6.4.2.2 Polygonal Representations of Curves

Chapter Contents (Back)
Polygonal Approximation. Polygonal Description. 9605

Nagy, G.[George], Wagle, S.G.[Sharad G.],
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CACM(22), No. 9, September 1979, pp. 518-525.
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Sklansky, J.[Jack], Gonzalez, V.[Victor],
Fast polygonal approximation of digitized curves,
PR(12), No. 5, 1980, pp. 327-331.
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Rosin, P.L.,
Techniques for Assessing Polygonal Approximations of Curves,
PAMI(19), No. 6, June 1997, pp. 659-666.
IEEE DOI 9708
BibRef
Earlier: BMVC96(Poster Session 1). 9608
BibRef
And: Technical ReportCSTR-96-3, February 1996, Brunel University, UK.
PS File. Evaluation. Brunel University. Presents the comparison of results of 23 algorithms on a test curve. And an evaluation criteria. Start here for viable techniques. BibRef

Rosin, P.L.[Paul L.],
Assessing the Behaviour of Polygonal Approximation Algorithms,
PR(36), No. 2, February 2003, pp. 505-518.
WWW Link. 0211
BibRef
Earlier: BMVC98(xx-yy). Continuation from See also Techniques for Assessing Polygonal Approximations of Curves. to assess stability under variations in scale parameters and data. BibRef

Sklansky, J., Chazin, R.L., and Hansen, B.J.,
Minimum Perimeter Polygons of Digitized Silhouettes,
TC(21), No. 3, March 1972, pp. 260-268. BibRef 7203

Sklansky, J., Nahin, P.J.,
A Parallel Mechanism for Describing Silhouettes,
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Kurozumi, Y., and Davis, W.A.,
Polygonal Approximation by the Minimax Method,
CGIP(19), No. 3, July 1982, pp. 248-264.
WWW Link. BibRef 8207

Sarvarayudu, G.P.R., Sethi, I.K.,
Walsh Descriptors for Polygonal Curves,
PR(16), No. 3, 1983, pp. 327-336.
WWW Link. BibRef 8300
Earlier:
Boundary Approximation Using Walsh Series Expansion for Numeral Recognition,
ICPR80(879-881). BibRef

Wall, K., Danielsson, P.E.,
A Fast Sequential Method for Polygonal Approximation of Digitized Curves,
CVGIP(28), No. 2, November 1984, pp. 220-227.
WWW Link. BibRef 8411

Wall, K.,
Curve Fitting Based On Polygonal Approximation,
ICPR86(1273-1275). BibRef 8600

Imai, H., Iri, M.,
Computational-Geometric Methods for Polygonal Approximations of a Curve,
CVGIP(36), No. 1, October 1986, pp. 31-41.
WWW Link. BibRef 8610

Wu, W.Y.[Wen-Yen], Wang, M.J.J.[Mao-Jiun J.],
Detecting the Dominant Points by the Curvature-Based Polygonal Approximation,
GMIP(55), No. 2, March 1993, pp. 79-88. BibRef 9303

Pikaz, A., Dinstein, I.H.,
Using Simple Decomposition for Smoothing and Feature Point Detection Of Noisy Digital Curves,
PAMI(16), No. 8, August 1994, pp. 808-813.
IEEE DOI BibRef 9408

Pikaz, A., Dinstein, I.,
Optimal Polygonal-Approximation of Digital Curves,
PR(28), No. 3, March 1995, pp. 373-379. BibRef 9503
Earlier:
WWW Link. ICPR94(A:619-621).
IEEE DOI BibRef

Perez, J.C., Vidal, E.,
Optimum Polygonal-Approximation Of Digitized-Curves,
PRL(15), No. 8, August 1994, pp. 743-750. BibRef 9408
Earlier:
An algorithm for the optimum piecewise linear approximation of digitized curves,
ICPR92(III:167-170).
IEEE DOI 9208
BibRef

Eu, D., Toussaint, G.T.,
On Approximating Polygonal Curves in 2 and 3 Dimensions,
GMIP(56), No. 3, May 1994, pp. 231-246. BibRef 9405

