article

Symmetry in 3D Geometry: Extraction and Applications

Authors:

Niloy J. Mitra,

Duygu CeylanAuthors Info & Claims

Computer Graphics Forum, Volume 32, Issue 6

Pages 1 - 23

https://doi.org/10.1111/cgf.12010

Published: 01 September 2013 Publication History

Abstract

The concept of symmetry has received significant attention in computer graphics and computer vision research in recent years. Numerous methods have been proposed to find, extract, encode and exploit geometric symmetries and high-level structural information for a wide variety of geometry processing tasks. This report surveys and classifies recent developments in symmetry detection. We focus on elucidating the key similarities and differences between existing methods to gain a better understanding of a fundamental problem in digital geometry processing and shape understanding in general. We discuss a variety of applications in computer graphics and geometry processing that benefit from symmetry information for more effective processing. An analysis of the strengths and limitations of existing algorithms highlights the plenitude of opportunities for future research both in terms of theory and applications.

References

[1]

{ACOM12} Aiger D., Cohen-Or D., Mitra N. J.: Repetition maximization based texture rectification. Computer Graphics Forum EUROGRAPHICS 31, Volume 2 2012, pp.439-448.

Digital Library

[2]

{AMCO08} Aiger D., Mitra N. J., Cohen-Or D.: 4-points congruent sets for robust surface registration. ACM Transactions on Graphics Proc. SIGGRAPH 27, Volume 3 2008, pp.85:1-85:10.

Digital Library

[3]

{AMWW88} Alt H., Mehlhorn K., Wagener H., Welzl E.: Congruence, similarity and symmetries of geometric objects. Discrete and Computational Geometry 3, Volume 3 1988, pp.237-256.

Digital Library

[4]

{Ata85} Atallah M. J.: On symmetry detection. E Transactions on Computers 34, Volume 7 1985, pp.663-666.

Digital Library

[5]

{BAK10} Bermanis A., Averbuch A., Keller Y.: 3-d symmetry detection and analysis using the pseudo polar fourier transform. International Journal of Computer Vision 90, Volume 2 2010, pp.166-182.

Digital Library

[6]

{BBW*08} Berner A., Bokeloh M., Wand M., Schilling A., Seidel H.-P.: A graph-based approach to symmetry detection. In Symposium on Volume and Point-Based Graphics 2008, pp. pp.1-8.

Digital Library

[7]

{BBW*09a} Berner A., Bokeloh M., Wand M., Schilling A., Seidel H.-P.: Generalized intrinsic symmetry detection. Research Report MPI I-2009-4-005, Max-Planck Institut für Informatik, 2009.

[8]

{BBW*09b} Bokeloh M., Berner A., Wand M., Seidel H.-P., Schilling A.: Symmetry detection using line features. Computer Graphics Forum Proc. EUROGRAPHICS 28, Volume 2 2009, pp.697-706.

[9]

{BCBSG10} Ben-Chen M., Butscher A., Solomon J., Guibas L.: On discrete killing vector fields and patterns on surfaces. Computer Graphics Forum Proceedings of Symposium of Geometry Processing Volume 29, Issue 5 2010, pp.1701-1711.

[10]

{BCM08} Buades A., Coll B., Morel J.-M.: Nonlocal image and movie denoising. International Journal of Computer Vision 76, Volume 2 2008, pp.123-139.

Digital Library

[11]

{BM92} Besl P. J., McKay N. D.: A method for registration of 3-d shapes. IEEE Transactions on Pattern Analysis and Machine Intelligence 14, Volume 2 1992, pp.239-256.

Digital Library

[12]

{BWKS11} Bokeloh M., Wand M., Koltun V., Seidel H.-P.: Pattern-aware shape deformation using sliding dockers. ACM Transactions on Graphics Proc. SIGGRAPH ASIA 30, Volume 6 2011, pp.123:1-123:10.

Digital Library

[13]

{BWM*11} Berner A., Wand M., Mitra N. J., Mewes D., Seidel H.-P.: Shape analysis with subspace symmetries. Computer Graphics Forum Proc. EUROGRAPHICS 30, Volume 2 2011, pp.277-286.

[14]

{BWS10} Bokeloh M., Wand M., Seidel H.-P.: A connection between partial symmetry and inverse procedural modeling. ACM Transactions on Graphics Proc. SIGGRAPH 29, Volume 4 2010, pp.104:1-104:10.

