Title :
Study on calculation models of curve fractal dimension
Author :
Li, Bin ; Xu, Yonglong ; Zhang, Jinhui ; Cui, Long
Author_Institution :
Coll. of Geol. Eng. & Geomatics, Chang´´an Univ., Xi´´an, China
Abstract :
Aiming at problems and dilemma in traditional computational model of curve´s fractal dimension, in this paper, we took the curves of Xi´an typical ground fissures, Weihe River in Xi´an Segments and Chang´an-Lintong fault in Xi´an Segment as examples to calculate fractal dimensions, explored and proposed the correction model of utility for computing model of curve fractal dimension that is realistic and convenient. The numerical calculations and theoretical analysis show that: this model of computing curve fractal dimension is not only reliable, stable and sensitive, but also superb in consistencies and convergences, which can be widely applied to calculate and research various types of curve fractal dimension.
Keywords :
convergence of numerical methods; cracks; curve fitting; fractals; Chang-Lintong fault; Weihe river; Xi segments; Xi typical ground fissures; convergence; curve fractal dimension; dilemma; utility correction model; Adaptation model; Computational modeling; Fractals; Geologic measurements; Length measurement; Support vector machines; correction model; curve fractal dimension; distribution characteristics; geometric patterns; string variable model; swatch curves;
Conference_Titel :
Natural Computation (ICNC), 2010 Sixth International Conference on
Conference_Location :
Yantai, Shandong
Print_ISBN :
978-1-4244-5958-2
DOI :
10.1109/ICNC.2010.5584690