Chung, P.C., Tsai, C.T., Chen, E.L., Sun, Y.N.,
Polygonal-Approximation Using A Competitive Hopfield Neural-Network,
PR(27), No. 11, November 1994, pp. 1505-1512.
WWW Link. BibRef 9411

Ray, B.K., Ray, K.S.,
A New Approach to Polygonal Approximation,
PRL(12), 1991, pp. 229-234. See also New Split-and-Merge Technique for Polygonal-Approximation of Chain Coded Curves, A. See also Corner Detection Using Iterative Gaussian Smoothing with Constant Window Size. BibRef 9100

Ray, B.K., Ray, K.S.,
Determination of Optimal Polygon from Digital Curve Using L1 Norm,
PR(26), No. 4, April 1993, pp. 505-509.
WWW Link. BibRef 9304

Ray, B.K., Ray, K.S.,
A Nonparametric Sequential Method for Polygonal-Approximation of Digital Curves,
PRL(15), No. 2, February 1994, pp. 161-167. BibRef 9402

Ray, B.K., Ray, K.S.,
Detection of Significant Points and Polygonal Approximation of Digitized Curves,
PRL(13), 1992, pp. 443-452. BibRef 9200

Ray, B.K., Ray, K.S.,
An Algorithm for Polygonal Approximation of Digitized Curves,
PRL(13), 1992, pp. 489-496. BibRef 9200

Ray, B.K., Ray, K.S.,
An Algorithm for Detection of Dominant Points and Polygonal Approximation of Digitzed Curves,
PRL(13), 1992, pp. 849-856. BibRef 9200

Pikaz, A., Dinstein, I.,
An Algorithm for Polygonal-Approximation Based on Iterative Point Elimination,
PRL(16), No. 6, June 1995, pp. 557-563. BibRef 9506

Rannou, F.R.[Fernando R.], Gregor, J.[Jens],
Equilateral Polygon Approximation of Closed Contours,
PR(29), No. 7, July 1996, pp. 1105-1115.
WWW Link. 9607
BibRef

Wu, J.S., Leou, J.J.,
New Polygonal Approximation Schemes for Object Shape Representation,
PR(26), No. 4, April 1993, pp. 471-484.
WWW Link. BibRef 9304

Sato, Y.,
Piecewise Linear Approximation of Plane Curves by Perimeter Optimization,
PR(25), No. 12, December 1992, pp. 1535-1543.
WWW Link. BibRef 9212

Pikaz, A., Averbuch, A.,
On Automatic Threshold Selection for Polygonal Approximations of Digital Curves,
PR(29), No. 11, November 1996, pp. 1835-1845.
WWW Link. 9612
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Pei, S.C., Lin, C.N.,
The Detection of Dominant Points on Digital Curves by Scale-Space Filtering,
PR(25), No. 11, November 1992, pp. 1307-1314.
WWW Link. BibRef 9211

Boxer, L., Chang, C.S., Miller, R.,
Polygonal Approximation by Boundary Reduction,
PRL(14), 1993, pp. 111-119. BibRef 9300

Lavakusha, Pujari, A.K., and Reddy, P.G.,
Polygonal Representation by Edge K-D Trees,
PRL(11), 1990, pp. 391-394. BibRef 9000

Leu, J.G., Chen, L.,
Polygonal Approximation of 2-D Shapes Through Boundary Merging,
PRL(7), 1988, pp. 231-238. BibRef 8800

Sirjani, A., Cross, G.R.,
An Algorithm for Polygonal Approximation of a Digital Object,
PRL(7), 1988, pp. 299-303. BibRef 8800

Cordella, L.P., Dettori, G.,
An O(N) Algorithm for Polygonal Approximation,
PRL(3), 1985, pp. 93-97. BibRef 8500

Dettori, G.,
An On-Line Algorithm for Polygonal Approximation of Digitized Plane Curves,
ICPR82(739-741). BibRef 8200

Chan, W.S., Chin, F.,
On Approximation of Polygonal Curves with Minimum Number of Line Segments or Minimum Error,
CompGeomApp(6), 1996, pp. 59-77. BibRef 9600