Digital Library

[15]

{BWSK12} Bokeloh M., Wand M., Seidel H.-P., Koltun V.: An algebraic model for parameterized shape editing. ACM Transactions on Graphics Proc. SIGGRAPH 31, Volume 4 2012, pp.78:1-78:10.

Digital Library

[16]

{Car76} Carmo M. D.: Differential Geometry of Curves and Surfaces. Prentice Hall, New Jersey, USA 1976.

[17]

{CK10} Chertok M., Keller Y.: Spectral symmetry analysis. IEEE Transactions on Pattern Analysis and Machine Intelligence 32, Volume 7 2010, pp.1227-1238.

Digital Library

[18]

{CM92} Chen Y., Medioni G.: Object modelling by registration of multiple range images. Image and Vision Computing 10, Volume 3 1992, pp.145-155.

Digital Library

[19]

{CML*12} Ceylan D., Mitra N. J., Li H., Weise T., Pauly M.: Factored facade acquisition using symmetric line arrangements. Computer Graphics Forum Proc. EUROGRAPHICS 31, Volume 1 2012, pp.671-680.

Digital Library

[20]

{CP03} Cazals F., Pouget M.: Estimating differential quantities using polynomial fitting of osculating jets. In Proceedings of Symposium of Geometry Processing 2003, pp. pp.177-187.

Digital Library

[21]

{EKS*10} Eigensatz M., Kilian M., Schiftner A., Mitra N. J., Pottmann H., Pauly M.: Paneling architectural freeform surfaces. ACM Transactions on Graphics Proc. SIGGRAPH 29, Volume 3 2010, pp.45:1-45:10.

Digital Library

[22]

{FCODS08} Fu H., Cohen-Or D., Dror G., Sheffer A.: Upright orientation of man-made objects. ACM Transactions on Graphics Proc. SIGGRAPH 27, Volume 3 2008, pp.42:1-42:7.

Digital Library

[23]

{FLHCO10} Fu C.-W., Lai C.-F., He Y., Cohen-Or D.: K-set tilable surfaces. ACM Transactions on Graphics Proc. SIGGRAPH 29, Volume 3 2010, pp.44:1-44:6.

Digital Library

[24]

{GCO06} Gal R., Cohen-Or D.: Salient geometric features for partial shape matching and similarity. ACM Transactions on Graphics 25, Volume 1 2006, pp.130-150.

Digital Library

[25]

{GG04} Gelfand N., Guibas L. J.: Shape segmentation using local slippage analysis. In Proceedings of Symposium of Geometry Processing 2004, pp. pp.214-223.

Digital Library

[26]

{GL12} Giachetti A., Lovato C.: Radial symmetry detection and shape characterization with the multiscale area projection transform. In Proceeding of Symposium of Geometry Processing 2012, pp. pp.1669-1678.

Digital Library

[27]

{GSMCO09} Gal R., Sorkine O., Mitra N. J., Cohen-Or D.: iwires: an analyze-and-edit approach to shape manipulation. ACM Transactions on Graphics Proc. SIGGRAPH 28, Volume 3 2009, pp.1-10.

Digital Library

[28]

{HAWG08} Huang Q.-X., Adams B., Wicke M., Guibas L. J.: Non-rigid registration under isometric deformations. In Proceedings of Symposium of Geometry Processing 2008, pp. pp.1449-1457.

Digital Library

[29]

{HYM13} Halawani S., Yang Y., Mitra H. L. N. J.: Interactive facades: Analysis and synthesis of semi-regular facades. Computer Graphics Forum Proc. EUROGRAPHICS 32, Volume 1 September 2013, in press.

[30]

{JTC11} Jiang N., Tan P., Cheong L. F.: Multi-view repetitive structure detection. In Proceedings of the IEEE International Conference on Computer Vision 2011, pp. pp.535-542.

Digital Library

[31]

{KBW*12} Kolojanov J., Bokeloh M., Wand M., Guibas L., Slusallek P., Seidel H.-P.: Microtiles: Extracting building blocks from correspondences. In Proceedings of Symposium of Geometry Processing 2012.

Digital Library

[32]

{KCD*03} Kazhdan M., Chazelle B., Dobkin D., Funkhouser T., Rusinkiewicz S.: A reflective symmetry descriptor for 3d models. Algorithmica 38, Volume 1 2003, pp.201-225.

