CAJ | 학술논문

对多重分形计算过程的影响因素进行了研究，发现运用盒子覆盖法计算多重分形谱时，盒子移动的初始方向对结果影响较明显。针对这一问题，提出了一种改进的多重分形计算方法，即在选取合适的参数和考虑盒子尺度变化的同时，加入了盒子相对位置这一影响因素，将盒子在不同初始位置时得到的维数平均值作为维数值，进而以 Weierstrass函数为例，将运用改进算法得到的维数值与理论维数值进行了对比。分析结果表明，运用改进的多重分形计算方法所得的结果在准确性和稳定性方面均有明显提高。
대다중분형계산과정적영향인소진행료연구，발현운용합자복개법계산다중분형보시，합자이동적초시방향대결과영향교명현。침대저일문제，제출료일충개진적다중분형계산방법，즉재선취합괄적삼수화고필합자척도변화적동시，가입료합자상대위치저일영향인소，장합자재불동초시위치시득도적유수평균치작위유수치，진이이 Weierstrass함수위례，장운용개진산법득도적유수치여이론유수치진행료대비。분석결과표명，운용개진적다중분형계산방법소득적결과재준학성화은정성방면균유명현제고。
The multi-fractal calculation of impact factors in the process is investigated in this pa-per,and the calculation results show that the initial moving direction of the box has a pronounced influence on the target when a calculation of multifractal spectrum is carried out with the box cov-ering method.In view of this,this paper presents an improved method of multi-fractal computa-tion,namely considering the relative position of box druing appropriate computation parameters are selected and the box scale is changed,defineing the average dimension as the valve of dimen-sion obtained from different initial positions of box simultaneously.Finally the Weierstrass func-tion is given as an example to validate the improved algorithm,and in comparision with the initial calculation results,the improved algorithm achieves more reliable accuracy and stability.