A Gentle Introduction to Box-Counting
<p>Box-counting is an empirical technique we use to estimate the fractal dimension of an object, image, or set. It is based on a simple idea — we cover the object with increasingly smaller boxes and then count the number of boxes that are required to cover the object at each respective scale. The measurement obtained in this fashion is referred to as the “box-counting dimension” or “Minkowski dimension” of the object we’re studying.</p>
<p>If the object is fractal in nature, the relationship between the size of our measuring box and the count of the number of occupied boxes will obey a <a href="https://medium.com/cantors-paradise/fractal-structure-in-john-coltranes-countdown-6f6a90c3117e#9cf8" rel="noopener">power-law</a>. </p>
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