Journal of Navigation and Port Research 2014;38(1):45-52.
Published online February 28, 2014.
새로운 샘플링법에 기초한 프랙탈 차원 추정자의 정도 개선
진강규, 최동식
Performance Improvement of Fractal Dimension Estimator Based on a New Sampling Method
Gang-Gyoo Jin, Dong-Sik Choi
Abstract
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×N window, the proposed method expands to N×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.
Key Words: 삼각프리즘법 digital elevation model(DEM);fractal dimension;data sampling;triangular prism method
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