Extracting Unit Cells from Tilings with Color Symmetries Case of Counterchange Patterns

Adanova, Venera
Tarı, Zehra Sibel
In this work, we present a novel computer method for obtaining units cells and symmetry operations required to analyze the tiling, without assuming the knowledge of the underlying symmetry group.
Bridges 2016


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A computational implementation for assigning perceptual meaning and significance to the points in the symmetry is presented. The coloring scheme allows recovery of the features of interest such as the shape skeletons from the complicated symmetry representation. The method is applicable to arbitrary data including color and multi-modality images. On the computational side, for a 256 × 256 binary image, two minutes on a low-end Pentium machine is enough to compute both the distance function and the colored n...
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A novel method for simultaneous image segmentation and shape decomposition is presented. The method may be applied directly to grayscale images. The method is based on the analysis of the level curves of an ''edge-strength'' function which is a measure of boundaryness of the image at each point.
Derivation and analysis of near field tofar field transformation algorithm for spherical scanning
Korkmaz, Hülya; Koç, Seyit Sencer; Department of Electrical and Electronics Engineering (2019)
This thesis focuses on the improvement of a far field transformation algorithm of spherical near field scanning by using different quadrature techniques for numerical integration process. In this thesis, spherical vector wave expansion of E field is studied and numerical calculation for expansion coefficients of E field is performed. In the scope of this study quadrature techniques like Gauss, Trapezoid and Simpsons are investigated and advantages and disadvantages of these techniques are discussed. A decis...
Extraction of target poles from electromagnetic scatter signals by using page distribution for target recognition Hedef tanima amaci ile page daǧilimi kullanarak elektromanyetik saçilim sinyallerinden kutup çikarimi
Seçmen, Mustafa; Sayan, Gönül; Hizal, Altunkan (2005-12-01)
In this paper, we work on the electromagnetic target recognition problem based on the scattered field measurements. These measurements were obtained both in frequency and time domains by using two 0.8-12 GHz horn antennas in bistatic position and HP8720D vector network analyzer. First, the theory of electromagnetic scattering from a target and singularity expansion method (SEM) are summarized. The importance of complex natural resonance frequencies (CNR) in identification problem is discussed in this part. ...
Citation Formats
V. Adanova and Z. S. Tarı, “Extracting Unit Cells from Tilings with Color Symmetries Case of Counterchange Patterns,” 2016, p. 453, Accessed: 00, 2021. [Online]. Available: http://archive.bridgesmathart.org/2016/bridges2016-453.pdf.