6.4.4.6 Ellipse Detection, Ellipse Fitting, Elliptical Shapes

Nakagawa, Y.[Yasuo], Rosenfeld, A.[Azriel],
A Note on Polygonal and Elliptical Approximation of Mechanical Parts,
PR(11), No. 2, 1979, pp. 133-142.
Elsevier DOI BibRef 7900

Schatzki, T.F., Grossman, A., Young, R.,
Recognition of Agricultural Objects by Shape,
PAMI(5), No. 6, November 1983, pp. 645-653. Look for elliptical objects -- luggage Xray images. BibRef 8311

Porrill, J.[John],
Fitting Ellipses and Predicting Confidence Envelopes Using a Bias Corrected Kalman Filter,
IVC(8), No. 1, February 1990, pp. 37-41.
Elsevier DOI BibRef 9002

Pollard, S., Porrill, J.[John],
Robust Recovery of 3D Ellipse Data,
BMVC92(xx-yy).
PDF File. 9209
BibRef

Van-Ban, L., Lee, D.T.,
Out-of-Roundness Problem Revisited,
PAMI(13), No. 3, March 1991, pp. 217-223.
IEEE DOI Voronoi. BibRef 9103

Chaudhuri, B.B., Samanta, G.P.,
Elliptic Fit of Objects in Two and Three Dimensions by Moment of Inertia Optimization,
PRL(12), 1991, pp. 1-7. BibRef 9100

Ellis, T.[Tim], Abbood, A.[Ahmed], Brillault, B.[Beatrice],
Ellipse Detection and Matching with Uncertainty,
IVC(10), No. 5, June 1992, pp. 271-276.
Elsevier DOI BibRef 9206
Earlier: BMVC91(xx-yy).
PDF File. 9109
BibRef

Rosin, P.L.[Paul L.],
Ellipse Fitting by Accumulating Five-Point Fits,
PRL(14), 1993, pp. 661-669. BibRef 9300

Rosin, P.L.[Paul L.],
Further Five-Point Fit Ellipse Fitting,
GMIP(61), No. 5, September 1999, pp. 245-259. BibRef 9909
Earlier: BMVC97(xx-yy).
HTML Version.
PDF File. BibRef

Rosin, P.L.[Paul L.],
A Note on the Least Squares Fitting of Ellipses,
PRL(14), 1993, pp. 799-808. BibRef 9300

Rosin, P.L.[Paul L.],
Analyzing Error of Fit Functions for Ellipses,
PRL(17), No. 14, December 30 1996, pp. 1461-1470. 9702
BibRef
Earlier: (British spelling, with "S") BMVC96(Poster Session 2). 9608

PDF File. Brunel University BibRef

Rosin, P.L.[Paul L.],
Assessing Error of Fit Functions for Ellipses,
GMIP(58), No. 5, September 1996, pp. 494-502. 9611
BibRef

Rosin, P.L.[Paul L.],
Ellipse Fitting Using Orthogonal Hyperbolae and Stirling's Oval,
GMIP(60), No. 3, May 1998, pp. p209-213. BibRef 9805

Rosin, P.L.[Paul L.],
Fitting Superellipses,
PAMI(22), No. 7, July 2000, pp. 726-732.
IEEE DOI 0008
BibRef

Yoo, J.H.[Jae Hung], Sethi, I.K.[Ishwar K.],
An Ellipse Detection Method from the Polar and Pole Definition of Conics,
PR(26), No. 2, February 1993, pp. 307-315.
Elsevier DOI BibRef 9302

Wu, W.Y.[Wen-Yen], Wang, M.J.J.[Mao-Jiun J.],
Elliptical Object Detection by Using Its Geometric Properties,
PR(26), No. 10, October 1993, pp. 1499-1509.
Elsevier DOI BibRef 9310

Aguado, A.S.[Alberto S.], Montiel, M.E.[M. Eugenia], Nixon, M.S.[Mark S.],
On Using Directional Information for Parameter Space Decomposition in Ellipse Detection,
PR(29), No. 3, March 1996, pp. 369-381.
Elsevier DOI BibRef 9603

Ho, C.T., Chen, L.H.,
A High-Speed Algorithm for Elliptic Object Detection,
IP(5), No. 3, March 1996, pp. 547-550.
IEEE DOI BibRef 9603

Cui, Y.T., Weng, J., Reynolds, H.,
Estimation of Ellipse Parameters Using Optimal Minimum-Variance Estimator,
PRL(17), No. 3, March 6 1996, pp. 309-316. BibRef 9603

Cabrera, J., Meer, P.,
Unbiased Estimation of Ellipses by Bootstrapping,
PAMI(18), No. 7, July 1996, pp. 752-756.
IEEE DOI 9608
BibRef

Safaee-Rad, R., Smith, K.C., Benhabib, B., Tchoukanov, I.,
Application of Moment and Fourier Descriptors to the Accurate Estimation of Elliptical-Shape Parameters,
PRL(13), 1992, pp. 497-508. BibRef 9200

Lee, R., Lu, P.C., Tsai, W.H.,
Moment Preserving Detection of Elliptical Shapes in Gray-Scale Images,
PRL(11), 1990, pp. 405-414. BibRef 9000

Sheu, H.T., Chen, H.Y., Hu, W.C.,
Consistent Symmetrical Axis Method for Robust Detection of Ellipses,
VISP(144), No. 6, December 1997, pp. 332-338. 9806
BibRef

Lei, Y.[Yiwu], Wong, K.C.[Kok Cheong],
Ellipse detection based on symmetry,
PRL(20), No. 1, January 1999, pp. 41-47. BibRef 9901

Daul, C., Graebling, P., Hirsch, E.,
From the Hough Transform to a New Approach for the Detection and Approximation of Elliptical Arcs,
CVIU(72), No. 3, December 1998, pp. 215-236.
DOI Link BibRef 9812