Hu, J.M., Yan, H.,
Polygonal-Approximation of Digital Curves Based on the Principles of Perceptual Organization,
PR(30), No. 5, May 1997, pp. 701-718.
WWW Link. 9705
BibRef

Zhu, Y., Seneviratne, L.D.,
Optimal Polygonal-Approximation of Digitized-Curves,
VISP(144), No. 1, February 1997, pp. 8-14. 9706
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Ekman, A., Torne, A., Stromberg, D.,
Exploration of Polygonal Environments Using Range Data,
SMC-B(27), No. 2, April 1997, pp. 250-255.
IEEE Top Reference. 9704
BibRef

Schuster, G.M.[Guido M.], Katsaggelos, A.K.,
An Optimal Polygonal Boundary Encoding Scheme in the Rate-Distortion Sense,
IP(7), No. 1, January 1998, pp. 13-26.
IEEE DOI 9801
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Meier, F., Schuster, G.M.[Guido M.], Katsaggelos, A.K.,
An Efficient Boundary Encoding Scheme which is Optimal in the Rate-Distortion Sense,
ICIP97(II: 9-12).
IEEE DOI BibRef 9700

Iñesta Quereda, J.M.[José Manuel], Buendía Gómez, M.[Mateo], Sarti, M.A.,
Reliable Polygonal Approximations of Imaged Real Objects Through Dominant Point Detection,
PR(31), No. 6, June 1998, pp. 685-697.
WWW Link. 9806
BibRef

Wang, W.X.,
Binary Image Segmentation of Aggregates Based on Polygonal-Approximation and Classification of Concavities,
PR(31), No. 10, October 1998, pp. 1503-1524.
WWW Link. 9808
BibRef

Wang, W.X., and Stephansson, O.,
Binary Image Segmentation of Aggregates Based on Polygonal Approximation,
SCIA97(xx-yy) 9705

HTML Version. BibRef

Bergevin, R.[Robert], Mokhtari, M.[Marielle],
Multiscale Contour Segmentation and Approximation: An Algorithm Based on the Geometry of Regular Inscribed Polygons,
CVIU(71), No. 1, July 1998, pp. 55-73.
DOI Link BibRef 9807
Earlier: A2, A1:
Multiscale Compression of Planar Curves Using Constant Curvature Segments,
ICPR98(Vol I: 744-746).
IEEE DOI 9808
BibRef

Bergevin, R., Bubel, A.,
Object-level structured contour map extraction,
CVIU(91), No. 3, September 2003, pp. 302-334.
WWW Link. 0310
Extract contours from junctions. BibRef

Bergevin, R., Bubel, A.,
Detection and characterization of junctions in a 2D image,
CVIU(93), No. 3, March 2004, pp. 288-309.
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Garai, G.[Gautam], Chaudhuri, B.B.,
A split and merge procedure for polygonal border detection of dot pattern,
IVC(17), No. 1, January 1999, pp. 75-82.
WWW Link. BibRef 9901

Huang, S.C.[Shu-Chien], Sun, Y.N.[Yung-Nien],
Polygonal approximation using genetic algorithms,
PR(32), No. 8, August 1999, pp. 1409-1420.
WWW Link. BibRef 9908

Davis, T.J.,
Fast Decomposition of Digital Curves into Polygons Using the Haar Transform,
PAMI(21), No. 8, August 1999, pp. 786-790.
IEEE DOI BibRef 9908

Qjidaa, H., Radouane, L.,
Robust Line Fitting in a Noisy Image by the Method of Moments,
PAMI(21), No. 11, November 1999, pp. 1216-1223.
IEEE DOI 9912
Overcome errors with least squares when the noise is extreme. BibRef

Kiryati, N.[Nahum], Bruckstein, A.M.[Alfred M.], Mizrahi, H.,
Comments on: 'Robust Line Fitting in a Noisy Image by the Method of Moments',
PAMI(22), No. 11, November 2000, pp. 1340-1341.
IEEE DOI 0012
See also Heteroscedastic Hough Transform (HtHT): An Efficient Method for Robust Line Fitting in the 'Errors in the Variables' Problem. BibRef

