P2

Topics for the Day

• A Mass-Spring System
  • Explicit Integration
  • Implicit Integration
• Bending and Locking Issues
• Shape matching

构建弹簧网络

P6

Structured Spring Networks

✅ 绿线：防止斜方向的拉伸。蓝线：防止翻折。

P7

Unstructured Spring Networks

We can also turn an unstructured triangle mesh into a spring network for simulation.

✅ 蓝线：抵抗弯曲。对每条内部边，加这样一根弹簧。

P8

怎样基于三角形Mesh增加蓝线弹簧

The basic representation of a triangle mesh uses vertex and triangle lists.

✅ 已知边的信息，需找出内部边，例如\(\mathbf{x}_0\mathbf{x}_3\)，因此要基于此构造边：\(\mathbf{x}_1x 4\)
✅ Each triangle has three edges. But there are repeated ones. Repeated edges就是内部边。
✅ 1. 找出内部边。2. 找出内部边所属于的两个三角形。3. 找出两个三角形上不在这条内部边上的点。4. 连续一根弹簧。

Vertex list: {\(\mathbf{x} _0, \mathbf{x}_1, \mathbf{x}_2, \mathbf{x}_3, \mathbf{x}_4\)} (3D vectors)

Triangle list: {1, 2, 3, 0, 1, 3, 0, 3, 4} (index triples)

The key to topological construction is to sort triangle edge triples.

Each triple contains: edge vertex index 0, edge vertex index 1 and triangle index (index 0<index).

✅ 排序：基于边排序，排序后相同边会靠在一起

本文出自CaterpillarStudyGroup，转载请注明出处。

https://caterpillarstudygroup.github.io/GAMES103_mdbook/