P24

A unified descent framework

A unified descent framework

P25

✅ 图形学中更关注 Total Cost. 让 P 更加接近 H，可以减少迭代数，让 P 更容易得到，减少迭代成本。
Traction：物体表面上的力的密度，有点像压强

P27

After-Class Reading

Wang. 2016. Descent Methods for Elastic Body Simulation on the GPU. TOG (SIGGRAPH Asia).

P28

A Summary For the Day

  • We can calculate the Hessian of the FEM elastic energy based on SVD derivatives.

  • The goal of doing this is for implicit time integration.

  • Fundamentally, the goal is to solve a nonlinear optimization.

    • Gradient Descent, Newton’s method, and others can all be considered as descent methods.
    • The key question is the matrix for calculating the search direction.
    • We need both the per-iteration cost and the number of iterations to be small.

✅ 模拟的公式通常都固定，很难有突破、瓶颈在于计算量、随着分辨率的提升，模拟的计算量几乎是无止境的。

本文出自CaterpillarStudyGroup，转载请注明出处。

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