摘要： 研究了基于莫尔斯理论的离散梯度向量域方法，并将其应用于拓扑可视化。用该方法和流形可视化方法分别演示了Moebius带和海螺并做了分析对比，并介绍了相关理论，分析了如何构造离散梯度向量域，最后完成向量域的演示并给出了实验结果证明其有效性。该方法可直接应用于计算机辅助设计和虚拟模拟的演示。
关键词:
计算机图形学,
可视化,
拓扑,
向量域,
莫尔斯理论
Abstract: The discrete gradient vector filed based on the Morse theory is presented, and is applied to visualization of topologies. This method and another flow visualization way are respectively demonstrated with the Moebius strap and the trumpet shell, the analysis and the compare are presented. The correlative theories are introduced first and then to construct the discrete gradient vector field. Finally the vector filed is visualized, and experiments show the availability of the result, and this method can be used for CAD and VR rendering.
Key words:
Computer graphics,
Visualization,
Topology,
Vector field,
Morse theory
中图分类号:
张丽娜;顾耀林. 一种基于离散梯度向量域的可视化应用研究[J]. 计算机工程, 2006, 32(16): 218-220.
ZHANG Lina;GU Yaolin. Study of Application for Visualization Based on Discrete Gradient Vector Fields[J]. Computer Engineering, 2006, 32(16): 218-220.