Regularity and modulus of continuity of space-filling curves
نویسندگان
چکیده
منابع مشابه
Unconventional Space-filling Curves
A 2-dimensional space-filling curve, here, is a surjective continuous map from an interval to a 2-dimensional space. To construct a new space-filling curve distinct and much different from Hilbert’s, Peano’s, and the Z-order, we first observe that all three of these curves are based on self-similar fractals–in particular, the recursive definition of the sequences of functions that converge to t...
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ژورنال
عنوان ژورنال: Journal d'Analyse Mathématique
سال: 2019
ISSN: 0021-7670,1565-8538
DOI: 10.1007/s11854-018-0066-3