Digital Library

[33]

{KFR04} Kazhdan M., Funkhouser T., Rusinkiewicz S.: Symmetry descriptors and 3D shape matching. In Proceedings of Symposium of Geometry Processing 2004, pp. pp.115-123.

Digital Library

[34]

{KHS10} Kalogerakis E., Hertzmann A., Singh K.: Learning 3d mesh segmentation and labeling. ACM Transactions on Graphics Proc. SIGGRAPH 29, Volume 3 2010, pp.102:1-102:12.

Digital Library

[35]

{KLCF11} Kim V., Lipman Y., Chen X., Funkhouser T.: Mobiüs transformations for global intrinsic symmetry analysis. In Proceedings of Symposium of Geometry Processing 2011, pp. pp.1689-1700.

[36]

{Kle93} Klein F.: Vergleichende betrachtungen u"ber neuere geometrische forschungen. Mathematische Annalen 43 1893.

[37]

{KLM*12} Kim V. G., Li W., Mitra N. J., DiVerdi S., Funkhouser T.: Exploring collections of 3d models using fuzzy correspondences. ACM Transactions on Graphics 31, Volume 4 2012, pp.54:1-54:11.

Digital Library

[38]

{LCDF10} Lipman Y., Chen X., Daubechies I., Funkhouser T.: Symmetry factored embedding and distance. ACM Trans. on Graphics Proc. SIGGRAPH 29, Volume 4 2010, pp.103:1-103:12.

Digital Library

[39]

{LF09} Lipman Y., Funkhouser T.: Möbius voting for surface correspondence. ACM Transactions on Graphics Proc. SIGGRAPH 28, Volume 3 2009, pp.72:1-72:12.

Digital Library

[40]

{LKF12} Liu T., Kim V. G., Funkhouser T.: Finding surface correspondences using symmetry axis curves. In Proceedings of Symposium of Geometry Processing 2012, pp. pp.1607-1616.

Digital Library

[41]

{LLZM10} Li G., Liu L., Zheng H., Mitra N. J.: Analysis, reconstruction and manipulation using arterial snakes. ACM Transactions on Graphics Proc. SIGGRAPH ASIA 29, Volume 6 2010, pp.152:1-152:10.

Digital Library

[42]

{LTSW09} Lasowski R., Tevs A., Seidel H.-P., Wand M.: A probabilistic framework for partial intrinsic symmetries in geometric data. In Proceedings of the IEEE International Conference on Computer Vision 2009, pp. pp.963-970.

[43]

{LZS*11} Li Y., Zheng Q., Sharf A., Cohen-Or D., Chen B., Mitra N. J.: 2d-3d fusion for layer decomposition of urban facades. In Proceedings of the IEEE International Conference on Computer Vision 2011, pp. pp.882-889.

Digital Library

[44]

{MBB10} Mitra N. J., Bronstein A., Bronstein M.: Intrinsic regularity detection in 3d geometry. In Proceedings of the European Conference on Computer Vision 2010, pp. pp.398-410.

Digital Library

[45]

{MGP06} Mitra N. J., Guibas L., Pauly M.: Partial and approximate symmetry detection for 3d geometry. ACM Transactions on Graphics Proc. SIGGRAPH 25, Volume 3 2006, pp.560-568.

Digital Library

[46]

{MGP07} Mitra N. J., Guibas L. J., Pauly M.: Symmetrization. ACM Transactions on Graphics Proc. SIGGRAPH 26, Volume 3 2007, pp.63:1-63:8.

Digital Library

[47]

{MGPG04} Mitra N. J., Gelfand N., Pottmann H., Guibas L.: Registration of point cloud data from a geometric optimization perspective. In Proc. of Symp. of Geometry Processing 2004, pp. pp.23-31.

Digital Library

[48]

{MP08} Mitra N. J., Pauly M.: Symmetry for architectural design. In Advances in Architectural Geometry 2008, pp. pp.13-16.

[49]

{MSHS06} Martinet A., Soler C., Holzschuch N., Sillion F.: Accurate detection of symmetries in 3d shapes. ACM Trans. on Graphics 25, Volume 2 2006, pp.439-464.