Kim, J.I.[Jong Il], Bovik, A.C.[Alan C.], Evans, B.L.[Brian L.],
Generalized predictive binary shape coding using polygon approximation,
SP:IC(15), No. 7-8, May 2000, pp. 643-663.
WWW Link. 0005
BibRef

Salotti, M.[Marc],
An efficient algorithm for the optimal polygonal approximation of digitized curves,
PRL(22), No. 2, February 2001, pp. 215-221.
Elsevier DOI 0101
BibRef
Earlier:
Improvement of Perez and Vidal Algorithm for the Decomposition of Digitized Curves Into Line Segments,
ICPR00(Vol II: 878-882).
IEEE DOI 0009
See also Optimum Polygonal-Approximation Of Digitized-Curves. BibRef

Salotti, M.[Marc],
Optimal polygonal approximation of digitized curves using the sum of square deviations criterion,
PR(35), No. 2, February 2002, pp. 435-443.
WWW Link. 0201
BibRef

Ho, S.Y.[Shinn-Ying], Chen, Y.C.[Yeong-Chinq],
An efficient evolutionary algorithm for accurate polygonal approximation,
PR(34), No. 12, December 2001, pp. 2305-2317.
WWW Link. 0110
See also Mesh optimization for surface approximation using an efficient coarse-to-fine evolutionary algorithm. BibRef

Shu, H.Z., Luo, L.M., Zhou, J.D., Bao, X.D.,
Moment-based methods for polygonal approximation of digitized curves,
PR(35), No. 2, February 2002, pp. 421-434.
WWW Link. 0201
BibRef

Latecki, L.J.[Longin Jan], Rosenfeld, A.[Azriel],
Recovering a Polygon from Noisy Data,
CVIU(86), No. 1, April 2002, pp. 32-51.
DOI Link 0211
BibRef

Latecki, L.J.[Longin Jan], Lakämper, R.[Rolf],
Polygon Evolution by Vertex Deletion,
ScaleSpace99(398-409). BibRef 9900

Latecki, L.J.[Longin Jan], Lakaemper, R.[Rolf], Sobel, M.[Marc],
Polygonal Approximation of Point Sets,
IWCIA06(159-173).
Springer DOI 0606
BibRef

Choi, J.G., Lee, S.W., Kang, H.S.,
Dynamic programming approach to optimal vertex selection for polygon-based shape approximation,
VISP(150), No. 4, October 2003, pp. 287-291.
IEEE Abstract. 0401
BibRef

Dörksen-Reiter, H.[Helene], Debled-Rennesson, I.[Isabelle],
A Linear Algorithm for Polygonal Representations of Digital Sets,
IWCIA06(307-319).
Springer DOI 0606
BibRef

Debled-Rennesson, I.[Isabelle], Tabbone, S.A.[Salvatore A.], Wendling, L.[Laurent],
Multiorder polygonal approximation of digital curves,
ELCVIA(5), No. 2, 2005, pp. 98-110.
WWW Link. 0001
BibRef
Earlier:
Fast polygonal approximation of digital curves,
ICPR04(I: 465-468).
IEEE DOI 0409
See also Linear Algorithm for Segmentation of Digital Curves, A. BibRef

Kolesnikov, A.[Alexander], Fränti, P.[Pasi],
Reduced-search dynamic programming for approximation of polygonal curves,
PRL(24), No. 14, October 2003, pp. 2243-2254.
WWW Link. 0307
BibRef
Earlier:
A fast near-optimal algorithm for approximation of polygonal curves,
ICPR02(IV: 335-338).
IEEE DOI 0211
See also Lossless Compression of Map Contours by Context Tree Modeling of Chain Codes. BibRef

