• Journal of the Korean Institute of Intelligent Systems
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• v.23 no.2
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• pp.93-99
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• 2013

Fractal theory has been adopted as an effective tool for modelling complex and irregular natural phenomena facing in the fields of Computer Science, Engineering, Medical, Climatology and so on. In this paper, we presents an algorithm which enhances the performance of the triangular prism method(TPM) which has been widely used for fractal dimension extraction of natural terrains and images. For this, existing sampling methods are analyzed and a new sampling method which takes their merits is proposed. The effectiveness of the proposed algorithm is tested on fractal terrain maps and its performance is compared with that of other methods.

• Journal of Navigation and Port Research
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• v.38 no.1
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• pp.45-52
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• 2014

Fractal theory has been widely used to quantify the complexity of remotely sensed digital elevation models and images. Despite successful applications of fractals to a variety of fields including computer graphics, engineering and geosciences, the performance of fractal estimators depends highly on data sampling. In this paper, we propose an algorithm for computing the fractal dimension based on the triangular prism method and a new sampling method. The proposed sampling method combines existing two methods, that is, the geometric step method and the divisor step method to increase pixel utilization. In addition, while the existing estimation methods are based on $N{\times}M$ window, the proposed method expands to $N{\times}M$ window. The proposed method is applied to generated fractal DEM, Brodatz's image DB and real images taken in the campus to demonstrate its feasibility.

• Geophysics and Geophysical Exploration
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• v.13 no.2
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• pp.169-174
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• 2010

We developed a precise terrain correction program using triangular element method (TEM) for microgravity data processing. TEM calculates gravity attraction of arbitrary polyhedra whose surface is patched by triangles. We showed that TEM can calculate more precise terrain effect than conventional rectangular prism method. We tested the accuracy of TEM on the cone model which has analytic solution. Also, we tested the accuracy of TEM on the slope model, this results showed that there are big differences calculated by TEM and rectangular prsim method (RPM) on slope model. The developed terrain correction program was applied on the gravity data on the southern area near sea shore of Korean peninsula, calculated terrain effect very precisely.