Digital Library

[50]

{MWH*06} Müller P., Wonka P., Haegler S., Ulmer A., Van Gool L.: Procedural modeling of buildings. ACM Trans. on Graphics Proc. SIGGRAPH 25, Volume 3 2006, pp.614-623.

Digital Library

[51]

{MYY*10} Mitra N. J., Yang Y.-L., Yan D.-M., Li W., Agrawala M.: Illustrating how mechanical assemblies work. ACM Trans. on Graphics Proc. SIGGRAPH 29, Volume 4 2010, pp.58:1-58:12.

Digital Library

[52]

{MZL*09} Mehra R., Zhou Q., Long J., Sheffer A., Gooch A., Mitra N. J.: Abstraction of man-made shapes. ACM Trans. on Graphics Proc. SIGGRAPH 28, Volume 5 2009, pp.137:1-137:10.

Digital Library

[53]

{MZWVG07} Müller P., Zeng G., Wonka P., Van Gool L.: Image-based procedural modeling of facades. ACM Trans. on Graphics Proc. SIGGRAPH 26, Volume 3 2007.

Digital Library

[54]

{NLCK05} Nadler B., Lafon S., Coifman R. R., Kevrekidis I. G.: Diffusion maps, spectral clustering and eigenfunctions of fokker-planck operators. In Advances in Neural Information Processing Systems 2005, pp. pp.955-962.

[55]

{OLGM11} Ovsjanikov M., Li W., Guibas L., Mitra N. J.: Exploration of continuous variability in collections of 3d shapes. ACM Trans. on Graphics Proc. SIGGRAPH 30, Volume 4 2011, pp.33:1-33:10.

Digital Library

[56]

{OSG08} Ovsjanikov M., Sun J., Guibas L.: Global intrinsic symmetries of shapes. In Proc. of Symp. of Geometry Processing 2008, pp. pp.1341-1348.

Digital Library

[57]

{PGR07} Podolak J., Golovinskiy A., Rusinkiewicz S.: Symmetry-enhanced remeshing of surfaces. In Proc. of Symp. of Geometry Processing 2007, pp. pp.235-242.

Digital Library

[58]

{PLPZ12} Panozzo D., Lipman Y., Puppo E., Zorin D.: Fields on symmetric surfaces. ACM Trans. on Graphics Proc. SIGGRAPH 31, Volume 4 July 2012, pp.111:1-111:12.

Digital Library

[59]

{PM01} Parish Y. I. H., Müller P.: Procedural modeling of cities. In Proceedings of SIGGRAPH 2001, pp. pp.301-308.

Digital Library

[60]

{PMG*05} Pauly M., Mitra N. J., Giesen J., Gross M., Guibas L.: Example-based 3d scan completion. In Proc. of Symp. of Geometry Processing 2005, pp. pp.23-32.

Digital Library

[61]

{PMW*08} Pauly M., Mitra N. J., Wallner J., Pottmann H., Guibas L.: Discovering structural regularity in 3D geometry. ACM Trans. on Graphics Proc. SIGGRAPH 27, Volume 3 2008, pp.43:1-43:11.

Digital Library

[62]

{PSG*06} Podolak J., Shilane P., Golovinskiy A., Rusinkiewicz S., Funkhouser T.: A planar-reflective symmetry transform for 3D shapes. ACM Trans. on Graphics Proc. SIGGRAPH 25, Volume 3 2006, pp.549-559.

Digital Library

[63]

{PWY*07} Pottmann H., Wallner J., Yang Y.-L., Lai Y.-K., Hu S.-M.: Principal curvatures from the integral invariant viewpoint. Comput. Aided Geom. Des. 24, Volume 8-9 2007, pp.428-442.

Digital Library

[64]

{RBBK07} Raviv D., Bronstein A. M., Bronstein M. M., Kimmel R.: Symmetries of non-rigid shapes. In Proc. of the IEEE Inter. Conf. on Computer Vision 2007, pp. pp.1-7.

[65]

{RBBK09} Raviv D., Bronstein A. M., Bronstein M. M., Kimmel R.: Full and partial symmetries of non-rigid shapes. Int. Journal of Computer Vision 89, Volume 1 2009, pp.18-39.

Digital Library

[66]

{RBS*10} Raviv D., Bronstein M. M., Sapiro G., Bronstein A. M., Kimmel R.: Diffusion symmetries of non-rigid shapes. In Proc. 3DPVT 2010.

