7.4 Symmetries in Two Dimensions

Chapter Contents (Back)
Symmetry, 2-D. See also General Three-Dimensional Symmetries.

Davis, L.S.,
Understanding Shape, II: Symmetry,
SMC(7), 1977, pp. 204-212. See also Understanding Shape: Angles and Sides. BibRef 7700

Wechsler, H.,
A Structural Approach to Shape Analysis Using Mirroring Axes,
CGIP(9), No. 3, March 1979, pp. 246-266.
WWW Version. BibRef 7903

Friedberg, S.A.,
Finding Axis of Skewed Symmetry,
CVGIP(34), No. 2, May 1986, pp. 138-155.
WWW Version. BibRef 8605
Earlier: With: Brown, C.M., ICPR84(322-325). BibRef

Marola, G.,
Using Symmetry for Detecting and Locating Objects in a Picture,
CVGIP(46), No. 2, May 1989, pp. 179-195.
WWW Version. BibRef 8905

Marola, G.,
On the Detection of the Axes of Symmetry of Symmetric and Almost Symmetric Planar Images,
PAMI(11), No. 1, January 1989, pp. 104-108.
IEEE Abstract. IEEE Top Reference.
WWW Version. Find the axis of symmetry. BibRef 8901

Marola, G.[Giovanni],
A Technique for Finding the Symmetry Axes of Implicit Polynomial Curves under Perspective Projection,
PAMI(27), No. 3, March 2005, pp. 465-470.
IEEE Abstract. IEEE Top Reference. 0501
BibRef
Earlier:
Finding the Symmetry Axis of a Perspectively Projected Plane Curve,
CAIP03(9-16).
WWW Version. 0311
Deal with the distortions from perspective projections. BibRef

Brady, M.[Michael], and Asada, H.[Haruo],
Smoothed Local Symmetries and Their Implementation,
IJRR(3), No. 3, Fall 1984, pp. 36-61. BibRef 8400
Earlier: MIT AI Memo757, February, 1984.
WWW Version. Generation of something similar to the MAT from the boundaries. The computation uses the Gaussian smoothed boundaries. BibRef

Brady, M.[Michael],
Smoothed Local Symmetries and Local Frame Propagation,
PRIP82(629-633). BibRef 8200

Mukherjee, D.P., and Brady, M.,
Symmetry Analysis Through Wave Propagation,
PRAI(10), 1996, pp. 291-306. BibRef 9600

Krishnaswamy, R., Kim, C.E.,
Digital Parallelism, Perpendicularity, and Rectangles,
PAMI(9), No. 2, March 1987, pp. 316-321. BibRef 8703

Leyton, M.,
Symmetry-Curvature Duality,
CVGIP(38), No. 3, June 1987, pp. 327-341.
WWW Version. For later 3D version: See also 3D Symmetry-Curvature Duality Theorems. BibRef 8706

Hel-Or, Y., Peleg, S., and Avnir, D.,
Characterization of Right Handed and Left Handed Shapes,
CVGIP(53), No. 3, May 1991, pp. 297-302.
WWW Version. BibRef 9105

Bigün, J.,
Frequency and Orientation Sensitive Texture Measures Using Linear Symmetry,
SP(29), October 1992, pp. 1-16. BibRef 9210

Hansen, O., Bigün, J.,
Local Symmetry Modeling in Multi-Dimensional Images,
PRL(13), 1992, pp. 253-262. BibRef 9200

Bigün, J.[Josef],
Local Symmetry Features in Image Processing,
Ph.D.Thesis, Linkoping University, 1988.
HTML Version. BibRef 8800

Bigün, J.,
Recognition of Local Symmetries in Gray Value Images by Harmonic Functions,
ICPR88(I: 345-347).
IEEE DOI Link
IEEE Top Reference. BibRef 8800

Jiang, X.Y., Bunke, H.,
A Simple and Efficient Algorithm for Determining the Symmetries of Polyhedra,
GMIP(54), No. 1, January 1992, pp. 91-96. BibRef 9201

Jiang, X.Y., Yu, K., and Bunke, H.,
Detection of Rotational and Involutional Symmetries and Congruity of Polyhedra,
VC(12), 1996, pp. 193-201. BibRef 9600

