The new non-equidistant optimum GM(1,1) of line-drawing data processing in computer aided design

Based on grey system, a new kind of non-equidistant optimum grey model GM(1,1) to line-drawing data processing in computer aided design was proposed. The model optimized the background value and modified the initial value x(t₁) of response function. The method of precision inspection was also introduced. Then, the programming was authorized with MATLAB7.6 language. Two examples were given, their results were compared with the results based other grey models, respectively. The method can be used for model establishing on equal interval, as well as on non-interval. Moreover, GM(1,1) model´s fitting precision and prediction is advanced and the scope of application is enlarged. The model is simple and practical, and has a generalizing value in the field of CAD.