Quadric error metrics for mesh simplification based on feature matrix

Contraposing the some deficiencies from the algorithm based on quadric error metrics (QEM), such as neglect of some cusp features and excessive simplification in some parts of the model, a QEM based on eigenmatrix was proposed for mesh simplification. Through introducing the curvature and edge length of a vertex into this new QEM to optimize error metrics, the eigenmatrix can easily distinguish the vertexes of a model, improve the error metrics of the vertexes in the areas with obvious geometric features. Therefore, the folding sequences of edge can be adjusted, so that some sharp features of the object can be preserved. Comparing with QEM algorithm, the simulation results show that the proposed approach can not only keep merits such as high executing speed and running efficiency, but also overcome the shortcoming to easily lose some important features of models because of mesh distribution too equality.