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|
where a0, ..., n are constant values.
|(b)||The general definition of the exponential function is|
where e is the natural logarithm base, x0