A new method of estimation of the box-counting dimension of multivariate objects using space-filling curves

DOI10.1016/j.na.2005.02.011zbMath1221.62088OpenAlexW2104403790MaRDI QIDQ999906

Ewa Skubalska-Rafajłowicz

Publication date: 4 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.02.011

zbMATH Keywords

fractal dimension

Mathematics Subject Classification ID

Multivariate analysis (62H99) Estimation in multivariate analysis (62H12) Point estimation (62F10)

Related Items (7)

BOX-COUNTING DIMENSION COMPUTED BY α-DENSE CURVES ⋮ A cellular automaton model examining the effects of oxygen, hydrogen ions and lactate on early tumour growth ⋮ Using invariants to change detection in dynamical system with chaos ⋮ Fractal dimension for fractal structures: a Hausdorff approach revisited ⋮ Local Detection Of Defects From Image Sequences ⋮ Compound method of time series classification ⋮ Calculating Hausdorff dimension in higher dimensional spaces

Cites Work

• Peano curves and smoothness of functions
• Space-filling curves
• Curves, length, fractal dimension
• Heuristics Based on Spacefilling Curves for Combinatorial Problems in Euclidean Space
• Pattern recognition algorithms based on space-filling curves and orthogonal expansions
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