Self-Similarity of Space Filling Curves
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| Format: | Artículo científico |
| Langue: | en |
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Universidad del Valle
2016
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| _version_ | 1876484538731855872 |
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| author | Luis F. Cardona |
| author_facet | Luis F. Cardona |
| contents | Self-Similarity of Space Filling Curves Luis F. Cardona Luis E. Múnera Ingeniería self Space Fractals similarity Filling Curves We define exact self-similarity of Space Filling Curves on the plane. For that purpose, we adapt the general definition of exact self-similarity on sets, a typical property of fractals, to the specific characteristics of discrete approximations of Space Filling Curves. We also develop an algorithm to test exact selfsimilarity of discrete approximations of Space Filling Curves on the plane. In addition, we use our algorithm to determine exact self-similarity of discrete approximations of four of the most representative Space Filling Curves. We found that SFCs like Moore’s based on recursive structure are actually not selfsimilar, highlighting the need to establish a formal definition of the concept for SFCs. 2016 artículo científico 0123-3033 https://www.redalyc.org/articulo.oa?id=291346311010 en http://www.redalyc.org/revista.oa?id=2913 Ingeniería y Competitividad application/pdf Universidad del Valle Ingeniería y Competitividad (Colombia) Num.2 Vol.18 |
| format | Artículo científico |
| id | redalyc_291346311010 |
| institution | Redalyc |
| language | en |
| publishDate | 2016 |
| publisher | Universidad del Valle |
| spellingShingle | Self-Similarity of Space Filling Curves Luis F. Cardona Ingeniería self Space Fractals similarity Filling Curves Self-Similarity of Space Filling Curves Luis F. Cardona Luis E. Múnera Ingeniería self Space Fractals similarity Filling Curves We define exact self-similarity of Space Filling Curves on the plane. For that purpose, we adapt the general definition of exact self-similarity on sets, a typical property of fractals, to the specific characteristics of discrete approximations of Space Filling Curves. We also develop an algorithm to test exact selfsimilarity of discrete approximations of Space Filling Curves on the plane. In addition, we use our algorithm to determine exact self-similarity of discrete approximations of four of the most representative Space Filling Curves. We found that SFCs like Moore’s based on recursive structure are actually not selfsimilar, highlighting the need to establish a formal definition of the concept for SFCs. 2016 artículo científico 0123-3033 https://www.redalyc.org/articulo.oa?id=291346311010 en http://www.redalyc.org/revista.oa?id=2913 Ingeniería y Competitividad application/pdf Universidad del Valle Ingeniería y Competitividad (Colombia) Num.2 Vol.18 |
| title | Self-Similarity of Space Filling Curves |
| topic | Ingeniería self Space Fractals similarity Filling Curves |
| url | https://www.redalyc.org/articulo.oa?id=291346311010 |