Zabrodsky, H.[Hagit], Peleg, S.[Shmuel], Avnir, D.[David],
Symmetry as a Continuous Feature,
PAMI(17), No. 12, December 1995, pp. 1154-1166.
IEEE Abstract. IEEE Top Reference.
WWW Version. BibRef 9512
Earlier:
Symmetry of Fuzzy Data,
ICPR94(A:499-504).
IEEE DOI Link Measure how far something is from being symmetric. Has been applied to graphs for chemical diagram analysis. See also Symmetry as a Continuous Feature: Comment. BibRef

Zabrodsky, H., Peleg, S., and Avnir, D.,
Completion of Occluded Shapes Using Symmetry,
CVPR93(678-679).
IEEE Abstract. IEEE Top Reference. BibRef 9300

Zabrodsky, H.[Hagit], Peleg, S.[Shmuel], Avnir, D.[David],
A measure of symmetry based on shape similarity,
CVPR92(703-706).
IEEE Abstract. IEEE Top Reference. 0403
BibRef
And:
Hierarchical Symmetry,
ICPR92(III:9-12).
IEEE DOI Link BibRef

Kanatani, K.,
Symmetry as a Continuous Feature: Comment,
PAMI(19), No. 3, March 1997, pp. 246-247.
IEEE Abstract. IEEE Top Reference.
WWW Version. 9704
Point out a theoretical difficulty and fix it. See also Symmetry as a Continuous Feature. BibRef

Yip, R.K.K.[Raymond K.K.], Tam, P.K.S.[Peter K.S.], and Leung, D.N.K.[Dennis N.K.],
Application of Elliptic Fourier Descriptors to Symmetry Detection under Parallel Projection,
PAMI(16), No. 3, March 1994, pp. 277-286.
IEEE Abstract. IEEE Top Reference.
WWW Version. Fourier Descriptors. BibRef 9403

Fawcett, R.[Roger], Zisserman, A.[Andrew], Brady, J.M.[J. Michael],
Extracting Structure from an Affine View of a 3D Point Set with One or 2 Bilateral Symmetries,
IVC(12), No. 9, November 1994, pp. 615-622.
WWW Version. BibRef 9411
Earlier: BMVC93(xx-yy).
PDF Version. 9309
BibRef

Van Gool, L.J., Moons, T., Ungureanu, D., Pauwels, E.J.,
Symmetry from Shape and Shape from Symmetry,
IJRR(14), No. 5, October 1995, pp. 407-424. BibRef 9510

Van Gool, L.J., Proesmans, M.[Marc], Moons, T.[Theo],
Mirror and Point Symmetry under Perspective Skewing,
CVPR96(285-292).
IEEE Abstract. IEEE Top Reference.
WWW Version. BibRef 9600

Van Gool, L.J., Moons, T., Proesmans, M., Oosterlinck, A.,
Groups, fixed sets, symmetries, and invariants,
ICIP95(III: 356-359).
IEEE DOI Link 9510
BibRef

Sun, C.[ChangMing],
Symmetry Detection Using Gradient Information,
PRL(16), No. 9, September 1995, pp. 987-996.
PDF Version. Histogram of orientation. BibRef 9509

Sun, C.M.[Chang-Ming],
Fast Recovery of Rotational Symmetry Parameters Using Gradient Orientation,
OptEng(36), No. 4, April 1997, pp. 1073-1077.
PDF Version. 9705
BibRef

Shaked, D., Bruckstein, A.M.,
The Curve Axis,
CVIU(63), No. 2, March 1996, pp. 367-379.
WWW Version. BibRef 9603

Bruckstein, A.M.[Alfred M.], Shaked, D.[Doron],
Skew Symmetry Detection via Invariant Signatures,
PR(31), No. 2, February 1998, pp. 181-192.
WWW Version. 9802
BibRef
Earlier: CAIP95(17-24).
Springer DOI Link 9509
BibRef

Robinson, J.J.,
Line Symmetry of Convex Digital Regions,
CVIU(64), No. 2, September 1996, pp. 263-285.
WWW Version. BibRef 9609

Robinson, J.J., Kim, C.E.,
Point Symmetry of Convex Digital Regions,
CVPR88(604-609).
IEEE Abstract. IEEE Top Reference. BibRef 8800

Masuda, T., Yamamoto, K., Yamada, H.,
Detection of Partial Symmetry Using Correlation with Rotated-Reflected Images,
PR(26), No. 8, August 1993, pp. 1245-1253.
WWW Version. BibRef 9308

Parui, S.K., Majumder, D.D.,
Symmetry Analysis By Computer,
PR(16), No. 1, 1983, pp. 63-67.
WWW Version. 9611
BibRef

