Time Complexity of algorithms that update the Sierpiński-like and Modified Hilbert Curves
نویسندگان
چکیده
This paper presents the time complexity of two algorithms that update space-filling curves of adaptively refined domains. The Modified Hilbert (space-filling) Curve was proposed to traverse square-shaped adaptive-refined meshes. Whereas, the Sierpiński-like (space-filling) Curve was proposed in order to traverse triangular-shaped adaptive-refined meshes. Those curves are variations of the namesimilar well-known space-filling curves, i.e. the Hilbert Curve and the Sierpiński Curve. Moreover, they are adapted from those classical curves that traverse regular discretized domains. This paper describes the asymptotic tight bounds of algorithms that update the Sierpiński-like and the Modified Hilbert Curves space-filling curves.
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