A fast mass spring model solver for high-resolution elastic objects

Fast and accurate nonlinear hyper‐elastic deformation with a posteriori numerical verification of the convergence of solution: Application to the simulation of liver deformation

“…An adaptive implicit circumsphere collision detection and resolution based on local geometry characteristics and material properties, which is a much faster alternative for polygon collision tests. Zheng et al, 4 projected the complex surface geometry model into a set of uniform grid cells as cages via the medium cage coordinate method to reflect its internal structure and mechanical properties. They replaced the original Cholesky decomposition method in the fast mass spring model solver by a conjugate gradient method, which can make the fast mass spring model solver more efficient for detailed surface geometry models.…”

“…Modeling plays a very important role in real-time simulation where there are several models. 6 Mass-spring models 4,5,21 have proven characteristics of high speed and perfect efficiency, where the deformation of elastic objects are obtained by calculating the mechanical variations of the springs. Saidi et al 22 offered an improvement of MSM where they adapt the time steps integration according to the spring stiffness.…”

“…In this work, we propose an approach that reduces the computational complexity of processing deformation with a balanced trade‐off between speed and accuracy. Recently, different approaches have been proposed to accelerate and keep the accuracy of the nonlinear deformations 4,5 . These approaches use different discretized models to represent the organs.…”

“…Recently, different approaches have been proposed to accelerate and keep the accuracy of the nonlinear deformations. 4,5 These approaches use different discretized models to represent the organs. Usually it is either finite element, 6 mass-spring 7 or meshless models.…”