Kolesnikov, A.[Alexander],
Segmentation and multi-model approximation of digital curves,
PRL(33), No. 9, 1 July 2012, pp. 1171-1179.
Elsevier DOI 1202
BibRef
Earlier:
Nonparametric polygonal and multimodel approximation of digital curves with Rate-Distortion curve modeling,
ICIP11(2889-2892).
IEEE DOI 1201
BibRef
Earlier:
Approximation of digitized curves with cubic Bézier splines,
ICIP10(4285-4288).
IEEE DOI 1009
BibRef
And:
Fast algorithm for error-bounded compression of digital curves,
ICIP10(1453-1456).
IEEE DOI 1009
BibRef
Earlier:
Minimum Description Length approximation of digital curves,
ICIP09(449-452).
IEEE DOI 0911
BibRef
Earlier:
An online polygonal approximation of digital signals and curves with Dynamic Programming algorithm,
ICPR08(1-4).
IEEE DOI 0812
BibRef
And:
Constrained piecewise linear approximation of digital curves,
ICPR08(1-4).
IEEE DOI 0812
BibRef
Earlier:
Optimal Algorithm for Lossy Vector Data Compression,
ICIAR07(761-771).
Springer DOI 0708
BibRef
Earlier:
Optimal Encoding of Vector Data with Polygonal Approximation and Vertex Quantization,
SCIA05(1186-1195).
Springer DOI 0506
Curve segmentation; Multi-model approximation; Minimum Description Length; Circular arcs; Polygonal approximation; Trajectory modeling See also Lossless Compression of Map Contours by Context Tree Modeling of Chain Codes. BibRef

Kolesnikov, A.[Alexander],
ISE-bounded polygonal approximation of digital curves,
PRL(33), No. 10, 15 July 2012, pp. 1329-1337.
Elsevier DOI 1205
BibRef
Earlier:
Fast algorithm for ISE-bounded polygonal approximation,
ICIP08(1013-1016).
IEEE DOI 0810
Polygonal approximation; Dynamic Programming; Shape encoding; Shape analysis; Vector maps compression; Vectorization BibRef

Kolesnikov, A.[Alexander], Kauranne, T.[Tuomo],
Unsupervised segmentation and approximation of digital curves with rate-distortion curve modeling,
PR(47), No. 2, 2014, pp. 623 - 633.
Elsevier DOI 1311
Shape BibRef

Kolesnikov, A., Franti, P., Wu, X.L.[Xiao-Lin],
Multiresolution polygonal approximation of digital curves,
ICPR04(II: 855-858).
IEEE DOI 0409
BibRef

Kolesnikov, A.[Alexander], Fränti, P.[Pasi],
Polygonal approximation of closed discrete curves,
PR(40), No. 4, April 2007, pp. 1282-1293.
WWW Link. 0701
BibRef
Earlier:
Optimal Algorithm for Convexity Measure Calculation,
ICIP05(I: 353-356).
IEEE DOI 0512
BibRef
Earlier:
Min-e Polygonal Approximation of Closed Curves,
ICIP05(II: 522-525).
IEEE DOI 0512
BibRef
Earlier:
Optimal multiresolution polygonal approximation,
ICIP04(V: 3037-3040).
IEEE DOI 0505
BibRef
Earlier:
Polygonal Approximation of Closed Contours,
SCIA03(778-785).
Springer DOI 0310
BibRef
And:
Fast algorithm for multiple-objects MIN-e problem,
ICIP03(I: 221-224).
IEEE DOI 0312
Polygonal approximation; Closed contour; Dynamic programming Approximation of polygonal curves. BibRef

Panagiotakis, C.[Costas], Tziritas, G.[George],
Any dimension polygonal approximation based on equal errors principle,
PRL(28), No. 5, 1 April 2007, pp. 582-591.
WWW Link. 0703
Polygonal approximation; Equal errors principle BibRef

Krolupper, F.[Filip], Flusser, J.[Jan],
Polygonal shape description for recognition of partially occluded objects,
PRL(28), No. 9, 1 July 2007, pp. 1002-1011.
WWW Link. 0704
Occluded object recognition; Polygonal approximation; Affine invariant BibRef

Bhowmick, P.[Partha], Bhattacharya, B.B.[Bhargab B.],
Fast Polygonal Approximation of Digital Curves Using Relaxed Straightness Properties,
PAMI(29), No. 9, September 2007, pp. 1590-1602.
IEEE DOI 0709
BibRef

Bhowmick, P.[Partha], Biswas, A.[Arindam], Bhattacharya, B.B.[Bhargab B.],
Thinning-free Polygonal Approximation of Thick Digital Curves Using Cellular Envelope,
ELCVIA(7), No. 2, 2008, pp. xx-yy.
WWW Link. 0903
BibRef
Earlier:
PACE: Polygonal Approximation of Thick Digital Curves Using Cellular Envelope,
ICCVGIP06(299-310).
Springer DOI 0612
BibRef

