High-resolution interaction with corotational coarsening models

Abstract

This paper presents a numerical coarsening method for corotational elasticity, which enables interactive large deformation of high-resolution heterogeneous objects. Our method derives a coarse elastic model from a high-resolution discretization of corotational elasticity with high-resolution boundary conditions. This is in contrast to previous coarsening methods, which derive a coarse elastic model from an unconstrained high-resolution discretization of regular linear elasticity, and then apply corotational computations directly on the coarse setting. We show that previous approaches fail to handle high-resolution boundary conditions correctly, suffering accuracy and robustness problems. Our method, on the other hand, supports efficiently accurate high-resolution boundary conditions, which are fundamental for rich interaction with high-resolution heterogeneous models. We demonstrate the potential of our method for interactive deformation of complex medical imaging data sets.

Real2Sim

“…Recently, Torres et al [2016] presented a numerical coarsening scheme for co-rotational linear elasticity including treatment of highresolution boundary conditions. For non-linear materials, Chen et al [2015] introduced a data-driven coarse numerical simulation approach for object design and fabrication.…”

Hands-On Deformation of Volumetric Anatomical Images on a Touchscreen

“…We rely on state-of-the-art techniques [1,2] for the computation of physics-based volumetric image deformation. These techniques combine robust mechanical response with efficient high-resolution deformation.…”

“…The approach was first used with deformations defined on coarse tetrahedral meshes and voxel-level parallelization [43], and it was then accelerated through tetrahedron-level parallelization [2]. Further extensions have considered different deformation models, such as a chain-mail algorithm [44], the corotational coarsening model used in our work [1], or the addition of respiratory models [45].…”

“…Third, in Section 6, we summarize how we drive the deformation of the full anatomy from the transformation of the handle. To this end, we adapt a corotational coarsening deformation method [1] that solves an elastostatic deformation problem on a coarse finiteelement mesh, while respecting the material distribution and boundary conditions imposed on a fine mesh, and then applies the deformation to the embedded medical image through volume resampling [2]. We extend the original corotational coarsening deformation method by supporting additional types of high-resolution boundary conditions, to accommodate handle-based manipulation.…”

Learning Elastic Constitutive Material and Damping Models

“…Kharevych et al [KMOD09] take an energy based approach to coarsening composite elastic objects through the use of global harmonic displacements. Nesme et al [NKJF09] create nonlinear shape functions and projected fine‐level mass, stiffness, and damping matrices to produce coarse composite elements, while Torres et al [TREO16] introduce an improved element based coarsening method that deals with corotation.…”