Ogawa, H.,
Symmetry Analysis of Line Drawings Using the Hough Transform,
PRL(12), 1991, pp. 9-12. BibRef 9100

Cho, K., Dunn, S.M.,
Hierarchical Local Symmetries,
PRL(12), 1991, pp. 343-347. BibRef 9100

Atallah, M.J.,
On Symmetry Detection,
TC(34), 1985, pp. 663-666. BibRef 8500

Kakarala, R., Cadzow, J.A.,
Estimation of Phase for Noisy Linear Phase Signals,
TSP(44), No. 10, October 1996, pp. 2483-2497. BibRef 9610

Tuzikov, A.V., Margolin, G.L., Grenov, A.I.,
Convex Set Symmetry Measurement via Minkowski Addition,
JMIV(7), No. 1, January 1997, pp. 53-68.
WWW Version. 9703
BibRef

Tuzikov, A.V., Margolin, G.L., Heijmans, H.J.A.M.,
Efficient computation of a reflection symmetry measure for convex polygons based on Minkowski addition,
ICPR96(II: 236-240).
IEEE DOI Link 9608
(CWI, NL) BibRef

Margolin, G.L., Tuzikov, A.V., Grenov, A.I.,
Reflection symmetry measure for convex sets,
ICIP94(I: 691-695).
IEEE DOI Link 9411
BibRef

Tuzikov, A.V.[Alexander V.], Sheynin, S.A.[Stanislav A.],
Symmetry Measure Computation for Convex Polyhedra,
JMIV(16), No. 1, January 2002, pp. 41-56.
WWW Version. 0202
BibRef

Sheynin, S.A.[Stanislav A.], Tuzikov, A.V.[Alexander V.], Volgin, D.[Denis],
Computation of Symmetry Measures for Polygonal Shapes,
CAIP99(183-190).
WWW Version. 9909
BibRef

Zabrodsky, H., Weinshall, D.,
Using Bilateral Symmetry to Improve 3D Reconstruction from Image Sequences,
CVIU(67), No. 1, July 1997, pp. 48-57. 9707

WWW Version. BibRef
Earlier:
Utilizing Symmetry in the Reconstruction of Three-Dimensional Shape from Noisy Images,
ECCV94(A:401-410).
Springer DOI Link BibRef

Shih, F.Y.[Frank Y.], Wong, W.T.[Wai-Tak],
A one-pass algorithm for local symmetry of contours from chain codes,
PR(32), No. 7, July 1999, pp. 1203-1210.
WWW Version. BibRef 9907

Shih, F.Y.[Frank Y.], Wong, W.T.[Wai-Tak],
An adaptive algorithm for conversion from quadtree to chain codes,
PR(34), No. 3, March 2001, pp. 631-639.
WWW Version. 0101
BibRef

Parsons, C.J., Nixon, M.S.,
Introducing Focus in the Generalized Symmetry Operator,
SPLetters(6), No. 3, March 1999, pp. 49.
IEEE Top Reference. BibRef 9903

Cross, A.D.J.[Andrew D.J.], Hancock, E.R.[Edwin R.],
Scale space vector fields for symmetry detection,
IVC(17), No. 5/6, April 1999, pp. 337-345.
WWW Version. BibRef 9904

Lei, Y.[Yiwu], Wong, K.C.[Kok Cheong],
Detection and localisation of reflectional and rotational symmetry under weak perspective projection,
PR(32), No. 2, February 1999, pp. 167-180.
WWW Version. BibRef 9902

Shen, D.G.[Ding-Gang], Ip, H.H.S.[Horace H.S.], Cheung, K.K.T.[Kent K.T.], Teoh, E.K.[Eam Khwang],
Symmetry Detection by Generalized Complex (GC) Moments: A Close-Form Solution,
PAMI(21), No. 5, May 1999, pp. 466-476.
IEEE Abstract. IEEE Top Reference.
WWW Version. Reflection and rotation symmetry from moments. BibRef 9905

Cheung, K.K.T.[Kent K.T.], Ip, H.H.S.[Horace H.S.],
Symmetry Detection Using Complex Moments,
ICPR98(Vol II: 1473-1475).
IEEE DOI Link 9808
BibRef

Sun, C.M.[Chang-Ming], and Si, D.[Deyi],
Fast Reflectional Symmetry Detection Using Orientation Histograms,
RealTimeImg(5), No. 1, February 1999, pp. 63-74. BibRef 9902