Bhowmick, P.[Partha], Klette, R.[Reinhard],
Generation of Random Digital Simple Curves with Artistic Emulation,
JMIV(48), No. 1, January 2014, pp. 53-71.
WWW Link. 1402
BibRef

Bhowmick, P.[Partha], Pal, O., Klette, R.,
A Linear-time Algorithm for the Generation of Random Digital Curves,
PSIVT10(168-173).
IEEE DOI 1011
BibRef

Masood, A.[Asif],
Optimized polygonal approximation by dominant point deletion,
PR(41), No. 1, January 2008, pp. 227-239.
WWW Link. 0710
Dominant points; Polygonal approximation; DP table; Associated error value; Optimal algorithm BibRef

Masood, A.[Asif], Haq, S.A.[Shaiq A.],
A novel approach to polygonal approximation of digital curves,
JVCIR(18), No. 3, June 2007, pp. 264-274.
WWW Link. 0711
Dominant points; Break points; Polygonal approximation; DP table; Near optimal algorithm BibRef

Masood, A.[Asif],
Dominant point detection by reverse polygonization of digital curves,
IVC(26), No. 5, May 2008, pp. 702-715.
WWW Link. 0803
Reverse polygonization; Dominant points; Break points; Polygonal approximation BibRef

Masood, A.[Asif], Sarfraz, M.[Muhammad],
Capturing outlines of 2D objects with Bezier cubic approximation,
IVC(27), No. 6, 4 May 2009, pp. 704-712.
Elsevier DOI 0904
Cubic Bezier curves; Corner points; Control point search; Subdivision BibRef

Chung, K.L.[Kuo-Liang], Liao, P.H.[Po-Hsuan], Chang, J.M.[Jia-Ming],
Novel efficient two-pass algorithm for closed polygonal approximation based on LISE and curvature constraint criteria,
JVCIR(19), No. 4, May 2008, pp. 219-230.
WWW Link. 0711
Algorithm; Closed curve; Closed polygonal approximation algorithm; Curvature; Local integral square error; Shortest path algorithm BibRef

Yun, B.J.[Byoung-Ju], Cho, J.S.[Jae-Soo], Ko, Y.H.[Yun-Ho],
A New Vertex Adjustment Method for Polygon-Based Shape Coding,
IEICE(E89-D), No. 10, October 2006, pp. 2693-2695.
DOI Link 0610
BibRef

Oh, K.M.[Kwang-Man], Choi, J.D.[Jeong-Dan], Lee, C.S.[Chan-Su], Park, C.J.[Chan-Jong], Lee, E.T.[Ee-Taek],
An Efficient and Simple Quad Edge Conversion of Polygonal Mainfold Objects,
IJIG(1), No. 2, April 2001, pp. 251-271. 0104
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Sarkar, B.[Biswajit], Singh, L.K.[Lokendra Kumar], Sarkar, D.[Debranjan],
A Genetic Algorithm-based Approach For Detection Of Significant Vertices For Polygonal Approximation Of Digital Curves,
IJIG(4), No. 2, April 2004, pp. 223-239. 0404
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Yhann, S.R.[Stephan R.],
Converting bitmap objects to polygons,
US_Patent6,639,593, Oct 28, 2003
WWW Link. BibRef 0310
And: US_Patent6,882,341, Apr 19, 2005
WWW Link. BibRef

Wang, B.[Bin], Shu, H.Z.[Hua-Zhong], Luo, L.M.[Li-Min],
A genetic algorithm with chromosome-repairing for min-# and min-epsilon polygonal approximation of digital curves,
JVCIR(20), No. 1, January 2009, pp. 45-56.
Elsevier DOI 0804
Genetic algorithms; Chromosome repairing; Digital curves; Polygonal approximations; Integral square error; Optimization; Split technique; Merge technique BibRef