Fitzgibbon, A.W., Pilu, M., Fisher, R.B.,
Direct Least Square Fitting of Ellipses,
PAMI(21), No. 5, May 1999, pp. 476-480.
IEEE DOI BibRef 9905 Edinburgh BibRef
Earlier:
Direct Least Squares Fitting of Ellipses,
ICPR96(I: 253-257).
IEEE DOI 9608
BibRef
And: DAIResearch Paper No. 794, January 1996.
HTML Version. 9605
(Univ. of Edinburgh, UK) BibRef

Pilu, M.[Maurizio], Fitzgibbon, A.W., Fisher, R.B.,
Ellipse-Specific Direct Least-Square Fitting,
ICIP96(III: 599-602).
IEEE DOI BibRef 9600
And: DAINo. 806, May 1996. BibRef EdinburghDirectly solved by a generalized eigen-system. Includes Matlab code. Code, Ellipse Fitting. BibRef

Fitzgibbon, A.W., Fisher, R.B.,
A Buyer's Guide to Conic Fitting,
DAINo. 810, May 1996. BibRef 9605
And: BMVC95(xx).
PDF File. BibRef EdinburghEvaluation of several different methods for conic fitting.
See also Buyer's Guide to Euclidean Elliptical Cylindrical and Conical Surface Fitting, A. BibRef

Carvalho, P.C.P., Costa, N., Ribeiro, B., Dourado, A.,
On the Use of Neural Networks and Geometrical Criteria for Localisation of Highly Irregular Elliptical Shapes,
PAA(2), No. 4, 1999, pp. 321-342. 9911
BibRef

Žunic, J.[Joviša], Sladoje, N.[Nataša],
Efficiency of Characterizing Ellipses and Ellipsoids by Discrete Moments,
PAMI(22), No. 4, April 2000, pp. 407-414.
IEEE DOI 0006
BibRef
Earlier:
A characterization of digital disks by discrete moments,
CAIP97(582-589).
Springer DOI 9709
BibRef

Aktas, M.A.[Mehmet Ali], Žunic, J.[Joviša],
A Family of Shape Ellipticity Measures for Galaxy Classification,
SIIMS(6), No. 2, 2013, pp. 765-781.
DOI Link 1307
BibRef
Earlier:
Sensitivity/robustness Flexible Ellipticity Measures,
DAGM12(307-316).
Springer DOI 1209
BibRef
Earlier:
Measuring Shape Ellipticity,
CAIP11(I: 170-177).
Springer DOI 1109
BibRef

Sewisy, A.A.[Adel A.], Leberl, F.W.[Franz W.],
Detection ellipses by finding lines of symmetry in the images via an hough transform applied to straight lines,
IVC(19), No. 12, October 2001, pp. 857-866.
Elsevier DOI 0110
BibRef

Zhu, C.R.[Chang-Ren], Wang, R.S.[Run-Sheng],
A fast automatic extraction algorithm of elliptic object groups from remote sensing images,
PRL(25), No. 13, 1 October 2004, pp. 1471-1478.
Elsevier DOI 0410
BibRef

Zhang, S.C.[Si-Cheng], Liu, Z.Q.A.[Zhi-Qi-Ang],
A robust, real-time ellipse detector,
PR(38), No. 2, February 2005, pp. 273-287.
Elsevier DOI 0411
For comments:
See also Discussion on paper 'A Robust Real-Time Ellipse Detector' by Zhang and Liu. BibRef

Harker, M.J.[Matthew J.], O'Leary, P.L.[Paul L.], Zsombor-Murray, P.[Paul],
Direct type-specific conic fitting and eigenvalue bias correction,
IVC(26), No. 3, 3 March 2008, pp. 372-381.
Elsevier DOI 0801
Curve fitting; Conics; Constrained least squares BibRef

O'Leary, P.L.[Paul L.], Harker, M.J.[Matther J.],
An Algebraic Framework for Discrete Basis Functions in Computer Vision,
ICCVGIP08(150-157).
IEEE DOI 0812
BibRef

Harker, M.J.[Matthew J.], O'Leary, P.L.[Paul L.],
Regularized Reconstruction of a Surface from its Measured Gradient Field,
JMIV(51), No. 1, January 2015, pp. 46-70.
Springer DOI 1503
BibRef
Earlier:
Least squares surface reconstruction from gradients: Direct algebraic methods with spectral, Tikhonov, and constrained regularization,
CVPR11(2529-2536).
IEEE DOI 1106
BibRef
Earlier:
Least squares surface reconstruction from measured gradient fields,
CVPR08(1-7).
IEEE DOI 0806
BibRef

O'Leary, P.L., Harker, M.J., Zsombor-Murray, P.,
Direct and least square fitting of coupled geometric objects for metric vision,
VISP(152), No. 6, December 2005, pp. 687-694.
DOI Link 0512
BibRef
Earlier: A2, A1, A3:
Direct and Specific Fitting of Conics to Scattered Data,
BMVC04(xx-yy).
HTML Version. 0508
BibRef

Liu, Z.Y.[Zhi-Yong], Qiao, H.[Hong], Xu, L.[Lei],
Multisets mixture learning-based ellipse detection,
PR(39), No. 4, April 2006, pp. 731-735.
Elsevier DOI 0604
Ellipse detection; Multisets mixture learning; Hough transform BibRef

Kanatani, K.I.[Ken-Ichi],
Ellipse Fitting with Hyperaccuracy,
IEICE(E89-D), No. 10, October 2006, pp. 2653-2660.
DOI Link 0610
BibRef
Earlier: ECCV06(I: 484-495).
Springer DOI 0608
BibRef

Maybank, S.J.[Stephen J.],
Application of the Fisher-Rao Metric to Ellipse Detection,
IJCV(72), No. 3, May 2007, pp. 287-307.
Springer DOI
WWW Link. 0702

See also Application of the Fisher-Rao Metric to Structure Detection. BibRef

Qiao, Y.[Yu], Ong, S.H.,
Arc-based evaluation and detection of ellipses,
PR(40), No. 7, July 2007, pp. 1990-2003.
Elsevier DOI 0704
Ellipse verification; Ellipse detection; Elliptic arc; Model-based distance; Connectivity; Angular connectivity
See also Connectivity-based multiple-circle fitting. BibRef

