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为构造共轭曲面计算机处理系统,提出共轭曲面自适应综合的离散解析原理。从共轭曲面的创成过程出发,将母曲面 Σ2 和创成曲面Σ1 看作两簇空间网格点集, 认为Σ1 是由运动过程中Σ2 上满足共轭条件的点在 S1 坐标空间中的宏观表现, 通过微分几何中共轭条件的等价变换在数学模型上将计算机运算和共轭曲面解析求解结合起来。离散解析原理不仅能处理解析的共轭曲面问题, 而且能处理离散的共轭曲面问题, 达到共轭曲面综合的智能化、自动化。
In order to construct the conjugate surface computer processing system, the discrete analytic principle of conjugate surface adaptive synthesis is proposed. Starting from the process of creating the conjugate surface, we consider the parent surface Σ2 and the resultant surface Σ1 as the two-cluster point sets, and consider that Σ1 is the point in the coordinate space Σ1 that satisfies the conjugate condition in Σ2 Macroscopically, by means of the equivalent transformation of the conjugate condition in differential geometry, the computer arithmetic and the conjugate surface solution are combined on the mathematical model. Discrete analytic principle not only can deal with the problem of the conjugate surface solved, but also can deal with the discrete conjugate surface problem, to achieve the conjugate surface synthesis of intelligence and automation.