The dynamic simulation of mechanical effects has a long history in computer graphics. The classical methods in this field discretize Newton's second law in a variety of Lagrangian or Eulerian ways, and formulate forces appropriate for each mechanical effect: joints for rigid bodies; stretching, shearing, or bending for deformable bodies; and pressure, or viscosity for fluids, to mention just a few. In the last years the class of position-based methods has become popular in the graphics community. These kinds of methods are fast, stable and controllable which make them well-suited for use in interactive environments. Position-based methods are not as accurate as force-based methods in general but they provide visual plausibility. Therefore, the main application areas of these approaches are virtual reality, computer games and special effects in movies.

This state-of-the-art report covers the large variety of position-based methods that were developed in the field of physically-based simulation. We will introduce the concept of position-based dynamics, present dynamic simulation based on shape matching and discuss data-driven upsampling approaches. Furthermore, we will present several applications for these methods.

@Article\{BMOTM14,
  author       = "Bender, Jan and Müller, Matthias and Otaduy, Miguel A. and Teschner, Matthias and Macklin, Miles",
  title        = "A Survey on Position-Based Simulation Methods in Computer Graphics",
  journal      = "Computer Graphics Forum",
  year         = "2014",
  url          = "http://gmrv.es/Publications/2014/BMOTM14"
}