Computational symmetry in computer vision and computer graphics

Y Liu, H Hel-Or, CS Kaplan… - Foundations and Trends …, 2010 - nowpublishers.com
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 …

Reflection and rotation symmetry detection via equivariant learning

A Seo, B Kim, S Kwak, M Cho - Proceedings of the IEEE …, 2022 - openaccess.thecvf.com
The inherent challenge of detecting symmetries stems from arbitrary orientations of
symmetry patterns; a reflection symmetry mirrors itself against an axis with a specific …

Beyond planar symmetry: Modeling human perception of reflection and rotation symmetries in the wild

C Funk, Y Liu - … of the IEEE international conference on …, 2017 - openaccess.thecvf.com
Humans take advantage of real world symmetries for various tasks, yet capturing their
superb symmetry perception mechanism with a computational model remains elusive …

Skewed rotation symmetry group detection

S Lee, Y Liu - IEEE Transactions on Pattern Analysis and …, 2009 - ieeexplore.ieee.org
We present a novel and effective algorithm for affinely skewed rotation symmetry group
detection from real-world images. We define a complete skewed rotation symmetry detection …

Self-similarity and points of interest

J Maver - IEEE transactions on pattern analysis and machine …, 2009 - ieeexplore.ieee.org
In this work, we present a new approach to interest point detection. Different types of
features in images are detected by using a common computational concept. The proposed …

Spectral symmetry analysis

M Chertok, Y Keller - IEEE Transactions on Pattern Analysis …, 2010 - ieeexplore.ieee.org
We present a spectral approach for detecting and analyzing rotational and reflectional
symmetries in n-dimensions. Our main contribution is the derivation of a symmetry detection …

Multi-scale kernel operators for reflection and rotation symmetry: further achievements

S Kondra, A Petrosino, S Iodice - Proceedings of the IEEE …, 2013 - cv-foundation.org
Symmetry is a crucial dimension which aids the visual system, human as well as artificial, to
organize its environment and to recognize forms and objects. In humans, detection of …

Robust detectors of rotationally symmetric shapes based on novel semi-shape signatures

TP Nguyen, TT Nguyen - Pattern Recognition, 2023 - Elsevier
Efficient detectors of rotationally symmetric shapes are proposed by introducing a novel
concept of semi-shape signatures to overcome the main problem of projection-based …

Architectural pattern detection and modeling in images

L Quan, P Zhao - US Patent 9,036,915, 2015 - Google Patents
Systems and methods are provided to facilitate architectural modeling. In one aspect,
repetitive patterns are automatically detected and analyzed to generate modeled structural …

A rotation symmetry group detection technique for the characterization of Islamic Rosette Patterns

A Nasri, R Benslimane - Pattern Recognition Letters, 2015 - Elsevier
The purpose of this paper is to detect and characterize geometric rosettes which are among
many different star-like motifs used in the most common Islamic Geometric Patterns. Based …