[67]

{Rot94} Rotman J.: An Introduction to the Theory of Groups. 4th edition, Springer, New York, USA, 1994.

[68]

{Rus04} Rusinkiewicz S.: Estimating curvatures and their derivatives on triangle meshes ". In Proceedings of the 3D Data Processing, Visualization, and Transmission, 2nd International Symposium 2004, pp. pp.486-493.

Digital Library

[69]

{Rus07a} Rustamov R. M.: Augmented symmetry transforms. In Proceedings of International Conference on Shape Modeling and Applications 2007, pp. pp.13-20.

Digital Library

[70]

{Rus07b} Rustamov R. M.: Laplace-beltrami eigenfunctions for deformation invariant shape representation. In Proceedings of Symposium of Geometry Processing 2007, pp. pp.225-233.

Digital Library

[71]

{RWY95} Reisfeld D., Wolfson H., Yeshurun Y.: Context free attentional operators: the generalized symmetry transform. International Journal of Computer Vision 14 1995, pp.119-130.

Digital Library

[72]

{SG71} Stiny G., Gips J.: Shape grammars and the generative specification of painting and sculpture. In Proceedings of IFIP Congress 1971.

[73]

{Sha08} Shamir A.: A survey on mesh segmentation techniques. Computer Graphics Forum 27, Volume 6 2008, pp.1539-1556.

[74]

{SKS06} Simari P., Kalogerakis E., Singh K.: Folding meshes: Hierarchical mesh segmentation based on planar symmetry. In Proceedings of Symposium of Geometry Processing 2006, pp. pp.111-119.

Digital Library

[75]

{SMKF04} Shilane P., Min P., Kazhdan M., Funkhouser T.: The princeton shape benchmark. In Proceedings of Shape Modeling International 2004, pp. pp.167-178.

Digital Library

[76]

{SOG09} Sun J., Ovsjanikov M., Guibas L.: A concise and provably informative multi-scale signature based on heat diffusion. In Proceedings of Symposium of Geometry Processing 2009, pp. pp.1383-1392.

Digital Library

[77]

{SS87} Schwartz J. T., Sharir M.: Identification of partially obscured objects in two and three dimensions by matching noisy characteristic curves. International Journal of Robotics Res 6, Volume 2 1987, pp.29-44.

Digital Library

[78]

{SS97} Sun C., Sherrah J.: 3d symmetry detection using the extended gaussian image. IEEE Transactions on Pattern Analysis and Machine Intelligence 19, Volume 2 1997, pp.164-168.

Digital Library

[79]

{SSCO08} Shapira L., Shamir A., Cohen-Or D.: Consistent mesh partitioning and skeletonisation using the shape diameter function. Visual Computer 24, Volume 4 2008, pp.249-259.

Digital Library

[80]

{Tau95} Taubin G.: Estimating the tensor of curvature of a surface from a polyhedral approximation. In Proc. of the IEEE International Conference on Computer Vision 1995, pp. pp.902-907.

Digital Library

[81]

{TMS09} Tzimiropoulos G., Mitianoudis N., Stathaki T.: A unifying approach to moment-based shape orientation and symmetry classification. Transactions on Imgage Processing 18, Volume 1 2009, pp.125-139.

Digital Library

[82]

{TW05} Thrun S., Wegbreit B.: Shape from symmetry. In Proc. of the IEEE International Conference on Computer Vision 2005, pp. pp.1824-1831.

Digital Library

[83]

{vKZHCO11} Van Kaick O., Zhang H., Hamarneh G., Cohen-Or D.: A survey on shape correspondence. Computer Graphics Forum 30, Volume 6 2011, pp.1681-1707.

[84]

{Wey52} Weyl H.: Symmetry. Princeton University Press, Princeton, NJ, USA, 1952.

[85]

{WR97} Wolfson H. J., Rigoutsos I.: Geometric hashing: An overview. IEEE Comput. Sci. Eng. 4, Volume 4 1997, pp.10-21.

Digital Library

[86]

{WXL*11} Wang Y., Xu K., Li J., Zhang H., Shamir A., Liu L., Cheng Z., Xiong Y.: Symmetry hierarchy of man-made objects. Computer Graphics Forum Proc. EUROGRAPHICS 30, Volume 2 2011, pp.287-296.

