Simulation Method of Human Blood Vessel Growth Based on DLA Model

Currently the generating methods of blood vessel structure are from the trunk to the branch, which is incompatible with the blood vessels growth in natural state and leads to some differences in the construction of human blood vessel model. This paper proposes a fractal algorithm for simulation of human blood vessel growth, namely diffusion-limited aggregation model（DLA） based simulation of human blood vessel growth. Firstly, combining fractal algorithm with constrained optimization, the paper establishes a natural growth method of blood vessel curves with directed motion and Brownian motion; and then generates blood vessel curve structure by using the deterministic zero-sided L system（D0L）, simulates, in the manner from branch to trunk, the fractal graphics condensed mostly in the natural state, which makes the generated blood vessel model more realistic in structure compared with the blood vessel in natural growth. The experiment and analysis with simulated blood vessel growth show that the algorithm is feasible and the precision is guaranteed.