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为便于构建计算机自动分析系统，提出共轭曲面自适应分析的离散解析原理，即曲面的分析按离散点进行，在每一离散点上遵循共轭曲面解析原理。共轭曲面曲率分析是共轭曲面理论的一个重要内容。认为创成曲面决定于母曲面马和相对运动的共同作用，通过对Σ２和相对运动的综合分析，获得马上相应点的曲率特性。从共轭条件的导数形式出发，推导出由母曲面及相对运动获得创成曲面Σ１曲率特性的公式，在数学模型上将离散运算和解析原理结合起来，与作者此前提出的共轭曲面自适应综合的离散解析原理相统一。“离散解析原理”使得计算机智能化、自适应处理共轭曲面问题成为可能，为相关ＣＡＤ／ＣＡＭ应用系统开发及共轭曲面理论的广泛深人应用奠定坚实的基础。
In order to facilitate the construction of computer automatic analysis system, a discrete analytic principle of adaptive analysis of conjugate curved surface is proposed, that is, the analysis of curved surface is performed by discrete points, and the principle of conjugate surface analysis is followed at each discrete point. Conjugate surface curvature analysis is an important part of the theory of conjugate surfaces. It is considered that the creation of a surface decides the joint action of the equinoxes and the relative motions. Through the comprehensive analysis of Σ2 and relative motion, the curvature characteristics of the corresponding points are obtained immediately. Based on the derivative form of the conjugate condition, the formula for obtaining the curvature property of the surface Σ1 derived from the parent surface and the relative motion is deduced. Based on the mathematical model, the principle of discrete operation and analysis is combined with the previous proposed conjugate surface adaptive Integrated discrete analytical principle of unity. The “Discrete Analysis Principle” makes it possible to intelligently computerize and adaptively deal with conjugate surface problems, laying a solid foundation for the extensive and in-depth application of related CAD / CAM application systems and conjugate surface theory.