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 potential power that computational symmetry affords, we offer this survey to the computer vision and computer graphics communities. This survey provides a succinct summary of the relevant mathematical theory, a historic perspective of some important symmetry-related ideas, a partial yet timely report on the state of the arts symmetry detection algorithms along with its first quantitative benchmark, a diverse set of real world applications, suggestions for future directions and a comprehensive reference list.
Product Identifiers
Publisher
Now Publishers Inc
ISBN-13
9781601983640
eBay Product ID (ePID)
106481457
Product Key Features
Author
Luc Van Gool, Yanxi Liu, Craig S. Kaplan, Hagit HEL-Or
Publication Name
Computational Symmetry in Computer Vision and Computer Graphics
Format
Paperback
Language
English
Subject
Computer Science
Publication Year
2010
Type
Textbook
Number of Pages
210 Pages
Dimensions
Item Height
234mm
Item Width
156mm
Item Weight
303g
Additional Product Features
Title_Author
Hagit HEL-Or, Luc Van Gool, Yanxi Liu, Craig S. Kaplan
Series Title
Foundations and Trends (R) in Computer Graphics and Vision