人体血管系的迭代仿真方法
Iterative simulation of human blood vessel system
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摘要: 该文从整体和局部两方面对人体冠状动脉血管系进行了描述,提出了球坐标参数互约束方法来构造心脏模型,以此对仿真冠状动脉的空间分布进行控制;结合血管系的最优化原理,建立了冠状动脉分叉模式规则库;然后借鉴分形理论中的选代函数系统思想,对每一种分叉模式赋以一定概率进行冠状动脉的迭代仿真.为了使仿真结果更加形象逼真,在迭代过程中引入了一些随机变量,在最后实验中取得了很好的效果。Abstract: This paper describes the coronary arteries of human being macroscopically and locally, and proposes a method named parameter co-restriction of spherical coordinate to model the heart, which is used to control the spatial configuration of coronary arteries. Then combining the optimum principle of vessel system, a rule-base of vessel bifurcations is built. Finally, the coronary arteries can be simulated by choosing one of the bifurcate modes according to the given probability in each iterated course, which is induced from the idea of iterated function system in fractal theory. At the same time, some random variables are also introduced to make the simulating result more vivid, and the experiment indicates the validity of this method.
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