Position based dynamics

By Matthias Müller, Bruno Heidelberger, M. Hennix, J. Ratcliff. 2007

1,129 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computer Graphics and Computer-Aided Design, Control and Systems Engineering

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In Computational Mechanics

In Computer Graphics and Computer-Aided Design

In Control and Systems Engineering

Citations in the corpus

Learning to Simulate Complex Physics with Graph Networks (2020, methodology): “We chose MPM for the simulator because it can simulate a very wide range of materials, and also has some different properties than PBD and SPH, e.g., particles may become compressed over time.”
SoftGym: Benchmarking Deep Reinforcement Learning for Deformable Object Manipulation (2020, background): “Nvidia’s FleX simulator models deformable objects in a particle and position based dynamical system [40, 41].”
XPBD: position-based simulation of compliant constrained dynamics (2016, methodology): “Position-Based Dynamics [Müller et al. 2007] is a popular method for the real-time simulation of deformable bodies in games and interactive applications.”
Projective dynamics (2014, methodology): “By removing line 7 and changing p i to q n +1 in line 5, we are able to completely recover the structure of the original PBD algorithm [M ¨ uller et al. 2007].”
TailorNet: Predicting Clothing in 3D as a Function of Human Pose, Shape and Garment Style (2020, background): “Many works focus on making simulation efﬁcient [16] by adding wrinkles to low-resolution simulations [15, 25, 26, 55], or using simpler mass-spring models [43] and position based dynamics [38, 37] compromising accuracy and physical correctness for speed.”
Position-Based Simulation Methods in Computer Graphics (2015, methodology): “Müller et al. [MHHR07] handled friction by introducing damping forces applied after the constraint solve.”
A moving least squares material point method with displacement discontinuity and two-way rigid body coupling (2018, background): “Macklin et al. [2013] proposed position-based uids under the position-based dynamics (PBD) framework [Müller et al. 2007] where collisions against boundaries are formulated as nonpenetration constraints.”
Fast simulation of mass-spring systems (2013, methodology): “For our real-time examples, we use fast approximate collision detection based on spatial subdivision [Müller et al. 2007].”
A Survey on 3D Gaussian Splatting (2024, neutral): “One line of work adopts classical schemes such as the material point method (MPM) [84] and position-based dynamics (PBD) [180], and replaces traditional grid or mesh discretizations with 3D Gaussians.”
Simulating knitted cloth at the yarn level (2008, methodology): “In order to resist relative motion between nearby sections of yarn, we damp non-rigid motion [Müller et al. 2006].”