11.5.4.2 Rotational Symmetry, Axial Symmetry

Chapter Contents (Back)
Symmetry, Rotation. Symmetry, Axial. Rotational Symmetry. Rotational Symmetric.

Pei, S.C.[Soo-Chang], Liou, L.G.[Lin-Gwo],
Automatic Symmetry Determination and Normalization for Rotationally Symmetrical 2D Shapes and 3D Solid Objects,
PR(27), No. 9, September 1994, pp. 1193-1208.
Elsevier DOI BibRef 9409

Pei, S.C.[Soo-Chang], Lin, C.N.[Chao-Nan],
Normalization of Rotationally Symmetric Shapes for Pattern Recognition,
PR(25), No. 9, September 1992, pp. 913-920.
Elsevier DOI BibRef 9209

Pei, S.C.[Soo-Chang], Lin, C.N.[Chao-Nan],
Image Normalization for Pattern-Recognition,
IVC(13), No. 10, December 1995, pp. 711-723.
Elsevier DOI BibRef 9512

Yip, R.K.K., Lam, W.C.Y., Tam, P.K.S., Leung, D.N.K.,
A Hough Transform Technique for the Detection of Rotational Symmetry,
PRL(15), No. 9, September 1994, pp. 919-928.
See also Modification of Hough Transform for Circles and Ellipses Detection Using a 2-Dimensional Array. BibRef 9409

Yip, R.K.K.[Raymond K.K.],
A Hough transform technique for the detection of parallel projected rotational symmetry,
PRL(20), No. 10, October 1999, pp. 991-1004. 9911
BibRef

Yip, R.K.K.[Raymond K.K.],
Genetic Fourier descriptor for the detection of rotational symmetry,
IVC(25), No. 2, February 2007, pp. 148-154.
Elsevier DOI 0701
Genetic algorithm; Fourier descriptors; Rotational symmetry detection BibRef

Tsai, W.H.[Wen-Hsiang], Chou, S.L.[Sheng-Lin],
Detection of Generalized Principal Axes in Rotationally Symmetric Shapes,
PR(24), No. 2, 1991, pp. 95-104.
Elsevier DOI BibRef 9100

Lin, J.C.[Ja-Chen], Chou, S.L.[Sheng-Lin], Tsai, W.H.[Wen-Hsiang],
Detection of Rotationally Symmetric Shape Orientations by Fold-Invariant Shape-Specific Points,
PR(25), No. 5, May 1992, pp. 473-482.
Elsevier DOI BibRef 9205

Chou, S.L.[Sheng-Lin], Lin, J.C.[Ja-Chen], Tsai, W.H.[Wen-Hsiang],
Fold Principal Axis: A New Tool for Defining the Orientations of Rotationally Symmetric Shapes,
PRL(12), 1991, pp. 109-115. BibRef 9100

Yang, M.C.[Meng-Chien], Tsai, W.H.[Wen-Hsiang],
Recognition of Single 3D Curved Objects Using 2D Cross-Sectional Slice Shapes,
IVC(7), No. 3, August 1989, pp. 210-216.
Elsevier DOI BibRef 8908

Leou, J.J.[Jin-Jang], Tsai, W.H.[Wen-Hsiang],
Automatic Rotational Symmetry Determination for Shape Analysis,
PR(20), No. 6, 1987, pp. 571-582.
Elsevier DOI BibRef 8700

Lin, J.C.[Ja-Chen],
Universal Principal Axes: An Easy-to-Construct Tool Useful in Defining Shape Orientations for Almost Every Kind of Shape,
PR(26), No. 4, April 1993, pp. 485-493.
Elsevier DOI Define shape orientations. BibRef 9304

Lin, J.C.[Ja-Chen],
The Family of Universal Axes,
PR(29), No. 3, March 1996, pp. 477-485.
Elsevier DOI BibRef 9603

Pottmann, H., Lu, W., Ravani, B.,
Rational Ruled Surfaces and Their Offsets,
GMIP(58), No. 6, November 1996, pp. 544-552. 9701
BibRef

Llados, J., Bunke, H., Marti, E.,
Finding Rotational Symmetries by Cyclic String Matching,
PRL(18), No. 14, December 1997, pp. 1435-1442. 9806
BibRef

Cheng, H.D., Desai, R.,
Scene Classification by Fuzzy Local Moments,
PRAI(12), No. 7, November 1998, pp. 921. BibRef 9811