Yip, R.K.K.[Raymond K.K.],
A Hough transform technique for the detection of reflectional symmetry and skew-symmetry,
PRL(21), No. 2, February 2000, pp. 117-130. 0003
BibRef

Tari, S.[Sibel], and Shah, J.[Jayant],
Nested Local Symmetry Set,
CVIU(79), No. 2, August 2000, pp. 267-280. 0008

WWW Version. BibRef
Earlier:
Local Symmetries of Shapes in Arbitrary Dimension,
ICCV98(1123-1128).
IEEE DOI Link BibRef

Aslan, C.[Cagri], Erdem, A.[Aykut], Erdem, E.[Erkut], Tari, S.[Sibel],
Disconnected Skeleton: Shape at Its Absolute Scale,
PAMI(30), No. 12, December 2008, pp. 2188-2203.
IEEE DOI Link 0811
BibRef
Earlier: A1, A4, Only:
An Axis-Based Representation for Recognition,
ICCV05(II: 1339-1346).
IEEE DOI Link 0510
Skeleton representation and matching technique. Depend more on global features for matching. BibRef

Kiryati, N.[Nahum], Gofman, Y.[Yossi],
Detecting Symmetry in Grey Level Images: The Global Optimization Approach,
IJCV(29), No. 1, August 1998, pp. 29-45.
WWW Version. 0010
BibRef
Earlier: A2, A1: ICPR96(I: 889-894).
IEEE DOI Link 9608
BibRef
Earlier: A2, A1:
Detecting grey level symmetry: The frequency domain approach,
CAIP95(588-593).
Springer DOI Link 9509
(Technion, IL) BibRef

Shen, D.G.[Ding-Gang], Ip, H.H.S.[Horace H.S.], Teoh, E.K.[Eam Khwang],
Affine invariant detection of perceptually parallel 3D planar curves,
PR(33), No. 11, November 2000, pp. 1909-1918.
WWW Version. 0011
See also Generalized Affine Invariant Image Normalization. BibRef

Spinei, A., Pellerin, D., Fernandes, D., Herault, J.,
Fast hardware implementation of Gabor filter based motion estimation,
IntCAE(7), No. 1, 2000, pp. 67-77. 0001
BibRef

Shen, D.G.[Ding-Gang], Ip, H.H.S.[Horace H.S.], Teoh, E.K.[Eam Khwang],
An energy of asymmetry for accurate detection of global reflection axes,
IVC(19), No. 5, 1 April 2001, pp. 283-297.
WWW Version. 0102
BibRef
Earlier:
Detecting Reflection Axes by Energy Minimisation,
ICPR00(Vol II: 1026-1029).
IEEE DOI Link
HTML Version. 0009
BibRef

Shen, D.G.[Ding-Gang], Ip, H.H.S.[Horace H.S.], Teoh, E.K.[Eam Khwang],
Robust detection of skewed symmetries by combining local and semi-local affine invariants,
PR(34), No. 7, July 2001, pp. 1417-1428.
WWW Version. 0105
BibRef
Earlier:
Robust Detection of Skewed Symmetries,
ICPR00(Vol III: 1010-1013).
IEEE DOI Link 0009
BibRef

Shen, D.G.[Ding-Gang], Ip, H.H.S.[Horace H.S.], Teoh, E.K.[Eam Khwang],
A Novel Theorem on Symmetries of 2D Images,
ICPR00(Vol III: 1002-1005).
IEEE DOI Link
HTML Version. 0009
BibRef

Jenkinson, M.[Mark], Brady, M.[Michael],
A saliency-based hierarchy for local symmetries,
IVC(20), No. 2, February 2002, pp. 85-101.
WWW Version. 0202
BibRef

Geiger, D.[Davi], Liu, T.L.[Tyng-Luh], and Kohn, R.V.[Robert V.],
Representation and Self-Similarity of Shapes,
PAMI(25), No. 1, January 2003, pp. 86-99.
IEEE Abstract. IEEE Top Reference.
WWW Version. 0301
BibRef
Earlier: A2, A1, A3: ICCV98(1129-1135).
IEEE DOI Link BibRef

Liu, T.L.[Tyng-Luh], Yuille, A.L.[Alan L.], Geiger, D.[Davi],
Segmenting by Seeking the Symmetry Axis,
ICPR98(Vol II: 994-998).
IEEE DOI Link 9808
BibRef

