IJDAR(6), No. 2, 2003, pp. 89-101.
WWW Version. 0310 BibRef
Earlier:
Efficient Polygonal Decomposition Into Singular and Regular Regions Via Voronoi Diagrams,
ICPR00(Vol III: 762-765).
WWW Version.
HTML Version. 0009 BibRef

Wu, W.Y.[Wen-Yen],
An adaptive method for detecting dominant points,
PR(36No. 10, October 2003, pp. 2231-2237.
WWW Version. 0308 BibRef

Wu, W.Y.[Wen-Yen],
A dynamic method for dominant point detection,
GM(64), No. 5, September 2002, pp. Graphical Models, Volume 64, Issue 5, September 2002, 304-315.
WWW Version. 0309 BibRef

Marji, M.[Majed], Siy, P.[Pepe],
A new algorithm for dominant points detection and polygonization of digital curves,
PR(36No. 10, October 2003, pp. 2239-2251.
WWW Version. 0308 BibRef

Marji, M.[Majed], Siy, P.[Pepe],
Polygonal representation of digital planar curves through dominant point detection: A nonparametric algorithm,
PR(37), No. 11, November 2004, pp. 2113-2130.
WWW Version. 0409 BibRef

Hermes, L., Buhmann, J.M.,
A minimum entropy approach to adaptive image polygonization,
IP(12), No. 10, October 2003, pp. 1243-1258.
WWW Version. 0310 BibRef


Mi, X.F.[Xiao-Feng], DeCarlo, D.[Doug],
Separating Parts from 2D Shapes using Relatability,
ICCV07(1-8).
WWW Version. 0710 BibRef

Juengling, R.[Ralf], Mitchell, M.[Melanie],
Combinatorial Shape Decomposition,
ISVC07(II: 183-192).
WWW Version. 0711 BibRef

Roussillon, T.[Tristan], Tougne, L.[Laure], Sivignon, I.[Isabelle],
Computation of Binary Objects Sides Number using Discrete Geometry, Application to Automatic Pebbles Shape Analysis,
CIAP07(763-768).
WWW Version. 0709Coarse polygonalization give the number of sides. See also Linear Algorithm for Segmentation of Digital Curves, A. BibRef

Ion, A.[Adrian], Kropatsch, W.G.[Walter G.], Andres, E.[Eric],
Euclidean Eccentricity Transform by Discrete Arc Paving,
DGCI08(xx-yy).
WWW Version. 0804 BibRef

Kropatsch, W.G.[Walter G.], Ion, A.[Adrian], Peltier, S.[Samuel],
Computing the Eccentricity Transform of a Polygonal Shape,
CIARP07(291-300).
WWW Version. 0711 BibRef

Ion, A.[Adrian], Peltier, S.[Samuel], Haxhimusa, Y.[Yll], Kropatsch, W.G.[Walter G.],
Decomposition for Efficient Eccentricity Transform of Convex Shapes,
CAIP07(653-660).
WWW Version. 0708 BibRef

Dexet, M.[Martine], Coeurjolly, D.[David], Andres, E.[Eric],
Invertible Polygonalization of 3D Planar Digital Curves and Application to Volume Data Reconstruction,
ISVC06(II: 514-523).
WWW Version. 0611Linear time extraction. Use for representation of 3D data. BibRef

Vedhanayagam, M.[Masilamani], Krithivasan, K.[Kamala],
An Efficient Reconstruction of 2D-Tiling with t1,2, t2,1, t1,1 Tiles,
IWCIA06(474-480).
WWW Version. 0606 BibRef

Bodini, O.[Olivier], Nouvel, B.[Bertrand],
Z-Tilings of Polyominoes and Standard Basis,
IWCIA04(137-150).
WWW Version. 0505Following on See also Tiling with polyominoes and combinatorial group theory. BibRef

Rocha, J.,
Polygon Partition into Stable Regions,
DAGM02(83 ff.).
HTML Version. 0303 BibRef

Tanase, M.[Mirela], Veltkamp, R.C.[Remco C.],
Polygon Decomposition Based on the Straight Line Skeleton,
WTRCV02(221-244). 0204 BibRef

Ablameyko, S.V., Frucci, M., Marcelli, A.,
Shape Decomposition by (D1,D2)-Weighted Selection and Directional Information,
ICPR96(II: 275-279).
WWW Version. 9608(Univ. di Napoli FedericoII, I) BibRef

Nagao, M., Katayama, M.,
Automatic Figure Decomposition into Elementary Features by Similarity Principle,
ICPR84(63-65). BibRef 8400

Chapter on Detection and Analysis of Edges, Lines, Curves, Corners, Hough Transform continues in
General Triangulation Models, Delaunay .


Last update:Aug 27, 2008 at 19:16:50