Rosin, P.L.[Paul L.],
Evaluating Harker and O'Leary's distance approximation for ellipse fitting,
PRL(28), No. 13, 1 October 2007, pp. 1804-1807.
Elsevier DOI 0709
Distance approximation; Ellipse fitting; Evaluation
See also Direct and least square fitting of coupled geometric objects for metric vision. BibRef

Lu, W.[Wei], Tan, J.L.[Jing-Lu],
Detection of incomplete ellipse in images with strong noise by iterative randomized Hough transform (IRHT),
PR(41), No. 4, April 2008, pp. 1268-1279.
Elsevier DOI 0801
Curve detection; Randomized Hough transform; Hough transform; Image processing; Ellipse; Ultrasound; Fetal head BibRef

Mai, F., Hung, Y.S., Zhong, H., Sze, W.F.,
A Hierarchical Approach for Fast and Robust Ellipse Extraction,
PR(41), No. 8, August 2008, pp. 2512-2524.
Elsevier DOI 0805
BibRef
Earlier: ICIP07(V: 345-348).
IEEE DOI 0709
Ellipse extraction; Elliptic arcs; Arc segments; RANSAC BibRef

Hahn, K.S.[Kwang-Soo], Jung, S.C.[Sung-Cheol], Han, Y.J.[Young-Joon], Hahn, H.S.[Hern-Soo],
A new algorithm for ellipse detection by curve segments,
PRL(29), No. 13, 1 October 2008, pp. 1836-1841.
Elsevier DOI 0804
Ellipse fitting; Curve segments; Occluded object BibRef

Cao, C.G.[Chun-Guang], Newman, T.S.[Timothy S.], Germany, G.A.[Glynn A.],
New shape-based auroral oval segmentation driven by LLS-RHT,
PR(42), No. 5, May 2009, pp. 607-618.
Elsevier DOI 0902
Hough transform; Ellipse detection; Segmentation; Aurora; Satellite image BibRef

Kharma, N., Moghnieh, H., Yao, J., Guo, Y.P., Abu-Baker, A., Laganiere, J., Rouleau, G., Cheriet, M.,
Automatic segmentation of cells from microscopic imagery using ellipse detection,
IET-IPR(1), No. 1, March 2007, pp. 39-47.
DOI Link 0905
BibRef

Liu, Z.Y.[Zhi-Yong], Qiao, H.[Hong],
Multiple ellipses detection in noisy environments: A hierarchical approach,
PR(42), No. 11, November 2009, pp. 2421-2433.
Elsevier DOI 0907
Shape detection; Ellipse detection; Noisy environment BibRef

Bai, X.Z.[Xiang-Zhi], Sun, C.M.[Chang-Ming], Zhou, F.G.[Fu-Gen],
Splitting touching cells based on concave points and ellipse fitting,
PR(42), No. 11, November 2009, pp. 2434-2446.
Elsevier DOI 0907
BibRef
Earlier:
Touching Cells Splitting by Using Concave Points and Ellipse Fitting,
DICTA08(271-278).
IEEE DOI 0812
Touching cells splitting; Ellipse fitting; Concave point; Contour BibRef

Ouellet, J.N.[Jean-Nicolas], Hébert, P.[Patrick],
Precise ellipse estimation without contour point extraction,
MVA(21), No. 1, November 2009, pp. xx-yy.
Springer DOI 0911
BibRef

Xie, Y.D.[Ying-Di], Ohya, J.[Jun],
Elliptical Object Detection by a Modified RANSAC with Sampling Constraint from Boundary Curves' Clustering,
IEICE(E93-D), No. 3, March 2010, pp. 611-623.
WWW Link. 1003
BibRef

Xu, R.Y.D.[R.Y. Da], Kemp, M.,
Fitting Multiple Connected Ellipses to an Image Silhouette Hierarchically,
IP(19), No. 7, July 2010, pp. 1673-1682.
IEEE DOI 1007
BibRef

Fernandes, A.M.[Armando Manuel],
Discussion on paper 'A Robust Real-Time Ellipse Detector' by Zhang and Liu,
PR(44), No. 2, February 2011, pp. 488-489.
Elsevier DOI 1011
Hough transform; Ellipse detection
See also robust, real-time ellipse detector, A. BibRef

Chien, C.F.[Chung-Fang], Cheng, Y.C.[Yu-Che], Lin, T.T.[Ta-Te],
Robust ellipse detection based on hierarchical image pyramid and Hough transform,
JOSA-A(28), No. 4, April 2011, pp. 581-589.
WWW Link. 1104
BibRef

Chia, A.Y.S.[Alex Y.S.], Rahardja, S.[Susanto], Rajan, D.[Deepu], Leung, M.K.H.[Maylor K.H.],
A Split and Merge Based Ellipse Detector With Self-Correcting Capability,
IP(20), No. 7, July 2011, pp. 1991-2006.
IEEE DOI 1107
BibRef
Earlier: A1, A3, A4, A2:
A split and merge based ellipse detector,
ICIP08(3212-3215).
IEEE DOI 0810
BibRef

Yu, J.[Jieqi], Kulkarni, S.R.[Sanjeev R.], Poor, H.V.[H. Vincent],
Robust ellipse and spheroid fitting,
PRL(33), No. 5, 1 April 2012, pp. 492-499.
Elsevier DOI 1202
Curve fitting; Surface fitting; Parameter estimation BibRef

Prasad, D.K.[Dilip K.], Leung, M.K.H.[Maylor K.H.], Cho, S.Y.[Siu-Yeung],
Edge curvature and convexity based ellipse detection method,
PR(45), No. 9, September 2012, pp. 3204-3221.
Elsevier DOI 1206
Ellipse detection; Real images; Caltech 256 dataset; Hough transform; Overlapping ellipses; Occluded ellipses; Grouping; Saliency BibRef

