In this section, applications are within this range 0 <H< 1 and we use 2D fBm Hölder different functions (polynomial [49–51] and exponential [49–51]) that take as input the points (x, y) of the dataset and provide as output the desired regularity; these functions are used to show the dataset singularities:

 (a) A polynomial of degree n is a function of the form

$equation$

where a0, ..., n are constant values.

 (b) The general definition of the exponential function is[52]

$equation$

where e is the natural logarithm base, x0

Get Computational Methods for Data Analysis now with O’Reilly online learning.

O’Reilly members experience live online training, plus books, videos, and digital content from 200+ publishers.