2019
DOI: 10.18517/ijaseit.9.6.9480
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New Method for Estimating Fractal Dimension in 3D Space and Its Application to Complex Surfaces

Abstract: The concept of "surface modeling" generally describes the process of representing a physical or artificial surface by a geometric model, namely a mathematical expression. Among the existing techniques applied for the characterization of a surface, terrain modeling relates to the representation of the natural surface of the Earth. Cartographic terrain or relief models as threedimensional representations of a part of the Earth's surface convey an immediate and direct impression of a landscape and are much easier… Show more

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Cited by 7 publications
(2 citation statements)
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“…In the present research study, the main geomorphometric parameters of fan surface were derived by DEMs and were evaluated with the ML method and a new hybrid Euler graph method for classification and prediction purposes. The new hybrid Euler graph method connected four methods, random forest (RF) [13], genetic programming (GP), support vector machine (SVM) [14], and neural network (NN), of intelligent systems into one [15][16][17][18]. In order to outline the advantages of the proposed method, as illustrated afterward in this article, two theoretical concepts that have oriented the methodological setup of the study can be briefly highlighted as follows: machine learning and graph theory.…”
Section: Introductionmentioning
confidence: 99%
“…In the present research study, the main geomorphometric parameters of fan surface were derived by DEMs and were evaluated with the ML method and a new hybrid Euler graph method for classification and prediction purposes. The new hybrid Euler graph method connected four methods, random forest (RF) [13], genetic programming (GP), support vector machine (SVM) [14], and neural network (NN), of intelligent systems into one [15][16][17][18]. In order to outline the advantages of the proposed method, as illustrated afterward in this article, two theoretical concepts that have oriented the methodological setup of the study can be briefly highlighted as follows: machine learning and graph theory.…”
Section: Introductionmentioning
confidence: 99%
“…Fractals can be used to model the structures of nerve networks, circulatory systems, lungs, and even DNA [11]. Fractal geometry has been demonstrated to be a powerful tool for solving important problems in applied science [12]. Much more physical fractal systems are being rapidly known.…”
Section: Introductionmentioning
confidence: 99%