Zhang, W.H.[Wen-Hui], Jiang, X.Y.[Xiao-Ya], Liu, Y.M.[Yin-Mingzi],
A method for recognizing overlapping elliptical bubbles in bubble image,
PRL(33), No. 12, 1 September 2012, pp. 1543-1548.
Elsevier DOI 1208
Direct imaging; Bubble recognition; Overlapping; Bubble size distribution BibRef

Prasad, D.K.[Dilip K.], Leung, M.K.H.[Maylor K.H.], Quek, C.[Chai],
ElliFit: An unconstrained, non-iterative, least squares based geometric Ellipse Fitting method,
PR(46), No. 5, May 2013, pp. 1449-1465.
Elsevier DOI 1302
BibRef
Earlier: A1, A3, A2:
A Precise Ellipse Fitting Method for Noisy Data,
ICIAR12(I: 253-260).
Springer DOI 1206
BibRef
Earlier: A1, A2, Only:
Error Analysis of Geometric Ellipse Detection Methods Due to Quantization,
PSIVT10(58-63).
IEEE DOI 1011
Ellipse fitting; Shape analysis; Unconstrained optimization; Least squares method BibRef

Liu, H.M.[Hong-Min], Wang, Z.H.[Zhi-Heng],
Geometric property based ellipse detection method,
JVCIR(24), No. 7, 2013, pp. 1075-1086.
Elsevier DOI 1309
Ellipse detection BibRef

Muñoz-Pérez, J., de Cózar-Macías, O.D., Blázquez-Parra, E.B., Ladrón de Guevara-López, I.,
Multicriteria Robust Fitting of Elliptical Primitives,
JMIV(49), No. 2, June 2014, pp. 492-509.
Springer DOI 1405

See also Robust Fitting of Circle Arcs. BibRef

Szpak, Z.L.[Zygmunt L.], Chojnacki, W.[Wojciech], Eriksson, A.[Anders], van den Hengel, A.J.[Anton J.],
Sampson distance based joint estimation of multiple homographies with uncalibrated cameras,
CVIU(125), No. 1, 2014, pp. 200-213.
Elsevier DOI 1406
Multiple homographies BibRef

Szpak, Z.L.[Zygmunt L.], Chojnacki, W.[Wojciech], van den Hengel, A.[Anton],
Guaranteed Ellipse Fitting with a Confidence Region and an Uncertainty Measure for Centre, Axes, and Orientation,
JMIV(52), No. 2, June 2015, pp. 173-199.
Springer DOI 1505
BibRef
Earlier:
A Comparison of Ellipse Fitting Methods and Implications for Multiple-View Geometry Estimation,
DICTA12(1-8).
IEEE DOI 1303
BibRef
And:
Guaranteed Ellipse Fitting with the Sampson Distance,
ECCV12(V: 87-100).
Springer DOI 1210
BibRef

Tabor, J., Spurek, P.,
Cross-entropy clustering,
PR(47), No. 9, 2014, pp. 3046-3059.
Elsevier DOI 1406
Clustering BibRef

Tabor, J.[Jacek], Misztal, K.[Krzysztof],
Detection of Elliptical Shapes via Cross-Entropy Clustering,
IbPRIA13(656-663).
Springer DOI 1307
BibRef

Fornaciari, M.[Michele], Prati, A.[Andrea], Cucchiara, R.[Rita],
A fast and effective ellipse detector for embedded vision applications,
PR(47), No. 11, 2014, pp. 3693-3708.
Elsevier DOI 1407
Real time ellipse detection BibRef

Prasad, D.K.[Dilip K.], Leung, M.K.H.[Maylor K. H.], Quek, C., Brown, M.S.,
DEB: Definite Error Bounded Tangent Estimator for Digital Curves,
IP(23), No. 10, October 2014, pp. 4297-4310.
IEEE DOI 1410
computational complexity BibRef

Prasad, D.K.[Dilip K.], Gupta, R.K.[Raj Kumar], Leung, M.K.H.[Maylor K. H.],
An Error Bounded Tangent Estimator for Digitized Elliptic Curves,
DGCI11(272-283).
Springer DOI 1104
BibRef

Prasad, D.K.[Dilip K.], Leung, M.K.H.[Maylor K. H.],
An ellipse detection method for real images,
IVCNZ10(1-8).
IEEE DOI 1203
BibRef
And:
An error bounded tangent estimator for digital curves,
IVCNZ10(1-7).
IEEE DOI 1203
BibRef

Liu, C.[Chang], Hu, W.[Weiduo],
Ellipse fitting for imaged cross sections of a surface of revolution,
PR(48), No. 4, 2015, pp. 1440-1454.
Elsevier DOI 1502
Surface of revolution BibRef

Collett, M.J., Watkins, L.R.,
Ellipse fitting for interferometry. Part 3: dynamic method,
JOSA-A(32), No. 3, March 2015, pp. 491-496.
DOI Link 1503
Interferometry; Phase measurement; Polarimetry BibRef

Collett, M.J.,
A Bayesian method for type-specific quadric fitting,
ICVNZ16(1-5)
IEEE DOI 1701
Bayes methods BibRef

Company, P.[Pedro], Plumed, R.[Raquel], Varley, P.A.C.[Peter A.C.],
A fast approach for perceptually-based fitting strokes into elliptical arcs,
VC(31), No. 6-8, June 2015, pp. 775-785.
WWW Link. 1506
BibRef

Liang, J.L.[Jun-Li], Wang, Y.L.[Yun-Long], Zeng, X.J.[Xian-Ju],
Robust Ellipse Fitting via Half-Quadratic and Semidefinite Relaxation Optimization,
IP(24), No. 11, November 2015, pp. 4276-4286.
IEEE DOI 1509
computer vision BibRef

Waibel, P.[Patrick], Matthes, J.[Jörg], Gröll, L.[Lutz],
Constrained Ellipse Fitting with Center on a Line,
JMIV(53), No. 3, November 2015, pp. 364-382.
WWW Link. 1511
BibRef

Zafari, S.[Sahar], Eerola, T.[Tuomas], Sampo, J.[Jouni], Kälviäinen, H.[Heikki], Haario, H.[Heikki],
Segmentation of Overlapping Elliptical Objects in Silhouette Images,
IP(24), No. 12, December 2015, pp. 5942-5952.
IEEE DOI 1512
computer vision BibRef

