The DOI matches its Crossref record; 83 of the 83 references it cites were found in a registry or an index.
Symmetry in 3D Geometry: Extraction and Applications
Open accessAbstract
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.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
A method for registration of 3-D shapes
Besl, P. J., & McKay, N. D. (1992) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/34.121791 · Cited by 18,103
Differential geometry of curves and surfaces
(2011) · Choice Reviews Online · doi:10.5860/choice.48-3330 · Cited by 3,706
Object modelling by registration of multiple range images
Chen, Y., & Medioni, G. (1992) · Image and Vision Computing · doi:10.1016/0262-8856(92)90066-c · Cited by 3,154
A Concise and Provably Informative Multi‐Scale Signature Based on Heat Diffusion
Sun, J., Ovsjanikov, M., & Guibas, L. (2009) · Computer Graphics Forum · doi:10.1111/j.1467-8659.2009.01515.x · Cited by 1,450
Shilane, P., Min, P., Kazhdan, M., & Funkhouser, T. (2004) · Proceedings Shape Modeling Applications, 2004. · doi:10.1109/smi.2004.1314504 · Cited by 1,419
An Introduction to the Theory of Groups
Rotman, J. J. (1995) · Graduate Texts in Mathematics · doi:10.1007/978-1-4612-4176-8 · Cited by 1,307
Procedural modeling of buildings
Müller, P., Wonka, P., Haegler, S., Ulmer, A., & Van Gool, L. (2006) · ACM Transactions on Graphics · doi:10.1145/1141911.1141931 · Cited by 950
Differential Geometry of Curves and Surfaces
Banchoff, T., & Lovett, S. (2016) · Chapman & Hall/CRC eBooks · doi:10.1201/b18913 · Cited by 836
Nonlocal Image and Movie Denoising
Buades, A., Coll, B., & Morel, J.-M. (2008) · International Journal of Computer Vision · doi:10.1007/s11263-007-0052-1 · Cited by 769
Weyl, H. (1952) · Princeton University Press eBooks · doi:10.1515/9781400874347 · Cited by 767
Cited by
Shape2Pose: human-centric shape analysis
Kim, V. G., Chaudhuri, S., Guibas, L., & Funkhouser, T. (2014) · ACM Transactions on Graphics · doi:10.1145/2601097.2601117 · Cited by 112
Recent Advancements in Learning Algorithms for Point Clouds: An Updated Overview
Camuffo, E., Mari, D., & Milani, S. (2022) · Sensors · doi:10.3390/s22041357 · Cited by 73
3D Reconstruction of Incomplete Archaeological Objects Using a Generative Adversarial Network
Hermoza, R., & Sipiran, I. (2018) · Proceedings of Computer Graphics International 2018 · doi:10.1145/3208159.3208173 · Cited by 56
Metadata
- Authors
- Mitra, N. J., Pauly, M., Wand, M., & Ceylan, D.
- Venue
- Computer Graphics Forum
- Publisher
- Wiley
- Published
- 2013-02-04
- Volume
- 32
- Issue
- 6
- Pages
- 1-23
- ISSN
- 0167-7055 (ISSN-L)
- 1467-8659
- OpenAlex
- W1580065766
- Cited by
- 307
- References
- 83
- FWCI
- 35.38
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Symmetry in 3D Geometry: Extraction and Applications. https://app.cochat.ai/papers/10.1111/cgf.12010
- The paper
- Mitra, N. J., Pauly, M., Wand, M., & Ceylan, D. (2013). Symmetry in 3D Geometry: Extraction and Applications. Computer Graphics Forum. https://doi.org/10.1111/cgf.12010
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.