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Lacunarity analysis: A general technique for the analysis of spatial patterns

1996/05/01 by Roy E. Plotnick, Robert H. Gardner, William W. Hargrove +2 · 577 citations
Physics and Astronomy · Earth and Planetary Sciences · Mathematics · #Theoretical and Computational Physics #Geology and Paleoclimatology Research #Tree-ring climate responses #Lacunarity #Multifractal system #Fractal analysis #Fractal #Computer science #Binary number #Box counting #Spatial analysis #Spatial dispersion #Statistical physics #Fractal dimension #Pattern recognition (psychology) #Artificial intelligence #Mathematics #Statistics #Physics #Optics #Mathematical analysis

paper · doi:10.1103/physreve.53.5461

published in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics 53(5), 5461-5468 (American Physical Society)

openalex publication_date 1996/05/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/02

Abstract

Lacunarity analysis is a multiscaled method for describing patterns of spatial dispersion. It can be used with both binary and quantitative data in one, two, and three dimensions. Although originally developed for fractal objects, the method is more general and can be readily used to describe nonfractal and multifractal patterns. Lacunarity analysis is broadly applicable to many data sets used in the natural sciences; we illustrate its application to both geological and ecological data. \textcopyright 1996 The American Physical Society.

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