Zafari, S.[Sahar], Eerola, T.[Tuomas], Sampo, J.[Jouni], Kälviäinen, H.[Heikki], Haario, H.[Heikki],
Segmentation of Partially Overlapping Convex Objects Using Branch and Bound Algorithm,
MCBMIIA16(III: 76-90).
Springer DOI 1704
BibRef
Earlier:
Segmentation of Partially Overlapping Nanoparticles Using Concave Points,
ISVC15(I: 187-197).
Springer DOI 1601
BibRef

Lu, T.T.[Ting-Ting], Hu, W.[Weiduo], Liu, C.[Chang], Yang, D.[Daguang],
Effective ellipse detector with polygonal curve and likelihood ratio test,
IET-CV(9), No. 6, 2015, pp. 914-925.
DOI Link 1512
computational geometry BibRef

Panagiotakis, C.[Costas], Argyros, A.[Antonis],
Parameter-free modelling of 2D shapes with ellipses,
PR(53), No. 1, 2016, pp. 259-275.
Elsevier DOI 1602
Ellipses fitting BibRef

Kanatani, K.[Kenichi], Sugaya, Y.[Yasuyuki], Kanazawa, Y.S.[Yasu-Shi],
Ellipse Fitting for Computer Vision: Implementation and Applications,
Morgan & ClaypoolPublishers, San Rafael, CA, U.S., April, 2016. ISBN: 9781627054584.
DOI Link 1605
Code, Ellipse Fitting.
WWW Link. Algebraic Fitting, Geometric Fitting, Robust Fitting, Ellipse-based 3-D Computation, Experiments and Examples, Extension and Generalization, Accuracy of Algebraic Fitting, Maximum Likelihood and Geometric Fitting, Theoretical Accuracy Limit BibRef

Arellano, C.[Claudia], Dahyot, R.[Rozenn],
Robust ellipse detection with Gaussian mixture models,
PR(58), No. 1, 2016, pp. 12-26.
Elsevier DOI 1606
Ellipse detection BibRef

Grbic, R.[Ratko], Grahovac, D.[Danijel], Scitovski, R.[Rudolf],
A method for solving the multiple ellipses detection problem,
PR(60), No. 1, 2016, pp. 824-834.
Elsevier DOI 1609
Multiple ellipses detection BibRef

Patraucean, V.[Viorica], Gurdjos, P.[Pierre], von Gioi, R.G.[Rafael Grompone],
Joint A Contrario Ellipse and Line Detection,
PAMI(39), No. 4, April 2017, pp. 788-802.
IEEE DOI 1703
BibRef
Earlier:
A Parameterless Line Segment and Elliptical Arc Detector with Enhanced Ellipse Fitting,
ECCV12(II: 572-585).
Springer DOI 1210
Adaptation models BibRef

Chen, S.L.[Song-Lin], Xia, R.[Renbo], Zhao, J.[Jibin], Chen, Y.L.[Yue-Ling], Hu, M.B.[Mao-Bang],
A hybrid method for ellipse detection in industrial images,
PR(68), No. 1, 2017, pp. 82-98.
Elsevier DOI 1704
Ellipse detection BibRef

Žunic, J.[Joviša], Kakarala, R.[Ramakrishna], Aktas, M.A.[Mehmet Ali],
Notes on shape based tools for treating the objects ellipticity issues,
PR(69), No. 1, 2017, pp. 141-149.
Elsevier DOI 1706
Shape BibRef

Jia, Q., Fan, X., Luo, Z., Song, L., Qiu, T.,
A Fast Ellipse Detector Using Projective Invariant Pruning,
IP(26), No. 8, August 2017, pp. 3665-3679.
IEEE DOI 1707
computational geometry, matrix algebra, object detection, collinear points, elliptical object detection, fast ellipse detector, fitting ellipse equations, industrial diagnosis, matrix determinant, planar curve intrinsic geometry, projective invariant pruning, robot navigation, Detectors, Fans, Geometry, Image edge detection, Mathematical model, Real-time systems, Transmission line matrix methods, Ellipse detection, projective invariant, real-time BibRef

de Langlard, M.[Mathieu], Al-Saddik, H.[Hania], Charton, S.[Sophie], Debayle, J.[Johan], Lamadie, F.[Fabrice],
An efficiency improved recognition algorithm for highly overlapping ellipses: Application to dense bubbly flows,
PRL(101), No. 1, 2018, pp. 88-95.
Elsevier DOI 1801
Bubble images BibRef

Sawala, S.[Suyog], Ragothaman, S.[Srikanth], Narasimhan, S.[Sridharakumar], Basavaraj, M.G.[Madivala G],
A versatile major axis voted method for efficient ellipse detection,
PRL(104), 2018, pp. 45-52.
Elsevier DOI 1804
Ellipse detection, Convex shapes, Sickle cells, Major axis voting, Colloidal ellipsoids, Food grain quality BibRef

Dong, H.X.[Hui-Xu], Prasad, D.K.[Dilip K.], Chen, I.M.[I-Ming],
Accurate detection of ellipses with false detection control at video rates using a gradient analysis,
PR(81), 2018, pp. 112-130.
Elsevier DOI 1806
Ellipse detection, Geometric approach, Gradient analysis, Centre estimation, Arc classification BibRef

Alvarez, L.[Luis], González, E.[Esther], Cuenca, C.[Carmelo], Trujillo, A.[Agustín], Tahoces, P.G.[Pablo G.], Carreira, J.M.[José M.],
Ellipse Motion Estimation Using Parametric Snakes,
JMIV(60), No. 7, September 2018, pp. 1095-1110.
Springer DOI 1808
BibRef

Martinikorena, I.[Ion], Cabeza, R.[Rafael], Villanueva, A.[Arantxa], Urtasun, I.[Iñaki], Larumbe, A.[Andoni],
Fast and robust ellipse detection algorithm for head-mounted eye tracking systems,
MVA(29), No. 5, July 2018, pp. 845-860.
Springer DOI 1808
BibRef

