Frieze and Wallpaper Symmetry Groups Classification under Affine and Perspective Distortion
Explore this paper's citation graph
Summary
Precise classification of 2D repeated patterns in terms of their symmetry groups provides a computational means for image indexing, image matching, object recognition, and motion recovery.
- Type
- article
- Published
- 1999-01-01
- Cited by
- 16
- References
- 30
- OpenAlex
- https://openalex.org/W125615315
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:16285604
Keywords
Mathematics, Affine transformation, Perspective (graphical), Symmetry (geometry), Affine space
References
- International Tables for X-Ray Crystallography
- Transformation Geometry: An Introduction to Symmetry
- Ueber Gruppen von Bewegungen
- The Grammar of Ornament
- The 17 plane symmetry groups
- Symmetry groups and their applications
- Geometric Grouping of Repeated Elements within Images
- Symmetry in Science and Art
- Tilings and Patterns
- The Plane Symmetry Groups: Their Recognition and Notation
- Recovery of the Three-Dimensional Shape of an Object from a Single View
- The Image Processing Handbook, second edition. By John C Russ
- On characterizing ribbons and finding skewed symmetries
- A Course in Modern Geometries
- The Characterization and Detection of Skewed Symmetry
- Symmetry as a Continuous Feature
- Extracting periodicity of a regular texture based on autocorrelation functions
- Comments on "Symmetry as a Continuous Feature"
- Mirror and point symmetry under perspective skewing
- Matching perspective views of coplanar structures using projective unwarping and similarity matching
Cited by
- Development of a perception oriented texture-based image retrieval system for wallpapers.
- Mathematical methods of signal processing
- Symmetry detection and approximation
- Computational Symmetry in Computer Vision and Computer Graphics
- On Symmetry and Multiple-View Geometry: Structure, Pose, and Calibration from a Single Image
- A computational model for periodic pattern perception based on frieze and wallpaper groups
- A computational model for repeated pattern perception using frieze and wallpaper groups
- Geometry-driven feature detection
- Analysis of Planar Ornament Patterns via Motif Asymmetry Assumption and Local Connections
- Generative Infills for Additive Manufacturing Using Space-Filling Polygonal Tiles
- The aesthetics of frieze patterns: Effects of symmetry, motif, and element size
- Verification of NP-hardness Reduction Functions for Exact Lattice Problems
- Development of Malay Deli Songket Motifs Based on Symmetry Groups
- Frieze Pattern on Siak Weaving Motifs and Their Implementation in Mathematics Learning
- An Analysis of Frieze Patterns, Crystallographic Patterns, and Philosophical Values on Subahnale Woven Motifs Sukarare Village
- Periodic Pattern Analysis under Affine Distortions Using Wallpaper Groups
- Gait Sequence Analysis Using Frieze Patterns
Related papers
- A computational model for repeated pattern perception using frieze and wallpaper groups
- Matching Interest Points Using Affine Invariant Concentric Circles
- On Affine Invariant Descriptors Related to SIFT
- A New Method for Recognition Partially Occluded Curved Objects under Affine Transformation
- Improved image recognition and registration algorithm based on convex hull and affine invariant
- Generalized affine moment invariants for object recogn
- Recognize The Similarity Between Shapes Under Affine Transformation
- Affine consistency graphs for image representation and elastic matching
- Covering the Space of Tilts. Application to Affine Invariant Image Comparison