Balloon expansion animation simulation method based on finite element method

Abstract

The invention discloses a balloon expansion animation simulation method based on a finite element method. The method comprises the following steps of: setting intensity of pressure of gas, balloon density, and balloon initial thickness, reading data from an obj model as un-deformed shape of the balloon, wherein the data comprise junction position and triangle information; performing pre-computation on the model, namely computing the quality of each junction, initial volume of the balloon and the like; calculating out each junction elasticity and gas pressure based on the finite element method, and calculating out the position and speed of each junction at next time by Newton-Raphson iteration method; correcting the calculated out the new position and speed by a volume keeping algorithm, in the way, the volume of the balloon is accordant with the initial volume; rendering the model by POV-Ray software as the image of the next frame; performing the calculation of the next frame by using the new result as the current position, until the balloon is stable and does not deform again. The method disclosed by the invention is simple and efficient, is applicable to deformation of a volume-keeping thin-shell model; and the relatively real expansion effect of the balloon and different effects of balloon with different thicknesses during deformation can be realized.

Description

technical field [0001] The invention belongs to the field of computer graphics, and in particular relates to a balloon expansion animation simulation method based on a finite element method. Background technique [0002] With the rapid development of computers, physics-based simulation is widely used in games, animation, and film and television special effects, such as the movement of rigid bodies, the movement of fluids such as water flow, the deformation of deformed bodies such as muscles and skin, and the dynamic simulation of cloth and hair. In the simulation of deformable bodies, the simulation of the thin-shell model is a major difficulty, and the balloon is a typical thin-shell model, and it is a thin-shell model with large deformation. [0003] The thin shell model is very similar to the thin plate model in that they are objects whose thickness is much smaller than the other two dimensions. Shell models are distinguished from thin plate models by the shape in the un...

AI Technical Summary

Problems solved by technology

These unique properties further add to the difficulty of balloon deformation simulations, which cannot be achieved with current methods

Images