Liu, T.L., Geiger, D.,
Approximate Tree Matching and Shape Similarity,
ICCV99(456-462).
IEEE DOI Link BibRef 9900

François, A.R.J.[Alexandre R. J.], Medioni, G.G.[Gérard G.], Waupotitsch, R.[Roman],
Mirror symmetry ==> 2-view stereo geometry,
IVC(21), No. 2, February 2003, pp. 137-143.
WWW Version. 0301
BibRef
Earlier:
Reconstructing mirror symmetric scenes from a single view using 2-view stereo geometry,
ICPR02(IV: 12-16).
IEEE DOI Link 0211
BibRef

Zouaki, H.[Hamid],
Convex set symmetry measurement using Blaschke addition,
PR(36), No. 3, March 2003, pp. 753-763.
WWW Version. 0301
BibRef

Tek, H.[Hüseyin], Kimia, B.B.[Benjamin B.],
Symmetry Maps of Free-Form Curve Segments via Wave Propagation,
IJCV(54), No. 1-3, August 2003, pp. 35-81.
WWW Version. 0306
BibRef
Earlier: ICCV99(362-369).
IEEE DOI Link BibRef

Tek, H., Stoll, P.A.[Perry A.], Kimia, B.B.,
Shocks from Images: Propagation of Orientation Elements,
CVPR97(839-845).
IEEE Abstract. IEEE Top Reference.
WWW Version. 9704
BibRef

Wang, H.Z.[Han-Zi], Suter, D.[David],
Using symmetry in robust model fitting,
PRL(24), No. 16, December 2003, pp. 2953-2966.
WWW Version. 0310
BibRef

Choi, I., Chien, S.I.,
A Generalized Symmetry Transform With Selective Attention Capability for Specific Corner Angles,
SPLetters(11), No. 2, February 2004, pp. 255-257.
IEEE Abstract. IEEE Top Reference. 0402
BibRef

Lucchese, L.[Luca],
Frequency domain classification of cyclic and dihedral symmetries of finite 2-D patterns,
PR(37), No. 12, December 2004, pp. 2263-2280.
WWW Version. 0409
BibRef
Earlier:
A frequency domain algorithm for detection and classification of cyclic and dihedral symmetries in two-dimensional patterns,
ICIP02(II: 793-796).
IEEE Abstract. IEEE Top Reference. 0210
BibRef

di Gesu, V.[Vito], Zavidovique, B.[Bertrand],
A note on the iterative object symmetry transform,
PRL(25), No. 14, 15 October 2004, pp. 1533-1545.
WWW Version. 0410
BibRef

di Gesu, V., lo Bosco, G., Zavidovique, B.[Bertrand],
Classification based on iterative object symmetry transform,
CIAP03(44-49).
IEEE Abstract. IEEE Top Reference. 0310
BibRef

Zavidovique, B.[Bertrand], Di Gesù, V.[Vito],
The S-kernel: A measure of symmetry of objects,
PR(40), No. 3, March 2007, pp. 839-852.
WWW Version. 0611
BibRef
Earlier:
Kernel Based Symmetry Measure,
CIAP05(261-268).
Springer DOI Link 0509
BibRef
And:
The S-Kernel and a Symmetry Measure Based on Correlation,
SCIA05(184-194).
Springer DOI Link 0506
BibRef
Earlier:
The iterative object symmetry transform,
ICIP04(IV: 2677-2680).
IEEE DOI Link 0505
Symmetry transforms; Symmetry measure; Erosion; Correlation; Feature extraction BibRef

Zavidovique, B.[Bertrand], di Gesú, V.[Vito],
Pyramid symmetry transforms: From local to global symmetry,
IVC(25), No. 2, February 2007, pp. 220-229.
WWW Version. 0701
Soft computing; Pyramid computation; Symmetry computation; Visual attention; Visual perception BibRef

Huang, K.[Kun], Hong, W.[Wei], Ma, Y.[Yi],
Symmetry-based photo-editing,
PR(38), No. 6, June 2005, pp. 825-834.
WWW Version. 0501
BibRef
Earlier: HLK03(21-28).
IEEE Abstract. IEEE Top Reference. 0402
BibRef

Xiao, Z.T.[Zhi-Tao], Hou, Z.X.[Zheng-Xin], Miao, C.Y.[Chang-Yun], Wang, J.M.[Jian-Ming],
Using phase information for symmetry detection,
PRL(26), No. 13, 1 October 2005, pp. 1985-1994.
WWW Version. 0509
BibRef