Chevallier, E.[Emmanuel], Farup, I.[Ivar],
Interpolation of the MacAdam Ellipses,
SIIMS(11), No. 3, 2018, pp. 1979-2000.
DOI Link 1810
BibRef

Zhang, H.[Huan], Meng, C.[Cai], Bai, X.Z.[Xiang-Zhi], Li, Z.X.[Zhao-Xi],
Rock-ring detection accuracy improvement in infrared satellite image with sub-pixel edge detection,
IET-IPR(13), No. 5, 18 April 2019, pp. 729-735.
DOI Link 1904
Ellipse fitting. BibRef

Lu, C., Xia, S., Shao, M., Fu, Y.,
Arc-Support Line Segments Revisited: An Efficient High-Quality Ellipse Detection,
IP(29), No. 1, 2020, pp. 768-781.
IEEE DOI 1910
Image edge detection, Image segmentation, Detectors, Transforms, Automation, Merging, Detection algorithms, Ellipse detection, ellipse fitting
See also Circle Detection by Arc-Support Line Segments. BibRef

Liu, Y.[Yang], Xie, Z.[Zongwu], Liu, H.[Hong],
Fast and robust ellipse detector based on edge following method,
IET-IPR(13), No. 13, November 2019, pp. 2409-2419.
DOI Link 1911
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Chojnacki, W.[Wojciech], Szpak, Z.L.[Zygmunt L.],
Determining ellipses from low-resolution images with a comprehensive image formation model,
JOSA-A(36), No. 2, February 2019, pp. 212-233.
DOI Link 1912
Camera calibration, Digital image processing, Digital imaging, Edge detection, Image processing, Image resolution BibRef

Panagiotakis, C.[Costas], Argyros, A.[Antonis],
Region-based Fitting of Overlapping Ellipses and its application to cells segmentation,
IVC(93), 2020, pp. 103810.
Elsevier DOI 2001
Cell segmentation, 2D shape modeling, Overlapping objects, Ellipse fitting, AIC BibRef

Meng, C., Li, Z., Bai, X., Zhou, F.,
Arc Adjacency Matrix-Based Fast Ellipse Detection,
IP(29), 2020, pp. 4406-4420.
IEEE DOI 2002
Ellipse detection, arc adjacency matrix, ellipse validation BibRef

Thurnhofer-Hemsi, K.[Karl], López-Rubio, E.[Ezequiel], Blázquez-Parra, E.B.[Elidia Beatriz], Ladrón-de-Guevara-Muñoz, M.C.[M. Carmen], de-Cózar-Macias, Ó.D.[Óscar David],
Ellipse fitting by spatial averaging of random ensembles,
PR(106), 2020, pp. 107406.
Elsevier DOI 2006
Ellipse fitting, Geometric curve fitting, Ensemble methods, Spatial median, Robust estimation BibRef

Wang, Z.P.[Ze-Peng], Chen, D.R.[De-Rong], Gong, J.L.[Jiu-Lu], Wang, C.Y.[Chang-Yuan],
Fast high-precision ellipse detection method,
PR(111), 2021, pp. 107741.
Elsevier DOI 2012
Ellipse detection, Gaussian filter, Corner detection, Arc matching, Saliency score BibRef

Zamani, H., Amini, A.,
Ellipse Recovery From Blurred Binary Images,
IP(30), 2021, pp. 2697-2707.
IEEE DOI 2102
Shape, Mathematical model, Imaging, Kernel, Robustness, Technological innovation, Algebraic curves, image moments BibRef

Dong, W., Roy, P., Peng, C., Isler, V.,
Ellipse R-CNN: Learning to Infer Elliptical Object From Clustering and Occlusion,
IP(30), 2021, pp. 2193-2206.
IEEE DOI 2102
convolutional neural nets, feature extraction, learning (artificial intelligence), object detection, convolutional neural networks BibRef

Hu, C.L.[Chen-Long], Wang, G., Ho, K.C., Liang, J.,
Robust Ellipse Fitting With Laplacian Kernel Based Maximum Correntropy Criterion,
IP(30), 2021, pp. 3127-3141.
IEEE DOI 2103
Optimization, Kernel, Image edge detection, Laplace equations, Convergence, Mathematical model, Transforms, Ellipse fitting, second-order cone program BibRef

Wang, W.[Wei], Wang, G.[Gang], Hu, C.L.[Chen-Long], Ho, K.C.,
Robust Ellipse Fitting Based on Maximum Correntropy Criterion With Variable Center,
IP(32), 2023, pp. 2520-2535.
IEEE DOI 2305
Fitting, Kernel, Bandwidth, Optimization, Estimation, Computational efficiency, Robustness, Ellipse fitting, data association BibRef

Zhao, M., Jia, X., Fan, L., Liang, Y., Yan, D.M.,
Robust Ellipse Fitting Using Hierarchical Gaussian Mixture Models,
IP(30), 2021, pp. 3828-3843.
IEEE DOI 2104
Kernel, Robustness, Optimization, Gaussian mixture model, Bandwidth, , Transforms, Ellipse fitting, GMM, HGMM, RANSAC, outlier, noise, robust statistic BibRef

Maalek, R.[Reza], Lichti, D.D.[Derek D.],
New confocal hyperbola-based ellipse fitting with applications to estimating parameters of mechanical pipes from point clouds,
PR(116), 2021, pp. 107948.
Elsevier DOI 2106
ellipse fitting, cylinder parameter estimation, point to ellipse distance approximation, construction quality assurance BibRef

Maalek, R.[Reza], Lichti, D.D.[Derek D.],
Robust detection of non-overlapping ellipses from points with applications to circular target extraction in images and cylinder detection in point clouds,
PandRS(176), 2021, pp. 83-108.
Elsevier DOI 2106
Non-overlapping ellipse detection, Cylinder extraction, Point cloud pipe detection, Circular target extraction, Smartphone camera calibration BibRef

