An elastic deformation simulation method based on linear differential operator

Abstract

The invention discloses an elastic deformation simulation method based on a linear differential operator. The invention comprises the following steps of using elastic energy based on the linear differential operator defined on the geometric attribute of a deformation gridding model to replace the traditional nonlinear energy based on continuum mechanics, carrying out modeling computation using Euler-Lagrange equation to compute the deformation process of the elastic object in the computer. Meanwhile, according to the calculation model, the invention optimizes the calculation process via further using the techniques of dimension reduction solution, airspace adaptive acceleration, etc, which allows the modeling process to reach the mutual or even real time efficiency and can simulate the elasticity of different materials and the deformation process of plastic objects. The invention reduces the calculation complexity, improves the calculation efficiency of the modeling solution, and keeps the living simulating effect via the model of transform solution based on the deformation energy form of the linear differential operator. The invention solves the rapid simulating problem in the deformation process of the elastic object in the real time or in a mutual virtual simulation system.

Description

technical field [0001] The invention relates to computer animation simulation simulation of elastic object deformation, in particular to an elastic deformation simulation method based on linear differential operator. technical background [0002] Many methods often obtain the deformation results of 3D models through physics-based elastic body simulation. The advantage is not only that highly realistic deformation results can be obtained, but also that motion sequences can be obtained to meet the needs of computer animation. Simulation speed, stability, and error during large deformation are the most critical issues. In general, various algorithms are looking for a balance between performance and effect. The methods based on physical laws can be roughly divided into methods based on linear elastic models and methods based on nonlinear elastic models. The selection of the elastic model is closely related to the solution strategy of the equation of motion and affects each ot...

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Problems solved by technology

However, although the method based on this model has high precision, the calculation is very complicated and extremely time-consuming, and cannot be used for real-time or interactive simulation applications.

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