Abstract

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.KeywordsSymmetry GroupPattern DesignGeometrical FormRotation CentreBezier CurveThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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