Cledat, E., Rufener, M., Cucci, D.A.,
Compensating over- and underexposure in optical target pose determination,
PR(116), 2021, pp. 107930.
Elsevier DOI 2106
Optical target, Target orientation, Image processing algorithm, Geometry, Ellipse fitting, Overexposure, Resection BibRef

Wang, T.[Tao], Shi, Z.[Zhaoyao], Yu, B.[Bo],
A parameterized geometric fitting method for ellipse,
PR(116), 2021, pp. 107934.
Elsevier DOI 2106
Ellipse fitting, Least squares, Levenberg-Marquardt iterations, Profile analysis BibRef

He, X.[Xu], Ma, S.P.[Shi-Ping], He, L.Y.[Lin-Yuan], Ru, L.[Le], Wang, C.[Chen],
Learning Rotated Inscribed Ellipse for Oriented Object Detection in Remote Sensing Images,
RS(13), No. 18, 2021, pp. xx-yy.
DOI Link 2109
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Keskin, K.[Kübra], Yilmaz, U.[Ugur], Çukur, T.[Tolga],
Constrained Ellipse Fitting for Efficient Parameter Mapping With Phase-Cycled bSSFP MRI,
MedImg(41), No. 1, January 2022, pp. 14-26.
IEEE DOI 2201
Estimation, Magnetic resonance imaging, Sensitivity, Radio frequency, Nonhomogeneous media, Imaging, Phase measurement, dictionary BibRef

Zins, M.[Matthieu], Simon, G.[Gilles], Berger, M.O.[Marie-Odile],
Object-Based Visual Camera Pose Estimation From Ellipsoidal Model and 3D-Aware Ellipse Prediction,
IJCV(130), No. 1, January 2022, pp. 1107-1126.
Springer DOI 2204
BibRef
Earlier:
3D-Aware Ellipse Prediction for Object-Based Camera Pose Estimation,
3DV20(281-290)
IEEE DOI 2102
Cameras, Ellipsoids, Training, Solid modeling, Neural network BibRef

Fitzgerald, J.B.[Joshua Brian],
Elliptic Curve Pairings,
Computer(55), No. 4, April 2022, pp. 74-77.
IEEE DOI 2205
BibRef

Jia, Q.[Qi], Fan, X.[Xin], Yang, Y.[Yang], Liu, X.[Xuxu], Luo, Z.X.[Zhong-Xuan], Wang, Q.[Qian], Zhou, X.C.[Xin-Chen], Latecki, L.J.[Longin Jan],
Characteristic Mapping for Ellipse Detection Acceleration,
IP(32), 2023, pp. 2568-2579.
IEEE DOI 2305
Fitting, Neural networks, Costs, Fans, Real-time systems, Image segmentation, Fast ellipse detection, order reduction, arc segment pruning BibRef

Zhao, M.Y.[Ming-Yang], Jia, X.H.[Xiao-Hong], Ma, L.[Lei], Hu, L.M.[Li-Ming], Yan, D.M.[Dong-Ming],
Coherent chord computation and cross ratio for accurate ellipse detection,
PR(146), 2024, pp. 109983.
Elsevier DOI 2311
Ellipse detection, Chord computation, Cross ratio, Hough transform BibRef

Wang, Z.R.[Zhuo-Ran], Yi, J.J.[Jian-Jun], Ding, H.K.[Hong-Kai], Zeng, F.[Fei], Mu, J.Z.[Jin-Zhen], Wu, B.[Bin],
Nonlinear circumference-based robust ellipse detection in low-SNR images,
IVC(144), 2024, pp. 104968.
Elsevier DOI 2404
Ellipse detection, Nonlinear circumference, Hough transform, Low-SNR images BibRef

Felber, L.N.[Luzia N.], Harbrecht, H.[Helmut], Schmidlin, M.[Marc],
Identification of Sparsely Representable Diffusion Parameters in Elliptic Problems,
SIIMS(17), No. 1, 2024, pp. 61-90.
DOI Link 2404
BibRef

Chen, X.D.[Xiao-Diao], Qian, C.[Cheng], Zhao, M.Y.[Ming-Yang], Yong, J.H.[Jun-Hai], Yan, D.M.[Dong-Ming],
Improving ellipse fitting via multi-scale smoothing and key-point searching,
PR(151), 2024, pp. 110432.
Elsevier DOI Code:
WWW Link. 2404
Ellipse fitting, Least-squares, RANSAC, Multi-scale smoothing, Key-point searching BibRef

Wang, Z.K.[Zi-Kai], Zhong, B.J.[Bao-Jiang], Ma, K.K.[Kai-Kuang],
Anisotropic Scale-Invariant Ellipse Detection,
IP(33), 2024, pp. 3161-3173.
IEEE DOI 2405
Image edge detection, Detectors, Anisotropic magnetoresistance, Fitting, Extraterrestrial measurements, Anisotropic, homologous similarity BibRef

Zhou, H.X.[Hong-Xia], Han, L.X.[Li-Xin], Zhu, S.J.[Shao-Jun], Yan, H.[Hong],
A high-precision ellipse detection method based on quadrant representation and top-down fitting,
PR(154), 2024, pp. 110603.
Elsevier DOI 2406
Ellipse detection, Elliptical arcs, Block sequences, Quadrant representation, Top-down ellipse fitting BibRef

Qian, Z.D.[Zheng-Da], Tang, F.[Fulin], Liu, B.X.[Bing-Xi], Fu, Y.J.[Yu-Jie], Wu, S.[Shaohuan], Jia, X.H.[Xiao-Hong], Wu, Y.H.[Yi-Hong],
Automatic Detection and Fitting of Ellipse Markers Using EllipseNet,
ICPR22(223-229)
IEEE DOI 2212
Training, Costs, Image edge detection, Pose estimation, Neural networks, Feature extraction, Cameras BibRef

Goumeidane, A.B.[Aicha-Baya], Ziou, D.[Djemel], Nacereddine, N.[Nafaa],
Scale Space Radon Transform for Non Overlapping Thick Ellipses Detection,
IPTA22(1-6)
IEEE DOI 2206
Instruction sets, Image processing, Focusing, Transforms, Noise measurement, SSRT, Ellipse Detection, Curve enhancement, Multiscale BibRef

