New Method for Estimating Fractal Dimension in 3D Space and Its Application to Complex Surfaces

• DOI: 10.18517/ijaseit.9.6.9480
• Publication Date: 2020-01-17T16:38:46Z
• Authors: Matej Babic; George Ch. Miliar...; Matjaz Mikos; Rita Ambu; Michele Calì
• Keywords: Representation; Hurst exponent; Characterization; Geometric Modeling

The concept of “surface modeling” generally describes the process representing a physical or artificial surface by geometric model, namely mathematical expression. Among existing techniques applied for characterization surface, terrain modeling relates to representation natural Earth. Cartographic relief models as three-dimensional representations part Earth's convey an immediate and direct impression landscape are much easier understand than two-dimensional models. This paper addresses major problem in complex evaluation consisting their topography comparison among different textures, which can be relevant areas research. A new algorithm is presented that allows calculating fractal dimension images surfaces. method used characterize surfaces compare characteristics. proposed computes 3D space with average component Hurst exponent H, while estimated evaluate, Various both methods were analyzed results compared. study confirms known coordinates it possible describe its structure. proved ideal tool measuring complexity various considered.