使用可塑性进行大菌株表面建模
IEEE transactions on visualization and computer graphics
|June 27, 2023
概括
这项研究引入了一种新的方法,用于使用微分几何来建模大表面变形. 该方法确保了复杂的形状变化的平滑和稳定的结果,克服了现有技术的局限性.
科学领域:
- 计算机图形 计算机图形
- 计算几何学的计算几何学
- 不同几何学微分几何学
背景情况:
- 嵌入式表面的大型变形的建模在计算上具有挑战性.
- 现有的方法往往会在相当大的压力下产生尖刺或动等工件.
- 需要一个强大的方法来顺利处理大,空间变化的旋转和应变.
研究的目的:
- 开发一种用于表示经历大变形的表面的新方法.
- 为了确保稳定和顺的结果,没有特殊处理大菌株和旋转.
- 为了实现复杂物质行为现实的模拟.
主要方法:
- 使用微分几何和表面基本形式 (第一和第二).
- 确保局部兼容性条件 (高斯-柯达齐方程) 稳定性.
- 定义表面的塑性变形和最小化顶点位置的弹性能量.
主要成果:
- 拟议的方法自然支持大菌株和旋转,没有文物.
- 证明了三角形网格的光滑变形导致大张变和旋转.
- 在变形模拟过程中成功满足了用户定义的约束.
结论:
- 这种新方法为建模大表面变形提供了一种稳定而流的方法.
- 兼容性条件对于实现现实且无工件的结果至关重要.
- 这项技术推进了在3D空间中模拟复杂的几何转换.
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