IEEE Rev Biomed Eng. 2018;11:143-164. doi: 10.1109/RBME.2017.2773521. Epub 2017 Nov 14.
This paper presents a survey of the state-of-the-art deformable models studied in the literature, with regard to soft tissue deformable modeling for interactive surgical simulation. It first introduces the challenges of surgical simulation, followed by discussions and analyses on the deformable models, which are classified into three categories: the heuristic modeling methodology, continuum-mechanical methodology, and other methodologies. It also examines linear and nonlinear deformable modeling, model internal forces, and numerical time integrations, together with modeling of soft tissue anisotropy, viscoelasticity, and compressibility. Finally, various issues in the existing deformable models are discussed to outline the remaining challenges of deformable models in surgical simulation.
本文对文献中研究的先进变形模型进行了调查，涉及交互式手术模拟中的软组织变形建模。它首先介绍了手术模拟的挑战，然后对变形模型进行了讨论和分析，将其分为三类：启发式建模方法、连续力学方法和其他方法。它还检查了线性和非线性变形建模、模型内力和数值时间积分，以及软组织各向异性、粘弹性和可压缩性的建模。最后，讨论了现有变形模型中的各种问题，以概述手术模拟中变形模型的剩余挑战。
