中文摘要：

线结构光扫描测头在逆向工程中应用广泛，其测量精度对3D重建可靠性有重要影响。本文建立了基于光学三角法的线结构光扫描测头数学模型，由坐标转换和透视成像原理实现二维像素坐标与三维世界坐标间转换。分析了线结构光扫描测头结构参数对测量精度的影响，推导出测量误差模型。分析了漫反射光强度变化对结构参数的影响，结合实际设计需要给出边界约束条件，并仿真实现结构参数优化设计，误差低于0．02mm。

英文摘要：

Line structured light scanning probe is widely used in reverse engineering, its measurement precision and reliability have an important influence on 3D reconstruction. This paper establishes mathematical model of line structured light scanning probe based on optical triangulation method. The transformation between imaging pixel coordinates and three -dimensional world coordinate is achieved by coordinate transformation and perspective imaging principle. The influence on measurement accuracy of structured light scanning probe structure parameters is analyzed and the measurement error model is derived. The effect of diffuse light intensity on structural parameters is analyzed and boundary conditions are de- termined by actual design needs. Simulation on optimization design of structural parameters displays an error less than 0. 02mm.