May 13th, 2006, 8:56 am
One good way to quantify the smoothness of a curve is by calculating its Hurst exponent The Hurst exponent tells you how jagged a surface (or a curve) at small length scales. In general, the value is usually between 0 and 1(There are exceptions where the value exceeds 1; this is referred to as "anomalous roughening").The higher the value of the Hurst exponent, the smoother the curve is. Two curves can have different roughness value (which is the standard deviation of the time series) but the same roughness exponent.Regards
Last edited by
zakmoktadir on May 12th, 2006, 10:00 pm, edited 1 time in total.