Desai, R., Cheng, H.D.,
Pattern Recognition by Local Radial Moments,
ICPR94(B:168-172).
IEEE DOI BibRef 9400

Colombo, C.[Carlo], del Bimbo, A.[Alberto], Pernici, F.[Federico],
Metric 3D Reconstruction and Texture Acquisition of Surfaces of Revolution from a Single Uncalibrated View,
PAMI(27), No. 1, January 2005, pp. 99-114.
IEEE Abstract. 0412
BibRef
Earlier:
Image Mosaicing from Uncalibrated Views of a Surface of Revolution,
BMVC04(xx-yy).
HTML Version. 0508
BibRef
Earlier:
Uncalibrated 3D metric reconstruction and flattened texture acquisition from a single view of a surface of revolution,
3DPVT02(277-284).
IEEE DOI 0206
Surface of revolution. Use textures on the surface. BibRef

Pernici, F.[Federico],
Two Results in Computer Vision using Projective Geometry,
Ph.D.Thesis, University of Florence Faculty of Engineering Dipartimento di Sistemi e Informatica, 2006.
PDF File. BibRef 0600

Colombo, C.[Carlo], Comanducci, D.[Dario], del Bimbo, A.[Alberto],
Shape reconstruction and texture sampling by active rectification and virtual view synthesis,
CVIU(115), No. 2, February 2011, pp. 161-176.
Elsevier DOI 1102
3D model acquisition; Shape reconstruction; Texture sampling; Active rectification; Virtual view synthesis BibRef

Colombo, C.[Carlo], Comanducci, D.[Dario], del Bimbo, A.[Alberto], Pernici, F.[Federico],
3D Database Population from Single Views of Surfaces of Revolution,
CIAP05(834-841).
Springer DOI 0509
BibRef
Earlier:
Accurate Automatic Localization of Surfaces of Revolution for Self-Calibration and Metric Reconstruction,
PercOrg04(55).
IEEE DOI 0502
BibRef

Werghi, N.[Naoufel],
A robust approach for constructing a graph representation of articulated and tubular-like objects from 3D scattered data,
PRL(27), No. 6, 15 April 2006, pp. 643-651.
Elsevier DOI Graph-based 3D shape representation; Articulated and tubular-like objects; Reeb-graph; Geodesic distance; Graph visualization 0604
BibRef

Zhou, J.[Jin], Li, B.X.[Bao-Xin],
Rapid modeling of cones and cylinders from a single calibrated image using minimum 2D control points,
MVA(22), No. 2, March 2011, pp. 303-321.
WWW Link. 1103
BibRef
Earlier:
A Four Point Algorithm for Fast Metric Cone Reconstruction from a Calibrated Image,
ISVC08(II: 634-643).
Springer DOI 0812
BibRef

Lee, S.K.[Seung-Kyu], Liu, Y.X.[Yan-Xi],
Curved Glide-Reflection Symmetry Detection,
PAMI(34), No. 2, February 2012, pp. 266-278.
IEEE DOI 1112
BibRef
Earlier: CVPR09(1046-1053).
IEEE DOI 0906
Generalize Bilateral reflection symmetry to curved glide-reflection. Leaf images. Dataset, Symmetry Images. BibRef

Lee, S.K.[Seung-Kyu], Collins, R.T.[Robert T.], Liu, Y.X.[Yan-Xi],
Rotation symmetry group detection via frequency analysis of frieze-expansions,
CVPR08(1-8).
IEEE DOI 0806
BibRef

Andres, E.[Eric], Richaume, L.[Lydie], Largeteau-Skapin, G.[Gaelle],
Digital Surface of Revolution with Hand-Drawn Generatrix,
JMIV(59), No. 1, September 2017, pp. 40-51.
Springer DOI 1708
BibRef

Huang, R.G.[Rong-Gang], Liu, Y.G.[Yi-Guang], Xu, Z.Y.[Zhen-Yu], Wu, P.F.[Peng-Fei], Shi, Y.T.[Yong-Tao],
Multiple rotation symmetry group detection via saliency-based visual attention and Frieze expansion pattern,
SP:IC(60), No. 1, 2018, pp. 91-99.
Elsevier DOI 1712
RSS BibRef