Poliannikov, O.V., Krim, H.,
Identification of a Discrete Planar Symmetric Shape From a Single Noisy View,
IP(14), No. 12, December 2005, pp. 2051-2059.
IEEE DOI Link 0512
BibRef

Lee, S.S.[Seung-Sin], Rao, R.M.[Raghuveer M.],
Self-Similar Random Field Models in Discrete Space,
IP(15), No. 1, January 2006, pp. 160-168.
IEEE DOI Link 0601
BibRef
Earlier:
Scale-based formulations of statistical self-similarity in images,
ICIP04(IV: 2323-2326).
IEEE DOI Link 0505
BibRef

Park, C.J.[Chang-Joon], Seo, K.S.[Kyung-Seok], Choi, H.M.[Heung-Moon],
Symmetric polarity in generalized symmetry transformation,
PRL(27), No. 7, May 2006, pp. 854-857.
WWW Version. Noise tolerance; Attentional operator; Object detection 0604
BibRef

Keller, Y., Shkolnisky, Y.,
A Signal Processing Approach to Symmetry Detection,
IP(15), No. 8, August 2006, pp. 2198-2207.
IEEE DOI Link 0606
BibRef
Earlier:
An algebraic approach to symmetry detection,
ICPR04(III: 186-189).
IEEE DOI Link 0409
BibRef

Kuijper, A.[Arjan], Olsen, O.F.[Ole Fogh], Giblin, P.J.[Peter J.], Nielsen, M.[Mads],
Alternative 2D Shape Representations using the Symmetry Set,
JMIV(26), No. 1-2, November 2006, pp. 127-147.
Springer DOI Link 0701
BibRef

Kuijper, A.[Arjan], Olsen, O.F.[Ole Fogh], Giblin, P.J.[Peter J.], Bille, P.[Philip], Nielsen, M.[Mads],
From a 2D Shape to a String Structure Using the Symmetry Set,
ECCV04(Vol II: 313-325).
WWW Version. 0405
As an alternative to skeletons. For easier indexing. BibRef

Kuijper, A.[Arjan], Olsen, O.F.[Ole Fogh],
Geometric Skeletonization Using the Symmetry Set,
ICIP05(I: 497-500).
IEEE DOI Link 0512
See also Structure of Shapes Scale Space Aspects of the (pre-) Symmetry Set, The. BibRef

Kuijper, A.[Arjan], Olsen, O.F.[Ole Fogh], Bille, P.[Philip], Giblin, P.J.[Peter J.],
Matching 2D Shapes using their Symmetry Sets,
ICPR06(II: 179-182).
WWW Version. 0609
BibRef

Kuijper, A.[Arjan],
Deriving the Medial Axis with geometrical arguments for planar shapes,
PRL(28), No. 15, 1 November 2007, pp. 2011-2018.
WWW Version. 0711
Medial Axis; Symmetry Set; Shape geometry, Skeletons BibRef

Baloch, S.H., Krim, H.,
Flexible Skew-Symmetric Shape Model for Shape Representation, Classification, and Sampling,
IP(16), No. 2, February 2007, pp. 317-328.
IEEE DOI Link 0702
BibRef

Milner, D.[David], Raz, S.[Shmuel], Hel-Or, H.[Hagit], Keren, D.[Daniel], Nevo, E.[Eviatar],
A new measure of symmetry and its application to classification of bifurcating structures,
PR(40), No. 8, August 2007, pp. 2237-2250.
WWW Version. 0704
BibRef
Earlier: A1, A3, A4, A2, A5:
Analyzing Symmetry in Biological Systems,
ICIP05(I: 361-364).
IEEE DOI Link 0512
Symmetry; Bifurcating structures; Graphs; Leaf veins; CSM; Shape characteristics; Continuous symmetry BibRef

Schmitt, O.[Oliver], Hasse, M.[Maria],
Radial symmetries based decomposition of cell clusters in binary and gray level images,
PR(41), No. 6, June 2008, pp. 1905-1923.
WWW Version. 0802
Image analysis; Radial symmetry; Saliency; Points of interest; Center of mass; Iterative voting; Decomposition; Separation; Subdivision; Splitting; Partitioning; Cell cluster BibRef

