【作者】 郑素珍；

【导师】 陈文静；

【作者基本信息】 四川大学 ， 光学， 2006， 硕士

【摘要】 随着计算机技术、光学和光电子技术的迅速发展，极大的促进了传统的光学计量技术发展，新的三维传感和计量方法不断涌现。傅里叶变换轮廓术就是最早和最典型的三维传感技术之一。但是，傅立叶变换轮廓术缺乏局部分析能力。为了克服此缺陷，窗口傅里叶变换分析方法曾经被引入到三维传感技术当中。但是，在窗口傅里叶变换分析中，其窗口大小是固定不变的，满足了低频就满足不了高频。近年来，随着小波变换理论和技术的不断发展和成熟，小波变换也被逐渐引入到三维传感测量技术中。针对傅里叶变换轮廓术及窗口傅里叶变换在三维传感中的优点与实际应用中存在的问题和困难，本文以小波变换理论为基础，研究了基于小波变换的三维面形测量技术。 本文的主要内容如下： 1．指出了传统傅里叶变换在三维面形测量应用中面临的困难和不足。指出利用傅里叶变换进行三维测量时，若基频与零频、高次频谱没有混叠，可以得到很好的测量效果。而当被测物体面形形状复杂或被噪声严重污染时，频域中频谱分布展宽，可能发生频谱混叠，导致基频分量提取不完整，从而不能正确地恢复出被测物体。提出了通过小波脊直接获得变形条纹截断相位的方法。该方法充分利用了小波具有局部分析和噪声抑制能力的优点，当用于从有频谱混叠的条纹和被噪声污染的条纹中提取相位时具有明显的优势。 2．提出了基于小波脊的自适应窗口傅里叶变换方法。该方法通过小波脊变换，得到局部条纹的最佳变换窗口，在傅里叶变换三维测量时，可以保证窗口尺寸随变形条纹频率变化而自动调整，弥补了傅里叶变换没有局部分析能力和窗口傅里叶变换窗口大小固定不变的不足。更多还原

【Abstract】 With the quickly development of computer technology 、 optical and optics-electrical, promoting the development of the traditional optical measurement technology. And new method of the 3-D sensing and the measurement come out never-endingly. There are a lot of traditional methods of exacting phase in the optical 3-D measurement. And the Fourier Transform Profilometry is the one of the ordinary methods, however, it has no the ability of analysis local. In order to overcome this limitation, the windowed Fourier transform analysis method and wavelet transform analysis method are introduced in the 3-D shape measurement. In the windowed Fourier transform analysis, the size of windows is changeless, they either satisfy with the lower frequency or higher frequency. Recently years, with the development and growing up of wavelet transform theory and technology, the wavelet transform is introduced to the 3-D measurement. Basing on the merits and problems of the Fourier Transform Profilometry and the shortage of the windowed Fourier transform, this paper proposed the method of extracting the phase base on the wavelet transform.This article emphasizes on wavelet analysis in 3-D shape measurement. The mostly content is followed.1, We point out the difficulty and shortage of the traditional Fourier transform and the windowed Fourier transform. The Fourier transform profilometry gives correct 3D shape information of the measured object in the case of no spectrum overlapping. But this method is full-field transform, the spatial information of the更多还原