Carmona-Poyato, A.[Angel], Madrid-Cuevas, F.J.[Francisco J.], Medina-Carnicer, R.[Rafael], Munoz-Salinas, R.,
Polygonal approximation of digital planar curves through break point suppression,
PR(43), No. 1, January 2010, pp. 14-25,.
Elsevier DOI 0909
Digital planar curves; Polygonal approximation; Dominant points BibRef

Madrid-Cuevas, F.J.[Francisco J.], Aguilera-Aguilera, E.J.[Eusebio J.], Carmona-Poyato, A.[Angel], Muñoz-Salinas, R., Medina-Carnicer, R.[Rafael], Fernández-García, N.L.[Nicolás Luis],
An efficient unsupervised method for obtaining polygonal approximations of closed digital planar curves,
JVCIR(39), No. 1, 2016, pp. 152-163.
Elsevier DOI 1608
Closed digital planar curve See also Dominant point detection: A new proposal. BibRef

Aguilera-Aguilera, E.J.[Eusebio J.], Carmona-Poyato, A.[Angel], Madrid-Cuevas, F.J.[Francisco J.], Medina-Carnicer, R.[Rafael],
Unsupervised Approximation of Digital Planar Curves,
IbPRIA15(200-207).
Springer DOI 1506
BibRef

Aguilera-Aguilera, E.J., Carmona-Poyato, A., Madrid-Cuevas, F.J., Muñoz-Salinas, R.,
Novel method to obtain the optimal polygonal approximation of digital planar curves based on Mixed Integer Programming,
JVCIR(30), No. 1, 2015, pp. 106-116.
Elsevier DOI 1507
Polygonal approximation BibRef

Madrid-Cuevas, F.J., Carmona-Poyato, A., Medina-Carnicer, R., Munoz-Salinas, R.,
Contour simplification using a multi-scale local phase analysis,
IVC(26), No. 11, 1 November 2008, pp. 1499-1506.
WWW Link. 0804
Contour simplification; Local phase; Multi-scale contour analysis BibRef

Carmona-Poyato, A., Medina-Carnicer, R., Madrid-Cuevas, F.J., Munoz-Salinas, R., Fernandez-Garcia, N.L.,
A new measurement for assessing polygonal approximation of curves,
PR(44), No. 1, January 2011, pp. 45-54.
Elsevier DOI 1003
Digital planar curves; Assessing polygonal approximation BibRef

Carmona-Poyato, A., Medina-Carnicer, R., Muñoz-Salinas, R., Yeguas-Bolivar, E.,
On stop conditions about methods to obtain polygonal approximations relied on break point suppression,
IVC(30), No. 8, August 2012, pp. 513-523.
Elsevier DOI 1209
Digital planar curves; Polygonal approximation; Dominant points BibRef

Fernández-García, N.L., del-Moral Martínez, L., Carmona-Poyato, A., Madrid-Cuevas, F.J., Medina-Carnicer, R.,
A new thresholding approach for automatic generation of polygonal approximations,
JVCIR(35), No. 1, 2016, pp. 155-168.
Elsevier DOI 1602
Digital planar curves BibRef

Song, Y.Q.[Yu-Qing],
Boundary fitting for 2D curve reconstruction,
VC(26), No. 3, March 2010, pp. xx-yy.
Springer DOI 1003
BibRef

Parvez, M.T.[Mohammad Tanvir], Mahmoud, S.A.[Sabri A.],
Polygonal approximation of digital planar curves through adaptive optimizations,
PRL(31), No. 13, 1 October 2010, pp. 1997-2005.
Elsevier DOI 1003
Dominant points; Polygonal approximation; Planar curves; Contour processing BibRef

Damiand, G.[Guillaume], Coeurjolly, D.[David],
A generic and parallel algorithm for 2D digital curve polygonal approximation,
RealTimeIP(6), No. 3, September 2011, pp. 145-157.
WWW Link. 1108
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Prasad, D.K.[Dilip K.], Leung, M.K.H.[Maylor K.H.], Quek, C.[Chai], Cho, S.Y.[Siu-Yeung],
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SCIA17(II: 3-14).
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Carmona-Poyato, A.[Angel], Aguilera-Aguilera, E.J.[Eusebio J.], Madrid-Cuevas, F.J.[Francisco J.], López-Fernandez, D.,
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Approximation methods BibRef

