Non-manifold Level Sets: A multivalued implicit surface representation with applications to self-collision processing

Nathan Mitchell, Mridul Aanjaneya, Rajsekhar Setaluri, Eftychios Sifakis Level sets have been established as highly versatile implicit surface representations, with widespread use in graphics applications including modeling and dynamic simulation. Nevertheless, level sets are often presumed to be limited, compared to explicit meshes, in their ability to represent domains with thin topological features (e.g. narrow […]

TightCCD: Efficient and Robust Continuous Collision Detection using Tight Error Bounds

Zhendong Wang, Min Tang , Ruofeng Tong, and Dinesh Manocha We present a realtime and reliable continuous collision detection (CCD) algorithm between triangulated models that exploits the floating point hardware capability of current CPUs and GPUs. Our formulation is based on Bernstein Sign Classification that takes advantage of the geometry properties of Bernstein basis and […]

Deformable Objects Collision Handling with Fast Convergence

Siwang Li, Zherong Pan, Jin Huang,  Hujun Bao, Xiaogang Jin We present a stable and efficient simulator for deformable objects with collisions and contacts. For stability, an optimization derived from the implicit time integrator is solved in each timestep under the inequality constraints coming from collisions. To achieve fast convergence, we extend the MPRGP based […]

Wetbrush: GPU-based 3D painting simulation at the bristle level

Zhili Chen, Byungmoon Kim, Daichi Ito, Huamin Wang We present a real-time painting system that simulates the interactions among brush, paint, and canvas at the bristle level. The key challenge is how to model and simulate sub-pixel paint details, given the limited computational resource in each time step. To achieve this goal, we propose to […]

A Chebyshev Semi-iterative Approach for Accelerating Projective and Position-based Dynamics

Huamin Wang In this paper, we study the use of the Chebyshev semi-iterative approach in projective and position-based dynamics. Although projective dynamics is fundamentally nonlinear, its convergence behavior is similar to that of an iterative method solving a linear system. Because of that, we can estimate the “spectral radius” and use it in the Chebyshev […]

A Unified Approach for Subspace Simulation of Deformable Bodies in Multiple Domains

Xiaofeng Wu, Rajaditya Mukherjee, Huamin Wang Multi-domain subspace simulation can efficiently and conveniently simulate the deformation of a large deformable body, by constraining the deformation of each domain into a different subspace. The key challenge in implementing this method is how to handle the coupling among multiple deformable domains, so that the overall effect is […]

Expediting Precomputation for Reduced Deformable Simulation

Yin Yang, Dingzeyu Li, Weiwei Xu, Yuan Tian, Changxi Zheng Model reduction has popularized itself for simulating elastic deformation for graphics applications. While these techniques enjoy orders-of-magnitude speedups at runtime simulation, the efficiency of precomputing reduced subspaces remains largely overlooked. We present a complete system of precomputation pipeline as a faster alternative to the classic […]

Fully Momentum-Conserving Reduced Deformable Bodies with Collision, Contact, Articulation, and Skinning

Rahul Sheth, Wenlong Lu, Yue Yu, Ronald Fedkiw We propose a novel framework for simulating reduced deformable bodies that fully accounts for linear and angular momentum conservation even in the presence of collision, contact, articulation, and other desirable effects. This was motivated by the observation that the mere excitation of a single mode in a reduced degree […]

A New Sharp-Crease Bending Element for Folding and Wrinkling Surfaces and Volumes

Saket Patkar, Ning Jin, Ronald Fedkiw We present a novel sharp-crease bending element for the folding and wrinkling of surfaces and volumes. Based on a control curve specified by an artist or derived from internal stresses of a simulation, we create a piecewise linear curve at the resolution of the computational mesh. Then, the key […]

Data-Driven Finite Elements for Geometry and Material Design

Desai Chen, David I.W. Levin, Shinjiro Sueda, Wojciech Matusik Crafting the behavior of a deformable object is difficult—whether it is a biomechanically accurate character model or a new multimaterial 3D printable design. Getting it right requires constant iteration, performed either manually or driven by an automated system. Unfortunately, previous algorithms for accelerating three-dimensional finite element […]