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中文摘要：
为了从小波变换系数幅值中得到一种完备的可靠度因子,提出了一种新的子小波定义,并将其应用到空间载频条纹相位重建中。通过提取小波脊处的小波变换系数的相位,提取载频条纹相位信息。利用子小波定义,小波变换脊处的小波变换系数幅值同时包含了载频条纹的调制度信息和密度信息,能够有效地表示相位提取的可靠度。给出了新子小波定义在空间载频条纹相位重建中应用的严格理论论证,证明了在新子小波定义下的小波变换系数幅值可以作为相位提取的可靠度因子。计算机模拟和实验验证了所提方法的有效性。
英文摘要：
In order to get a well reliability parameter,a new daughter wavelet for phase reconstruction of optical carrier-fringe pattern was proposed.The phase of the fringe pattern can be reconstructed from the ridge of the wavelet transform by employing this new daughter wavelet.The modulus of the new wavelet transform coefficients include both the modulation information and fringe density information,which can be treated as a well reliability parameter representing the phase reconstruction.Rigorous mathematical demonstration of this method was given.Theoretical demonstration shows that the modulus can be treated as a reliability parameter of the phase reconstruction.Computer simulation and experiment verify the feasibility of the proposed method.
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