基于二维连续小波变换的三维轮廓测量技术比较研究

为解决在物体高度梯度变化较大的情况下三维轮廓测量技术的测量精度问题,将连续小波变换应用到三维轮廓测量技术中.开展了基于2d-paul和2d-morlet连续小波变换轮廓术研究,进行了三维轮廓测量术比较分析,建立了小波“脊”相位与高度之间的关系,提出了在物体高度梯度变化较大的情况下基于2d-paul算法优于2d-morlet算法.在对比分析的基础上对两种连续小波变换轮廓测量技术的测量精度进行了评价,进行了Matlab和实测试验.研究结果表明：物体高度梯度变化较大的情况下适合采用2d-paul算法,其能更有效地提高三维轮廓测量技术的测量精度.

Research of 3D-Profilometry on the basis of two-dimensional wavelet transform analysis

Aiming at solving the problems of three-dimensional profile measurement precision under the condition of large gradient,the 2d-paul and 2d-morlet was investigated.After the analysis of measurement precision of two kinds of wavelet transform profilometry,the two kinds of continuous wavelet transform profilometry measurement accuracy was established.A method was presented to the 2d-paul algorithm as the object height gradient increases.The proposed methods were evaluated on the basis of the experimental results,the measurement precision of two kinds of wavelet transform profilometry were tested.The results indicate that measurement result of the 2d-paul method is better than 2d-morlet method as the object height gradient increases,measurement result of the 2d-paul method is better than2d-morlet method,and more effective in improving measurement precision of three dimensional profile measuring technology.