最速降线问题
问题： 在只考虑重力作用的情况下，一质点从点 A 沿某条曲线到点 B，问怎样的曲线能使所需时间最短？ ...
Posts
用莫比乌斯带巧解内接矩形问题
问题： 对于任意一条闭合连续曲线，是否总能找到曲线上的四个点，它们构成一个内接矩形？ ...
发明新数学是怎样一种体验
问题： 如何使 $1+2+2^2+\cdots=-1$ 成立？本笔记旨在探讨如何从已知的数学体系中拓展出全新的数学分支。 ...
音乐与测度论有什么关系
问题： 假设一位音乐天才，认为任何频率之比为有理数的一对音符都是悦耳的，那么他是否会觉得所有的音符都是悦耳的？ ...
Linux
Linux 的基础知识 ...
Physically Based Modeling
Based on course note Physically Based Modeling: Principles and Practice ...
Projective Dynamics
Paper review: Projective Dynamics: Fusing Constraint Projections for Fast Simulation Author: Sofien Bouaziz, Sebastian Martin, Tiantian Liu, Ladislav Kavan, Mark Pauly Venue: ACM SIGGRAPH 2014 Core Contribution: Bridges the gap between Continuum Mechanics (FEM) and Position Based Dynamics (PBD) by introducing an unconditionally stable, hyper-fast implicit Euler solver based on a Local/Global alternating optimization framework (Block Coordinate Descent). ...
Position Based Dynamics
This paper Position-Based Simulation Methods in Computer Graphics introduces Position-Based Dynamics (PBD) and compares it with traditional force-based methods. It details the core algorithm, evaluates various solvers, and analyzes specific constraints. Finally, it briefly discusses implementation strategies and practical applications. ...
Physically Based Deformable Models
This paper Physically Based Deformable Models in Computer Graphics outlines the core methods used in computer graphics to produce realistic animations and physical simulations, discussing the benefits and drawbacks of each method while summarizing improvements from related research. Finite element / Difference / Volume methods Mass-spring systems Meshfree methods Coupled particle systems Reduced deformable models (based on modal analysis) ...
Hexo + NexT 博客搭建
基于 Hexo 和 NexT 主题搭建博客 ...