Computational symmetry in computer vision and computer graphics

Yanxi Liu, Hagit Hel-Or, Craig S. Kaplan, Luc Van Gool

Research output: Contribution to journalArticlepeer-review

143 Scopus citations


In the arts and sciences, as well as in our daily lives, symmetry has made a profound and lasting impact. Likewise, a computational treatment of symmetry and group theory (the ultimate mathematical formalization of symmetry) has the potential to play an important role in computational sciences. Though the term computational symmetry was formally defined a decade ago by the first author, referring to algorithmic treatment of symmetries, seeking symmetry from digital data has been attempted for over four decades. Computational symmetry on real world data turns out to be challenging enough that, after decades of effort, a fully automated symmetry-savvy system remains elusive for real world applications. The recent resurging interests in computational symmetry for computer vision and computer graphics applications have shown promising results. Recognizing the fundamental relevance and

Original languageEnglish (US)
Pages (from-to)1-195
Number of pages195
JournalFoundations and Trends in Computer Graphics and Vision
Issue number1-2
StatePublished - 2010

All Science Journal Classification (ASJC) codes

  • Computer Vision and Pattern Recognition


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