A Balloon Inflation Animation Simulation Method Based on Finite Element Method

Abstract

The invention discloses a balloon inflation animation simulation method based on the finite element method: set the gas pressure, balloon density, and initial thickness of the balloon, and read data from the obj model as the undeformed shape of the balloon, including node positions and triangle information ;Precalculate the model, including calculating the mass of each node, the initial volume of the balloon, etc.; calculate the elastic force and gas pressure of each node based on the finite element method, and use the Newton-Raphson iterative method to calculate the next The position and speed at each moment; apply the volume-preserving algorithm to correct the new position and speed, so that the volume of the balloon is consistent with the initial volume; use POV-Ray software to render the model as the image of the next frame; use the new result as the current Position, calculate the next frame until the balloon stabilizes and no longer deforms. The invention is simple and efficient, can be commonly used in the deformation of volume-preserving thin-shell models, and can realize more realistic expansion effects of balloons and different effects of balloons with different thicknesses in deformation.

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...

Images