论文标题
用动力学方法求解的分形曲线的反问题
The inverse problem for fractal curves solved with the dynamical approach method
论文作者
论文摘要
本文的目的是提出一种确定平面曲线分形结构的新方法的主要应用。它集中在反问题上，即在平面中呈曲线，找到其分形维度。结果表明，动态方法将曲线的表征扩展为一个分形对象，引入了质量密度，弹性特性和横向几何形状的影响。动力学维度表征了材料对象，并建议通过此处介绍的方法可以更加完整生物特征。
The purpose of the present paper is to present the main applications of a new method for the determination of the fractal structure of plane curves. It is focused on the inverse problem, that is, given a curve in the plane, find its fractal dimension. It is shown that the dynamical approach extends the characterization of a curve as a fractal object introducing the effects of mass density, elastic properties, and transverse geometry. The dynamical dimension characterizes material objects and suggests that biological characterization can be much more complete with the methodology presented here.
