TY - JOUR
TI - Self-Similarity of Space Filling Curves
PB - Universidad del Valle
PY - 2016
issn 0123-3033
AB - 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.
KW - Self - Similarity
KW - Auto - Similaridad
KW - Test
KW - Space Filling Curve - SFC
KW - Teoria fractal
KW - Automatización y sistemas de control
KW - Ingeniería de sistemas y comunicaciones
KW - Telecomunicaciones
KW - Telecommunication
UR - http://hdl.handle.net/10906/81435
ER -