[87]

{xu2} Xu K., Zhang H., Jiang W., Dyer R., Cheng Z., Liu L., Chen B.: Multi-scale partial intrinsic symmetry detection. ACM Transaction on Graphics Proc. SIGGRAPH ASIA 31, Volume 6 2012, pp.181:1-181:11.

Digital Library

[88]

{XWY*09} Xu W., Wang J., Yin K., Zhou K., Van De Panne M., Chen F., Guo B.: Joint-aware manipulation of deformable models. ACM Transactions on Graphics Proc. SIGGRAPH 28, Volume 3 2009, pp.35:1-35:9.

Digital Library

[89]

{XZT*09} Xu K., Zhang H., Tagliasacchi A., Liu L., Li G., Meng M., Xiong Y.: Partial intrinsic reflectional symmetry of 3D shapes. ACM Transactions on Graphics Proc. SIGGRAPH 28, Volume 5 2009, pp.138:1-138:10.

Digital Library

[90]

{ZCOM13} Zheng Y., Cohen-Or D., Mitra N. J.: sfarr: Functional substructures for part compatibility. Computer Graphics Forum Proc. EUROGRAPHICS 32, Volume 1 September 2013.

[91]

{ZPA*95} Zabrodsky H., Peleg S., Avnir D.: Symmetry as a continuous feature. IEEE Transactions on Pattern Analysis and Machine Intelligence 17, Volume 12 1995, pp.1154-1166.

Digital Library

[92]

{ZSW*10} Zheng Q., Sharf A., Wan G., Li Y., Mitra N. J., Cohen-Or D., Chen B.: Non-local scan consolidation for 3d urban scenes. ACM Transactions on Graphics Proc. SIGGRAPH 29, Volume 3 2010, pp.94:1-94:9.

Digital Library

Cited By

Knodt JGao X(2025)Texture Size Reduction Through Symmetric Overlap and Texture CarvingACM Transactions on Graphics10.1145/371440844:1(1-20)Online publication date: 25-Jan-2025
https://dl.acm.org/doi/10.1145/3714408
Je JLiu JYang GDeng BCai SWetzstein GLitany OGuibas L(2024)Robust Symmetry Detection via Riemannian Langevin DynamicsSIGGRAPH Asia 2024 Conference Papers10.1145/3680528.3687682(1-11)Online publication date: 3-Dec-2024
https://dl.acm.org/doi/10.1145/3680528.3687682
Tang KWang ZPeng WHuang LWang LZhu PWang WTian ZCai JKankanhalli MPrabhakaran BBoll SSubramanian RZheng LSingh VCesar PXie LXu D(2024)SymAttack: Symmetry-aware Imperceptible Adversarial Attacks on 3D Point CloudsProceedings of the 32nd ACM International Conference on Multimedia10.1145/3664647.3681181(3131-3140)Online publication date: 28-Oct-2024
https://dl.acm.org/doi/10.1145/3664647.3681181
Show More Cited By

Symmetry in 3D Geometry: Extraction and Applications
1. Computing methodologies
  1. Artificial intelligence
    1. Computer vision
  2. Computer graphics
2. Theory of computation
  1. Randomness, geometry and discrete structures

Recommendations

Partial and approximate symmetry detection for 3D geometry

"Symmetry is a complexity-reducing concept [...]; seek it every-where." - Alan J. PerlisMany natural and man-made objects exhibit significant symmetries or contain repeated substructures. This paper presents a new algorithm that processes geometric ...
Partial and approximate symmetry detection for 3D geometry
SIGGRAPH '06: ACM SIGGRAPH 2006 Papers

"Symmetry is a complexity-reducing concept [...]; seek it every-where." - Alan J. PerlisMany natural and man-made objects exhibit significant symmetries or contain repeated substructures. This paper presents a new algorithm that processes geometric ...
A Reflective Symmetry Descriptor for 3D Models

Computing reflective symmetries of 2D and 3D shapes is a classical problem in computer vision and computational geometry. Most prior work has focused on finding the main axes of symmetry, or determining that none exists. In this paper we introduce a new ...

Comments

Please enable JavaScript to view thecomments powered by Disqus.

