Mathematical Modeling And Numerical Simulation Of Complex Surface Based On MEP Algorithm

The complexity of the complex surface mainly reflected in two aspects: First, in many marginal disciplines, the field of high-tech products involved in surface modeling products have high accuracy requirements to achieve certain characteristics of the high-precision math for the purpose of the second is the modern people pay attention to the social functions of the product at the same time, modeling of the appearance of products to higher and higher demands in pursuit of aesthetics or function, called for the purpose. To meet the complex surface of the high-precision numerical algorithm requirements, the paper surface of the complex mathematical modeling started theoretical research, the introduction of MEP algorithm, used in a new type of wide vision mirrors the modeling, national standards were welll fulfilledThis paper mainly consists of three parts: the mathematics complex surface modeling, MEP algorithm research and application of simulation algorithm.On the part of the sequence, we introduced the background, the contents,the ideas and the goals of our research, made the key technical issues clearThe first part is theoretical research, and comparative analysis of interpolation method,fitting, and other classic method.The second part is the introduction of MEP algorithm (Multi-Expression Programming), the basic principles of encoding and fundamental processes.We explained that MEP is to abtain a unknown functionin the third part, and we applied MEP on numerical simulation of complex surface, as an examples - grand vision mirrors modeling, and the comparison results with the traditional method, the results showed that MEP is much better in many aspectsFinally, a summary of the full paper, the next step of our work..