Tilings and patterns
Digital image processing (2nd ed.)
Digital image processing (2nd ed.)
On the Detection of the Axes of Symmetry of Symmetric and Almost Symmetric Planar Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Perceptual grouping for generic recognition
International Journal of Computer Vision - Special issue on computer vision research at the University of Southern California
Symmetry Detection by Generalized Complex (GC) Moments: A Close-Form Solution
IEEE Transactions on Pattern Analysis and Machine Intelligence
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Symmetry as a Continuous Feature
IEEE Transactions on Pattern Analysis and Machine Intelligence
Robust analysis of feature spaces: color image segmentation
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
IEEE Transactions on Computers
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This paper presents an analysis tool, part of an integrated management system for pattern design in the textile and tile industries, that provides automatic cataloguing capabilities based on the application of the scientific theory of symmetry groups. To do this, a process of analysis is performed which starts from an initial digitized image of the decorative element, which in turn is subjected to a number of segmentation and labelling operators that allow to detect the objects present in the image. These objects are vectorized, compared, and their isometries obtained; subsequently they are grouped and the isometries of the groups of objects detected. Finally, a composition analysis is carried out that, on the basis of the repetitions and symmetry axes existing in the design, provides the fundamental parallelogram and the plane symmetry group. This paper summarizes the results obtained from processing 95 pattern designs using the analysis tool developed by the authors.