﻿ 一维倾斜载频条纹测量径向畸变

# 一维倾斜载频条纹测量径向畸变Radial Distortion Measurement Using One Dimensional Inclined Fringe Pattern and Gabor Transform

Abstract: For the purpose of measuring the radial distortion in optical imaging systems and correcting distorted images, based on phase analysis of fringe pattern, a new method using one dimensional inclined carrier-fringe pattern and Dilating Gabor transform is proposed, and the radial distortion distribution is obtained from the radial modulated phase distribution. Firstly, one dimensional inclined sinusoidal carrier-fringe pattern in arbitrary direction is used as measuring template, and a deformed grating pattern regarded as a distorted image is obtained by the optical imaging system. Then, considering the radial symmetry of radial distortion, one row of pixels along a certain direction is extracted from deformed fringe pattern; since there is no distortion at the center of the row, from which the fundamental frequency information including instantaneous frequency and phase, of the ideal pattern image, is extracted using Dilating Gabor transform, and the ideal image of fringe pattern along the above direction is constructed by use of an inverse Fourier Transform to measure the radial distortion. Phase analysis of the above row of deformed fringe pattern and its ideal fringe pattern is carried out using Dilating Gabor transform. The radial modulated phase distribution is converted the radial distortion distribution. Finally, by use of bilinearity interpolation, the calibrated image is reconstructed. Theoretical analysis and experimental results are presented to demonstrate the validity of the above method.

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