Before revision: In this method, the particle velocity is locally affine, mathematically expressed as Illustration of the affine velocity field of material point p (the arrows represent the projected velocity at the node)|348x224px where the parameters are defined as shown here below indicates the translational speed represents the emission matrix， and represent the pattern of horizontal and vertical stretching models, respectively, while and represent the pattern of clockwise and counterclockwise shear motion models, respectively.
After revision: \mathbf{VIn this method, the particle velocity is locally affine, mathematically expressed as Illustration of the affine velocity field of material point p (the arrows represent the projected velocity at the node)|348x224px where the parameters are defined as shown here below indicates the translational speed represents the emission matrix， and represent the pattern of horizontal and vertical stretching models, respectively, while and represent the pattern of clockwise and counterclockwise shear motion models, respectively.