Information & Contributors

Information

Published In

cover image Computer Graphics Forum

Computer Graphics Forum Volume 32, Issue 6

September 2013

251 pages

ISSN:0167-7055

EISSN:1467-8659

Issue’s Table of Contents

Publisher

The Eurographs Association & John Wiley & Sons, Ltd.

Chichester, United Kingdom

Publication History

Published: 01 September 2013

Author Tags

Qualifiers

Article

Contributors

Other Metrics

View Article Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

67
Total Citations
View Citations
0
Total Downloads

Downloads (Last 12 months)0
Downloads (Last 6 weeks)0

Reflects downloads up to 03 Mar 2025

Other Metrics

View Author Metrics

Citations

Cited By

Knodt JGao X(2025)Texture Size Reduction Through Symmetric Overlap and Texture CarvingACM Transactions on Graphics10.1145/371440844:1(1-20)Online publication date: 25-Jan-2025
https://dl.acm.org/doi/10.1145/3714408
Je JLiu JYang GDeng BCai SWetzstein GLitany OGuibas L(2024)Robust Symmetry Detection via Riemannian Langevin DynamicsSIGGRAPH Asia 2024 Conference Papers10.1145/3680528.3687682(1-11)Online publication date: 3-Dec-2024
https://dl.acm.org/doi/10.1145/3680528.3687682
Tang KWang ZPeng WHuang LWang LZhu PWang WTian ZCai JKankanhalli MPrabhakaran BBoll SSubramanian RZheng LSingh VCesar PXie LXu D(2024)SymAttack: Symmetry-aware Imperceptible Adversarial Attacks on 3D Point CloudsProceedings of the 32nd ACM International Conference on Multimedia10.1145/3664647.3681181(3131-3140)Online publication date: 28-Oct-2024
https://dl.acm.org/doi/10.1145/3664647.3681181
Wang GLaga HSrivastava A(2024)Elastic Shape Analysis of Tree-Like 3D Objects Using Extended SRVF RepresentationIEEE Transactions on Pattern Analysis and Machine Intelligence10.1109/TPAMI.2023.333452546:4(2475-2488)Online publication date: 1-Apr-2024
https://dl.acm.org/doi/10.1109/TPAMI.2023.3334525
Xiao HHe YLiu HKang WLi Y(2024)Point Cloud Completion via Self-Projected View Augmentation and Implicit Field ConstraintIEEE Transactions on Circuits and Systems for Video Technology10.1109/TCSVT.2024.342477634:11_Part_2(11564-11578)Online publication date: 8-Jul-2024
https://dl.acm.org/doi/10.1109/TCSVT.2024.3424776
Mu ALiu ZDuan GTan J(2024)Structural regularity detection and enhancement for surface mesh reconstruction in reverse engineeringComputer-Aided Design10.1016/j.cad.2024.103780177:COnline publication date: 1-Dec-2024
https://dl.acm.org/doi/10.1016/j.cad.2024.103780
Kita N(2024)PackMolds: computational design of packaging molds for thermoformingThe Visual Computer: International Journal of Computer Graphics10.1007/s00371-024-03462-840:7(4689-4700)Online publication date: 1-Jul-2024
https://dl.acm.org/doi/10.1007/s00371-024-03462-8
Cai PZhang CShi LWang LImanpour NWang S(2024)EINet: Point Cloud Completion via Extrapolation and InterpolationComputer Vision – ECCV 202410.1007/978-3-031-73661-2_21(377-393)Online publication date: 29-Sep-2024
https://dl.acm.org/doi/10.1007/978-3-031-73661-2_21
Shui WWei PZheng XGeng S(2023)A Landmark-free Approach for Surface Asymmetry Detection and Profile Drawings from Bilaterally Symmetrical GeometryJournal on Computing and Cultural Heritage 10.1145/358924716:2(1-18)Online publication date: 28-Mar-2023
https://dl.acm.org/doi/10.1145/3589247
Shi YXu XXi JHu XHu DXu K(2023)Learning to Detect 3D Symmetry From Single-View RGB-D Images With Weak SupervisionIEEE Transactions on Pattern Analysis and Machine Intelligence10.1109/TPAMI.2022.318687645:4(4882-4896)Online publication date: 1-Apr-2023
https://dl.acm.org/doi/10.1109/TPAMI.2022.3186876
Show More Cited By

View Options

View options

Figures

Tables

Media

View Issue’s Table of Contents