Sipiran, I.,
Analysis of Partial Axial Symmetry on 3D Surfaces and Its Application in the Restoration of Cultural Heritage Objects,
eHeritage17(2925-2933)
IEEE DOI 1802
Algorithm design and analysis, Cultural differences, Generators, Geometry, Heating systems, Shape, BibRef

di Angelo, L.[Luca], di Stefano, P.[Paolo],
Axis estimation of thin-walled axially symmetric solids,
PRL(106), 2018, pp. 47-52.
Elsevier DOI 1804
Axis estimation, Geometric inspection, 3D archeology, Computer, Methods in archaeology BibRef

Chen, D., Zhang, J., Cohen, L.D.,
Minimal Paths for Tubular Structure Segmentation With Coherence Penalty and Adaptive Anisotropy,
IP(28), No. 3, March 2019, pp. 1271-1284.
IEEE DOI 1812
blood vessels, differential geometry, image segmentation, medical image processing, minimal path model, tubular structure segmentation BibRef

Rodriguez Salas, R.[Rosemberg], Dokládal, P.[Petr], Dokladalova, E.[Eva],
A minimal model for classification of rotated objects with prediction of the angle of rotation,
JVCIR(75), 2021, pp. 103054.
Elsevier DOI 2103
Image Classification, Convolutional neural network, Rotation invariance, Prediction of angle of rotation, Steerable filters BibRef


Seo, A.[Ahyun], Kim, B.[Byungjin], Kwak, S.[Suha], Cho, M.[Minsu],
Reflection and Rotation Symmetry Detection via Equivariant Learning,
CVPR22(9529-9538)
IEEE DOI 2210
Benchmark testing, Feature extraction, Reflection, Mirrors, Pattern matching, Recognition: detection, categorization, retrieval BibRef

Chan, T.O., Xia, L., Tang, J., Liu, M., Lang, W., Chen, T., Xiao, H.,
Central Axis Estimation for Ancient Chinese Pagodas Based on Geometric Modelling and Uav-based Photogrammetry,
ISPRS20(B2:751-756).
DOI Link 2012
BibRef

Zeng, J.C., Chiang, K.W.,
The Assessment of Curved Centerline Generation In HDMAPS Based on Point Clouds,
ISPRS20(B1:285-290).
DOI Link 2012
BibRef

Yu, S.H.[Seung-Hwa], Lee, S.K.[Seugn-Kyu],
Rotation Symmetry Object Classification Using Structure Constrained Convolutional Neural Network,
ISVC18(139-146).
Springer DOI 1811
BibRef

Janssen, M.H.J.[Michiel H.J.], Dela Haije, T.C.J.[Tom C.J.], Martin, F.C.[Frank C.], Bekkers, E.J.[Erik J.], Duits, R.[Remco],
The Hessian of Axially Symmetric Functions on SE(3) and Application in 3D Image Analysis,
SSVM17(643-655).
Springer DOI 1706
BibRef

Phillips, C.J., Danillidis, K.,
Absolute Pose and Structure from Motion for Surfaces of Revolution: Minimal Problems Using Apparent Contours,
3DV16(221-229)
IEEE DOI 1701
image motion analysis BibRef

Miglani, A., Roy, S.D., Chaudhury, S., Srivastava, J.B.,
Symmetry based 3D reconstruction of repeated cylinders,
NCVPRIPG13(1-4)
IEEE DOI 1408
cameras BibRef

de Figueiredo, R.P.[Rui Pimentel], Moreno, P.[Plinio], Bernardino, A.[Alexandre],
Fast 3D Object Recognition of Rotationally Symmetric Objects,
IbPRIA13(125-132).
Springer DOI 1307
BibRef

Fuciños, M.[María], López, J.[Juan], Pardo, X.M.[Xosé M.], Fdez-Vidal, X.R.[Xosé R.],
Fast Implementation of a New Radial Symmetry Measure for Photogrammetry,
IbPRIA13(221-228).
Springer DOI 1307
BibRef

Rossi, L.[Luca], Torsello, A.[Andrea], Hancock, E.R.[Edwin R.],
Node Centrality for Continuous-Time Quantum Walks,
SSSPR14(103-112).
Springer DOI 1408
BibRef
Earlier:
Approximate Axial Symmetries from Continuous Time Quantum Walks,
SSSPR12(144-152).
Springer DOI 1211

See also Graph matching using the interference of continuous-time quantum walks. BibRef

Ni, J.[Jie], Singh, M.K.[Maneesh K.], Bahlmann, C.[Claus],
Fast radial symmetry detection under affine transformations,
CVPR12(932-939).
IEEE DOI 1208
BibRef

