Research Of Theoretical Models And Applied Technology On Automobile Rearview Mirror

Rearview mirror is a quite important part of an automobile. If there are blind domains and distorted image on the rearview mirror of an automobile that may increase the probability of danger to driver. It is very significant to design a kind of rearview mirror with wide eyeshot and little distortion. Nowadays automobile is more and more popular, and the market of rearview mirror is quite large. So people have designed a lot of new rearview mirrors, of which the most typical type is gradual change curvature rearview mirror. However, these new types are short of the support of mathematical models and dependable theoretical analysis. In this paper we will present a new method and establish a mathematical model of new rearview mirror by analyzing its characteristic. Moreover, we will evaluate the quality of this rearview mirror by theoretical analysis and numerical simulation.The paper consists of two parts: in the first part we study the theory of rearviewmirror. On the basis of Least Squares, we present an improved algorithm ------Moving Least Squares. Moreover, we introduce the applied method of reverse engineer. We will apply Moving Least Squares to rearview mirror. Compared with the method of Least Squares, Moving Least Squares is more predominant. In the second part, we talk about the application of rearview mirror. And we establish the model of rearview mirror by Moving Least Squares and design corresponding algorithm. We apply simulation technique to mathematical model, which can display intuitionally field of vision of rearview mirror. The main research work is listed as follows:In the first chapter, we give research background. Then we point out the key problem and research content that may be solved in our research work.In the second chapter, we present the traditional way of surface fitting ------LeastSquares. We present a kind of amendatory algorithm------Moving Least Squaresbased on Least Squares. Moreover, we analyze explicitly selection of weighted function, reversibility of A matrix, confirm of radius of influencing domain and characteristic of interpolating function and so on.In the third chapter, we present the basis theory of reverse engineer and discussreverse engineering based on characteristic and point out its merit. Moreover, we present an ideology way that will apply reverse technology to seek the parameter of rearview mirror.In the fourth chapter, we apply mathematical model and simulation technique to rearview mirror. Firstly, we get a lot of coordinates of points of rearview mirror. Secondly, we apply surface fitting on rearview mirror by least squares and moving least squares and establish corresponding mathematical models. Finally, we apply simulation technique to rearview mirror and design corresponding simulation algorithm and make out numerical analysis to established mathematical model. The simulation result shows distinctly field of vision of rearview mirror.At last, the research work in the paper is summarized.