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综合优化以往研究方法的优势和特点，将球面渐开线理论应用于建模中，提出了弧齿锥齿轮球面渐开线齿面的形成原理。从齿面的精确形状出发，利用该理论求导了组成完整齿廓的各部分曲线以及齿线等重要曲线的参数化方程。同时，以扫略创建曲面、从点云创建曲面等CAD曲面设计功能为主体，分别提出了齿轮建模的新方案，即端面齿廓扫略建模、齿面离散点云建模，并就上述方案提出了各自相应优化方法。最后结合算例，表明了其建模及优化方案得到的齿面模型精度高，为弧齿锥齿轮的快速精确建模提供了理论基础和途径。“,”Principle of forming spherical involute tooth surface about the spiral bevel gear was proposed with the application of the spherical involute theory in the modeling, on the basis of comprehensive optimization of advantage and characteristics of previous research methods. From a complete tooth profile curve, the quick and accurate derivations of basic parametric equation of each part of the tooth profile curve were made by the principle. Besides, the important tooth line were done. At the same time, on the base of some CAD features about sculptured surface namely by sweeping to found surfaces, and creating a surface from the point cloud, some new approaches were correspondingly proposed, which were sweeping from tooth profile, and discrete point cloud on the tooth surface. And it accordingly made optimization methods for the program proposed. At last, through the given examples, these approaches have been proven that gear model have high accuracy, fast efficiency that can provide some theoretical foundation and means for fast and accurate modeling of spiral bevel gears.