Fujiki, J., Usami, Y., Hino, H., Akaho, S., Murata, N.,
Estimation of a rotationally symmetric mirror shape from a frontal image of the mirror,
IVCNZ10(1-6).
IEEE DOI 1203
BibRef

Boden, C.[Charlotte], Bhalerao, A.H.[Abhir H.],
Surface Reconstruction of Rotating Objects from Monocular Video,
ACIVS11(702-711).
Springer DOI 1108
BibRef

Cardenes, R.[Ruben], Bogunovic, H.[Hrvoje], Frangi, A.F.[Alejandro F.],
Fast 3D centerline computation for tubular structures by front collapsing and fast marching,
ICIP10(4109-4112).
IEEE DOI 1009
BibRef

Chionh, E.W.[Eng-Wee],
Shifting Planes to Follow a Surface of Revolution,
GMP08(xx-yy).
Springer DOI 0804
BibRef

Ouzounis, G.K.[Georgios K.], Wilkinson, M.H.F.[Michael H.F.],
Filament Enhancement by Non-linear Volumetric Filtering Using Clustering-Based Connectivity,
IWICPAS06(317-327).
Springer DOI 0608
BibRef

Beder, C.[Christian], Förstner, W.[Wolfgang],
Direct Solutions for Computing Cylinders from Minimal Sets of 3D Points,
ECCV06(I: 135-146).
Springer DOI 0608
BibRef

Gupta, A., Prasad, V.S.N., Davis, L.S.,
Extracting Regions of Symmetry,
ICIP05(III: 133-136).
IEEE DOI 0512
BibRef

Prasad, V.S.N.[V. Shiv Naga], Davis, L.S.[Larry S.],
Detecting Rotational Symmetries,
ICCV05(II: 954-961).
IEEE DOI 0510
BibRef

Thrun, S.[Sebastian], Wegbreit, B.[Ben],
Shape from Symmetry,
ICCV05(II: 1824-1831).
IEEE DOI 0510
Reconstruct probable surface from 3-D range data. BibRef

Taki, M., Sato, J.,
3d reconstruction and virtual forming in rotationally symmetric space,
ICPR04(II: 261-264).
IEEE DOI 0409
BibRef

Spies, H., Johansson, B.,
Directional channel representation for multiple line-endings and intensity levels,
ICIP03(I: 265-268).
IEEE DOI 0312
BibRef

Johansson, B.[Bjorn], Granlund, G.H.[Gosta H.],
Fast Selective Detection of Rotational Symmetries Using Normalized Inhibition,
ECCV00(I: 871-887).
Springer DOI 0205
BibRef

Johansson, B.[Bjorn], Knutsson, H.[Hans], Granlund, G.H.[Gosta H.],
Detecting Rotational Symmetries Using Normalized Convolution,
ICPR00(Vol III: 496-500).
IEEE DOI 0009
BibRef

Yu, Q.F.[Qing-Feng], Lu, H.Q.[Han-Qing], Ma, S.D.[Song-De],
Computer Analysis of Rotational Symmetry in CBED Patterns,
ICPR00(Vol III: 746-749).
IEEE DOI
IEEE DOI 0009
BibRef

Lenz, R.[Reiner], Homma, K.[Kazuhiro],
Rotational Symmetry: The Lie Group SO(3) and Its Representations,
ICIP96(III: 203-206).
IEEE DOI BibRef 9600

Fleck, M.M.[Margaret Morrison],
Local Rotational Symmetries,
CVPR86(332-337). BibRef 8600
And: Longer version: MIT AI-TR-852, August 1985.
WWW Link. Extends Brady and Asada (
See also Smoothed Local Symmetries and Their Implementation. ) to curves. Very time consuming algorithm. BibRef

Fleck, M.M.[Margaret Morrison],
Classifying Symmetry Sets,
BMVC90(297-302).
PDF File. BibRef 9000

Hoffelder, M., Sauer, K., Rigby, Jr., J.K.,
A Hough Transform Technique for Detection of Rotationally Invariant Surface Features,
ICIP94(I: 944-948).
IEEE DOI BibRef 9400

Chapter on 3-D Object Description and Computation Techniques, Surfaces, Deformable, View Generation, Video Conferencing continues in
General Three-Dimensional Symmetries, 3-D Symmetry .


Last update:Mar 16, 2024 at 20:36:19