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3DUI13(135-136)
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computational geometry BibRef

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ICPR12(3586-3589).
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ICIP12(517-520).
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Lachaud, J.O.[Jacques-Olivier], Provençal, X.[Xavier],
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IWCIA11(208-221).
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Earlier: A2, A1:
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DGCI09(104-117).
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Di Ruberto, C.[Cecilia], Morgera, A.[Andrea],
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CIAP09(633-641).
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Sharma, O.[Ojaswa], Mioc, D.[Darka], Anton, F.[François],
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Juengling, R.[Ralf], Prasad, L.[Lakshman],
Parsing Silhouettes without Boundary Curvature,
CIAP07(665-670).
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Find overlapping set of ribbons. BibRef

Feschet, F.[Fabien],
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Nguyen, T.[Trung],
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CAIP05(17).
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Li, F.J.[Fa-Jie], Klette, R.[Reinhard],
Decomposing a Simple Polygon into Trapezoids,
CAIP07(726-733).
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Earlier:
Minimum-Length Polygons of First-Class Simple Cube-Curves,
CAIP05(321).
Springer DOI 0509
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Earlier:
Minimum-Length Polygon of a Simple Cube-Curve in 3D Space,
IWCIA04(502-511).
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See also Analysis of the rubberband algorithm. BibRef

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Kaess, M.[Michael], Dellaert, F.[Frank],
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HLK03(39-47).
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Model irregular curve sections. BibRef

Mikheev, A., Vincent, L., Faber, V.,
High-quality polygonal contour approximation based on relaxation,
ICDAR01(361-365).
IEEE DOI 0109
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Traver, V.J.[V. Javier], Recatalá, G.[Gabriel], Iñesta, J.M.[Jose Manuel],
Exploring the Performance of Genetic Algorithms as Polygonal Approximators,
ICPR00(Vol III: 766-769).
IEEE DOI
IEEE DOI 0009
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Recatalá, G., Iñesta, J.M.,
Polygonal Approximations through Genetic Algorithms,
SCIA99(Pattern Recognition). BibRef 9900

Schroder, K.[Karsten], Laurent, P.[Patrick],
Efficient Polygon Approximations for Shape Signatures,
ICIP99(II:811-814).
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Shmulevich, I.[Ilya], Yli-Harja, O.[Olli],
Coding of Shape Contours Using a Minimal Set of Control Points,
ICIP99(26PP3). Not in proceedings. BibRef 9900

Hosur, P.I., Ma, K.K.[Kai-Kuang],
Optimal Algorithm for Progressive Polygon Approximation of Discrete Plannar Curves,
ICIP99(I:16-20).
IEEE Abstract. BibRef 9900

Tung, L.H.[Lun Hsing], King, I.[Irwin],
A two-stage framework for polygon retrieval using Minimum Circular Error Bound,
CIAP97(I: 567-574).
Springer DOI 9709
BibRef

van der Heijden, G.W.A.M.,
Construction of a polygonal model using the Fisher-ratio criterion,
ICPR94(A:210-215).
IEEE DOI 9410
BibRef

Neagoe, V.,
Legendre descriptors for classification of polygonal closed curves,
ICPR92(II:717-720).
IEEE DOI 9208
BibRef

Neagoe, V.,
Seeking pattern recognition principles for intelligent detection of FSK signals,
ICPR92(II:721-724).
IEEE DOI 9208
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Wong, K.C., Kittler, J.V., Illingworth, J.,
Heuristically Guided Polygon Finding,
BMVC91(xx-yy).
PDF File. 9109
BibRef

Deguchi, K., Aoki, S.,
Regularized polygonal approximation for analysis and interpretation of planar contour figures,
ICPR90(I: 865-869).
IEEE DOI 9006
BibRef

Suzuki, K., Nishida, Y., and Hata, S.,
A Fast Polygonal Approximation Method for Real-Time Shape Recognition,
CVPR86(388-394). Generation of piecewise approximations, and using them. BibRef 8600

Chapter on Edge Detection and Analysis, Lines, Segments, Curves, Corners, Hough Transform continues in
General Polygonal Representations and Computations .


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