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- Lacunarity abstract "Lacunarity, from the Latin lacuna meaning \"gap\" or \"lake\", is a specialized term in geometry referring to a measure of how patterns, especially fractals, fill space, where patterns having more or larger gaps generally have higher lacunarity. Beyond being an intuitive measure of gappiness, lacunarity can quantify additional features of patterns such as \"rotational invariance\" and more generally, heterogeneity. This is illustrated in Figure 1 showing three fractal patterns. When rotated 90°, the first two fairly homogeneous patterns do not appear to change, but the third more heterogeneous figure does change and has correspondingly higher lacunarity. The earliest reference to the term in geometry is usually attributed to Mandelbrot, who, in 1983 or perhaps as early as 1977, introduced it as, in essence, an adjunct to fractal analysis. Lacunarity analysis is now used to characterize patterns in a wide variety of fields and has application in multifractal analysis in particular (see Applications).".
- Lacunarity thumbnail Rotational_Invariance_Example.gif?width=300.
- Lacunarity wikiPageExternalLink index.html.
- Lacunarity wikiPageExternalLink heterogeneity.
- Lacunarity wikiPageID "18931487".
- Lacunarity wikiPageLength "17205".
- Lacunarity wikiPageOutDegree "15".
- Lacunarity wikiPageRevisionID "679421633".
- Lacunarity wikiPageWikiLink Box_counting.
- Lacunarity wikiPageWikiLink Category:Geometry.
- Lacunarity wikiPageWikiLink Digital_autopsy.
- Lacunarity wikiPageWikiLink Fractal.
- Lacunarity wikiPageWikiLink Fractal_analysis.
- Lacunarity wikiPageWikiLink Fractal_dimension.
- Lacunarity wikiPageWikiLink Geometry.
- Lacunarity wikiPageWikiLink Seismology.
- Lacunarity wikiPageWikiLink Spatial_analysis.
- Lacunarity wikiPageWikiLink Wikt:lacuna.
- Lacunarity wikiPageWikiLink File:Fixedstack.gif.
- Lacunarity wikiPageWikiLink File:Rotational_Invariance_Example.gif.
- Lacunarity wikiPageWikiLink File:Rotational_Invariance_rotated.gif.
- Lacunarity wikiPageWikiLink File:Slidestack.gif.
- Lacunarity wikiPageWikiLinkText "Lacunarity".
- Lacunarity wikiPageWikiLinkText "lacunarity analysis".
- Lacunarity wikiPageWikiLinkText "lacunarity".
- Lacunarity wikiPageUsesTemplate Template:Clarify.
- Lacunarity wikiPageUsesTemplate Template:EquationNote.
- Lacunarity wikiPageUsesTemplate Template:EquationRef.
- Lacunarity wikiPageUsesTemplate Template:NumBlk.
- Lacunarity wikiPageUsesTemplate Template:Reflist.
- Lacunarity subject Category:Geometry.
- Lacunarity hypernym Term.
- Lacunarity type Field.
- Lacunarity comment "Lacunarity, from the Latin lacuna meaning \"gap\" or \"lake\", is a specialized term in geometry referring to a measure of how patterns, especially fractals, fill space, where patterns having more or larger gaps generally have higher lacunarity. Beyond being an intuitive measure of gappiness, lacunarity can quantify additional features of patterns such as \"rotational invariance\" and more generally, heterogeneity. This is illustrated in Figure 1 showing three fractal patterns.".
- Lacunarity label "Lacunarity".
- Lacunarity sameAs Q2771020.
- Lacunarity sameAs 空隙性.
- Lacunarity sameAs Лакунарност.
- Lacunarity sameAs Lacunaritie.
- Lacunarity sameAs Lakunarność.
- Lacunarity sameAs m.04jk97_.
- Lacunarity sameAs Лакунарність.
- Lacunarity sameAs Q2771020.
- Lacunarity wasDerivedFrom Lacunarity?oldid=679421633.
- Lacunarity depiction Rotational_Invariance_Example.gif.
- Lacunarity isPrimaryTopicOf Lacunarity.