Schmitt, O.[Oliver], Reetz, S.[Stephan],
On the Decomposition of Cell Clusters,
JMIV(33), No. 1, January 2009, pp. xx-yy.
Springer DOI Link 0804
BibRef

Schmitt, O.[Oliver], Hasse, M.[Maria],
Morphological multiscale decomposition of connected regions with emphasis on cell clusters,
CVIU(113), No. 2, February 2009, pp. 188-201.
Elsevier DOI Link
WWW Version. 0901
Image analysis; Multiscale morphology; Decomposition; Separation; Subdivision; Splitting; Partitioning; Decoupling; Cell clustering; Cell grouping BibRef

Gong, Y.H.[Yuan-Hao], Wang, Q.[Qicong], Yang, C.[Chenhui], Gao, Y.H.[Ya-Hui], Li, C.[Cuihua],
Symmetry Detection for Multi-object Using Local Polar Coordinate,
CAIP09(277-284).
Springer DOI Link 0909
BibRef

Teferi, D.[Dereje], Bigun, J.[Josef],
Multi-view and Multi-scale Recognition of Symmetric Patterns,
SCIA09(657-666).
Springer DOI Link 0906
Use of symmetries to compute camera pose. BibRef

Robert-Inacio, F., Le Fur, P.,
Symmetry detection for astronomical object study,
IVCNZ08(1-6).
IEEE DOI Link 0811
BibRef

Bitsakos, K., Yi, H., Yi, L., Fermuller, C.,
Bilateral symmetry of object silhouettes under perspective projection,
ICPR08(1-4).
IEEE DOI Link 0812
BibRef

Yang, X.W.[Xing-Wei], Adluru, N.[Nagesh], Latecki, L.J.[Longin Jan], Bai, X.[Xiang], Pizlo, Z.[Zygmunt],
Symmetry of Shapes Via Self-Similarity,
ISVC08(II: 561-570).
Springer DOI Link 0812
BibRef

Albarelli, A.[Andrea], Pelillo, M.[Marcello], Viviani, S.[Sebastiano],
Consensus Graphs for Symmetry Plane Estimation,
SSPR08(197-206).
Springer DOI Link 0812
BibRef

Kootstra, G., Nederveen, A., de Boer, B.,
Paying Attention to Symmetry,
BMVC08(xx-yy).
PDF Version. 0809
BibRef

Combes, B.[Benoit], Hennessy, R.[Robin], Waddington, J.[John], Roberts, N.[Neil], Prima, S.[Sylvain],
Automatic symmetry plane estimation of bilateral objects in point clouds,
CVPR08(1-8).
IEEE DOI Link 0806
BibRef

Parky, M.W.[Min-Woo], Leey, S.K.[Seung-Kyu], Cheny, P.C.[Po-Chun], Kashyap, S.[Somesh], Butty, A.A.[Asad A.], Liuy, Y.X.[Yan-Xi],
Performance evaluation of state-of-the-art discrete symmetry detection algorithms,
CVPR08(1-8).
IEEE DOI Link 0806
BibRef

Chen, P., Hays, J.H.[James H.], Lee, S., Park, M., and Liu, Y.X.[Yan-Xi],
A Quantitative Evaluation of Symmetry Detection Algorithms,
CMU-RI-TR-07-36, September, 2007.
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Aggarwal, G.[Gaurav], Biswas, S.[Soma], Chellappa, R.[Rama],
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Andres del Valle, A.C., Cano, J., Bekkali, A.,
Digital Reflection: Simulating the Mirroring Effect,
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Venkatesh, M.V., Cheung, S.E.S.,
Symmetric Shape Completion Under Severe Occlusions,
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Li, W.H.[Wai Ho], Zhang, A.M.[Alan M.], and Kleeman, L.[Lindsay],
Real Time Detection and Segmentation of Reflectionally Symmetric Objects in Digital Images,
IROS06(xx-yy).
PDF Version. Real Time model-free segmentation of objects using symmetry and Dynamic Programming. Intended for use in robotic applications, such as grasp planning and object manipulation. BibRef 0600

Li, W.H.[Wai Ho], Zhang, A.M.[Alan M.], and Kleeman, L.[Lindsay],
Fast Global Reflectional Symmetry Detection for Robotic Grasping and Visual Tracking,
ACRA05(xx-yy).
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Li, W.H.[Wai Ho], and Kleeman, L.[Lindsay],
Real Time Object Tracking using Reflectional Symmetry and Motion,
IROS06(xx-yy).
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WWW Version. BibRef 0600