Affine body dynamics: Fast, stable & intersection-free simulation of stiff materials

L Lan, DM Kaufman, M Li, C Jiang, Y Yang - arxiv preprint arxiv …, 2022 - arxiv.org
Simulating stiff materials in applications where deformations are either not significant or can
safely be ignored is a pivotal task across fields. Rigid body modeling has thus long …

[PDF][PDF] Second-order stencil descent for interior-point hyperelasticity

M LI, C JIANG - ACM Trans. Graph, 2023 - wanghmin.github.io
Newton's method has been a popular choice [Baraff and Witkin 1998] for solving the
variational form [Kane et al. 2000; Martin et al. 2011] associated with various deformable …

Simple and scalable frictional contacts for thin nodal objects

G Daviet - ACM Transactions on Graphics (TOG), 2020 - dl.acm.org
Frictional contacts are the primary way by which physical bodies interact, yet they pose
many numerical challenges. Previous works have devised robust methods for handling …

6-DoF haptic rendering using continuous collision detection between points and signed distance fields

H Xu, J Barbič - IEEE transactions on haptics, 2016 - ieeexplore.ieee.org
We present an algorithm for fast continuous collision detection between points and signed
distance fields, and demonstrate how to robustly use it for 6-DoF haptic rendering of contact …

A brief overview of collision detection

R Weller, R Weller - New Geometric Data Structures for Collision Detection …, 2013 - Springer
Collision detection algorithms has been investigated since decades. Consequently, there
already exist a wide spectrum of different approaches. In this chapter, we give a broad …

Primal/dual descent methods for dynamics

M Macklin, K Erleben, M Müller… - Computer Graphics …, 2020 - Wiley Online Library
We examine the relationship between primal, or force‐based, and dual, or constraint‐based
formulations of dynamics. Variational frameworks such as Projective Dynamics have proved …

An introduction to physics-based animation

AW Bargteil, T Shinar, PG Kry - SIGGRAPH Asia 2020 Courses, 2020 - dl.acm.org
Physics-based animation has emerged as a core area of computer graphics finding
widespread application in the film and video game industries as well as in areas such as …

Subspace-preconditioned gpu projective dynamics with contact for cloth simulation

X Li, Y Fang, L Lan, H Wang, Y Yang, M Li… - SIGGRAPH Asia 2023 …, 2023 - dl.acm.org
We propose an efficient cloth simulation method that combines the merits of two drastically
different numerical procedures, namely the subspace integration and parallelizable iterative …

Velocity level approximation of pressure field contact patches

J Masterjohn, D Guoy, J Shepherd… - IEEE Robotics and …, 2022 - ieeexplore.ieee.org
Pressure Field Contact (PFC) was recently introduced as a method for detailed modeling of
contact interface regions at rates much faster than elasticity-theory models, while at the …

Robust contact generation for robot simulation with unstructured meshes

K Hauser - Robotics Research: The 16th International Symposium …, 2016 - Springer
This paper presents a numerically stable method for rigid body simulation of unstructured
meshes undergoing forceful contact, such as in robot locomotion and manipulation. The key …