计算机应用 ›› 2013, Vol. 33 ›› Issue (11): 3220-3223.

• 多媒体处理技术 • 上一篇    下一篇

宣纸上的墨水扩散模拟

范东云,李海晟   

  1. 华东师范大学 计算机科学技术系,上海 200241
  • 收稿日期:2013-05-13 修回日期:2013-07-23 出版日期:2013-11-01 发布日期:2013-12-04
  • 通讯作者: 李海晟
  • 作者简介:范东云(1989-),男,江西吉安人,硕士研究生,主要研究方向:计算机图形学;李海晟(1968-),男,浙江东阳人,副教授,主要研究方向:图形图像的变形、3D建模与绘制。

Simulation of ink diffusion on Xuan paper

FAN Dongyun,LI Haisheng   

  1. Department of Computer Science and Technology, East China Normal University, Shanghai 200241, China
  • Received:2013-05-13 Revised:2013-07-23 Online:2013-12-04 Published:2013-11-01
  • Contact: LI Haisheng

摘要: 墨水扩散是一个复杂的物理现象,针对墨水在宣纸上的扩散模拟问题,提出了一个基于变系数扩散方程的模拟方法,其扩散系数由宣纸结构和随时间而减少的剩余墨水量决定。模拟分为两个阶段:宣纸结构的模拟和墨水扩散动态过程的模拟。为了模拟宣纸结构,使用一种由权重不同且方向随机的直线段均匀分布而成的加权纤维结构。墨水扩散的动态过程由变系数扩散方程来阐述,为了高效地生成扩散图像,使用Crank-Nicolson数值方法求解墨水扩散方程,并且预计算纤维结构和动态更新扩散图像。与以往类似的模拟方法相比,该方法能够生成更加自然的扩散边界,并有效地解决了边界过于平滑的问题。实验结果表明该方法能够真实地模拟不同宣纸上的墨水扩散效果。

关键词: 宣纸结构, 墨水扩散, 扩散模拟, 加权纤维结构, 变系数扩散方程

Abstract: Ink diffusion is a complex physical phenomenon. Concerning the problem of simulating ink diffusion on Xuan paper, this paper proposed a simulation method based on diffusion equation with variable coefficient, and its diffusion coefficient depended on Xuan paper structure and the residue of ink which reduced with time. There were two steps for simulation: simulating Xuan paper structure and simulating the dynamic procedure of diffusion. To simulate Xuan paper structure, a weighting fiber structure was proposed, which consisted of uniformly distributed line segments with different weights and random directions. The dynamic procedure of ink diffusion was described by the diffusion equation. To generate the diffusion image efficiently, Crank-Nicolson method was used to solve the diffusion equation, fiber structure was pre-computed, and the diffusion image was updated dynamically. Compared with the previous similar simulation methods, this method rendered more natural diffusion boundary, and overcame the problem of excessively smooth boundary. The experimental results demonstrate that this approach is able to simulate the effects of ink diffusion on different Xuan paper realistically.

Key words: Xuan paper structure, ink diffusion, diffusion simulation, weighting fiber structure, diffusion equation with variable coefficient

中图分类号: