The fractal dimension (FD) is a quantitative parameter that characterizes the morphometric variability of a complex object

A fractal is an object that has the features of self-similarity and scale invariance. The FD of an object in a metric space is defined as:

where N(E) is the number of squares of side E required to cover the object

Our software calculate the 3DFD by box-counting technique in a very efficient way.

Among other applications, FD has been used to identify abnormalities of the human brain in conventional magnetic resonance imaging (MRI), including white matter abnormalities in patients with Multiple Sclerosis (MS). It has been previously demonstrated than the FD can serve as a surrogate marker of the degree of brain damage, due to its sensitivity not only to changes in normal cerebral aging, but also in pathological processes such as multiple sclerosis, schizophrenia, attention deficit disorder, cerebellar morphological changes, stroke, and motor deficits.

See "Related Publications" section for more information.