Regularized kelvinlets

Fernando De Goes, Doug L. James
2017 ACM Transactions on Graphics  
Fig. 1. Regularized Kelvinlets: Examples of expressions generated by regularized Kelvinlets, a novel approach for sculpting that provides space deformations with real-time feedback and interactive volume control based on closed-form analytical solutions of linear elasticity. ©Disney/Pixar We introduce a new technique for real-time physically based volume sculpting of virtual elastic materials. Our formulation is based on the elastic response to localized force distributions associated with
more » ... n modeling primitives such as grab, scale, twist, and pinch. The resulting brush-like displacements correspond to the regularization of fundamental solutions of linear elasticity in in nite 2D and 3D media. These deformations thus provide the realism and plausibility of volumetric elasticity, and the interactivity of closed-form analytical solutions. To nely control our elastic deformations, we also construct compound brushes with arbitrarily fast spatial decay. Furthermore, pointwise constraints can be imposed on the displacement eld and its derivatives via a single linear solve. We demonstrate the versatility and e ciency of our method with multiple examples of volume sculpting and image editing.
doi:10.1145/3072959.3073595 fatcat:jqcodasoczbjthfwbqneubpzgu