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・ Lacuna smithii
・ Lacuna succinea
・ Lacuna turneri
・ Lacuna turrita
・ Lacuna uchidai
・ Lacuna unifasciata
・ Lacuna variegata
・ Lacuna vincta
・ Lacunae of Morgagni
・ Lacunal scales
・ Lacunar amnesia
・ Lacunar ligament
・ Lacunar stroke
・ Lacunaria
・ Lacunaria panamensis
Lacunarity
・ Lacunary function
・ Lacunary value
・ Lacunoides
・ Lacunoides exquisitus
・ Lacunoides vitreus
・ Lacunolabial scale
・ Lacunospora
・ Lacuri River
・ Lacurile
・ Lacus
・ Lacus Aestatis
・ Lacus Autumni
・ Lacus Bonitatis
・ Lacus Clyne


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Lacunarity : ウィキペディア英語版
Lacunarity

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).
== Measuring lacunarity ==
In many patterns or data sets, lacunarity is not readily perceivable or quantifiable, so computer-aided methods have been developed to calculate it. As a measurable quantity, lacunarity is often denoted in scientific literature by the Greek letters \Lambda or \lambda but it is important to note that there is no single standard and several different methods exist to assess and interpret lacunarity.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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