Xie, T., Zhang, R., Liang, J., Jia, Q., Fan, X., Luo, Z.,
An Efficient Ellipse Detector Based On Region Detection And Arc Pruning,
ICIP20(2890-2894)
IEEE DOI 2011
Detectors, Transforms, Interpolation, Lips, Detection algorithms, Robustness, Fitting BibRef

El Baz, M.[Manal], Zaki, T.[Taher], Douzi, H.[Hassan],
Detection of Elliptical Traffic Signs,
ICISP20(254-261).
Springer DOI 2009
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Jabbar, A.[Abdul], Mendes, A.[Alexandre], Chalup, S.[Stephan],
Comparing Ellipse Detection and Deep Neural Networks for the Identification of Drinking Glasses in Images,
CVS19(319-329).
Springer DOI 1912
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Xu, Z., Xu, S., Qian, C., Klette, R.[Reinhard],
Accurate Ellipse Extraction in Low-Quality Images,
MVA19(1-5)
DOI Link 1911
feature extraction, image resolution, statistical analysis, accurate ellipse extraction, low-quality images, elliptic region, Feature extraction BibRef

Ou, J.R.[Jia-Rong], Yu, J.G.[Jin-Gang], Gao, C.X.[Chang-Xin], Xiao, L.C.[Li-Chao], Liu, Z.F.[Zhi-Feng],
Robust and Efficient Ellipse Fitting Using Tangent Chord Distance,
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Dual Approaches for Elliptic Hough Transform: Eccentricity/Orientation vs Center Based,
DGCI19(367-379).
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Jin, R., Owais, H.M., Song, T., Lin, D.,
Towards Fast and Accurate Ellipse and Semi-Ellipse Detection,
ICIP18(743-747)
IEEE DOI 1809
Reliability, Image edge detection, Integrated circuits, Parameter estimation, Detection algorithms, Standards, semiellipse BibRef

Panagiotakis, C., Argyros, A.A.,
Cell Segmentation Via Region-Based Ellipse Fitting,
ICIP18(2426-2430)
IEEE DOI 1809
Image segmentation, Shape, Microscopy, Computational modeling, Brightness, Fitting, Deformable models, Nuclei Segmentation, Bradleys method BibRef

Dong, H., Chen, I.M., Prasad, D.K.,
Robust ellipse detection via arc segmentation and classification,
ICIP17(66-70)
IEEE DOI 1803
Approximation algorithms, Computational efficiency, Fitting, Image edge detection, Image segmentation, Measurement, Turning, Ellipse detection BibRef

Zhang, X., Xiang, J., Xiong, S.,
Shape retrieval using multiscale ellipse descriptor,
ICIP17(1042-1046)
IEEE DOI 1803
Data mining, Feature extraction, Robustness, Shape, Shape measurement, Transform coding, Transforms, shape retrieval BibRef

de Langlard, M., Al Saddik, H., Lamadie, F., Charton, S., Debayle, J.,
A multiscale method for shape recognition of overlapping elliptical particles,
ICPR16(692-697)
IEEE DOI 1705
Clustering algorithms, Image color analysis, Image recognition, Image segmentation, Joining processes, Nickel, Shape BibRef

Cakir, H.I.[Halil Ibrahim], Topal, C.[Cihan], Akinlar, C.[Cuneyt],
An Occlusion-Resistant Ellipse Detection Method by Joining Coelliptic Arcs,
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SSSPR16(412-423).
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Feature Extraction as Ellipse of Wild-Life Images,
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Ellipse-specific fitting by relaxing the 3L constraints with semidefinite programming,
ICIP15(710-714)
IEEE DOI 1512
3L algorithm BibRef

Shao, M.[Mang], Ijiri, Y.[Yoshihisa], Hattori, K.[Kosuke],
Grouped outlier removal for robust ellipse fitting,
MVA15(138-141)
IEEE DOI 1507
Algorithm design and analysis BibRef

Kwon, B.K.[Bae-Keun], Kang, D.J.[Dong-Joong],
Ellipse detection method based on the advanced three point algorithm,
FCV15(1-5)
IEEE DOI 1506
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Cicconet, M., Gunsalus, K., Geiger, D., Werman, M.,
Ellipses from triangles,
ICIP14(3626-3630)
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Matsuoka, R.,
Oscillation of the Measurement Accuracy of the Center Location of an Ellipse on a Digital Image,
PCV14(211-218).
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Connectivity-based error evaluation for ellipse fitting,
MVA15(118-121)
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High Accuracy Ellipse-Specific Fitting,
PSIVT13(314-324).
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ICIP13(815-819)
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A Mobile Vision System for Fast and Accurate Ellipse Detection,
IWMV13(52-53)
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Hough transform;ellipse detection;mobile vision BibRef

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A method for bicycle detection using ellipse approximation,
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Cooke, T.[Tristrom],
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Martelli, S.[Samuele], Marzotto, R.[Roberto], Colombari, A.[Andrea], Murino, V.[Vittorio],
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Huang, F.S.[Feng-Shan], Qian, H.F.[Hui-Fen],
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BMVC90(xx-yy).
PDF File. 9009
BibRef

Wang, R., Hanson, A.R., Riseman, E.M.,
Fast Extraction of Ellipses,
ICPR88(I: 508-510).
IEEE DOI BibRef 8800

Cyganski, D., Orr, J.A.,
Parameterization of Planar Contours for Elliptic Decomposition and Determination of Affine Transforms,
CAIA84(161-166). BibRef 8400

Tsukune, H., Goto, K.,
Extraction Elliptical Figures for an Edge Vector Field,
CVPR83(138-141). BibRef 8300

Agin, G.J.,
Fitting Ellipses and General Second-Order Curves,
CMU-RI-TR-81-5, 1981. BibRef 8100

Chapter on Edge Detection and Analysis, Lines, Segments, Curves, Corners, Hough Transform continues in
Curvature, Corners, Dominant Points, Salient Points, Junctions .