| The concept of multi-state has been widely applied in many fields, such as engineering analysis, reliability analysis of system, object-oriented programming and neural network. In the thesis the concept is introduced into the field of computer-aided modeling of science computing, and the concept is used to represent different states of a complex model. A complex model's states are defined according to model precision, computing time and computing error. The thesis studies the relation between model precision and computing error based on multi-state model. Some guidance rules are given by concluding and expressing these relations, and the rules are helpful to computer-aided modeling. The main content of the thesis includes:1) Based on the analysis of the applications of multi-state concept in different fields, the concept is imported into the field of computer-aided modeling of science computing to define the multi-state model. So the relation between model precision, computing time and computing error is studied based on the multi-state model.2) Geometry model is regarded as the study object. Representation and variance of multi-state model is studied based on 3D geometry feature. By comparing and analyzing of different 3D feature recognition methods, the method of 3D feature recognition based on graph is selected to deal with geometry features of multi-state model.3) To all 3D geometry features involved in the multi-state model, many experimental models are constructed for experimental computing. The relation between model precision, computing time and computing error is concluded by analyzing the computing result. The relation is expressed in form of mathematic function to guide study on multi-state model.4) A system of multi-state model is designed and realized, which is the experimental platform for the coming research. Feature tree is used to express and store features of a model. Representation and variance of multi-state model is realized in this system.
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