基于流体力学的数字水墨书画系统的研究与设计

Research of Chinese ink Painting Algorithm Based on Fluid Dynamics

该文在Curtis的研究基础上,提出了水墨粒子运移、传输的三层模型,并将流体动力学理论引入水墨粒子在浅水层、墨粒沉积层以及毛细作用层的运移和传输规律的研究,通过Helmholtz-Hodge分解,求解基于Navier-Stokes偏微分方程组的水墨运动模型。以此作为理论基础,设计实现了一个交互式的数字水墨书画系统。实验结果表明,最后形成的仿真效果,水墨画韵味真实。

In this paper,based on Curtis＇s reserarch,we have proposed three-layer model to simulate each individual Chinese Ink wash.We have also introduced the theory of fluid dynamics to the research of migration and transmission laws of the Chinese Ink particles in the shallow water layers,the pigment-deposition layer and he capillary layer.By Helmholtz-Hodge decomposi tion,solving Chinese Ink Motion Model based on the Navier-Stokes partial differential equations.At the same time,we have de signed a fast interactive Chinese ink painting softwate.The experimental results show that the simulation result is full of Chinese ink flavor.