A method based on the local gradient direction information is proposed to locate the center of circular fringe. The new method is developed which based on the idea that the normal directions of any point on the circular fringe are always pointing towards the center. Besides, the local gradient direction of fringe is related to the normal line of fringe. We deduce theoretically the principle of local gradient direction estimation. Then a new circular fringe center location algorithm is developed with the help of digital image processing technology and statistical ideas. The simulation results show that new method can locate accurately the center of different types of circular fringes with less or without filtering. It also holds good robustness and can meet the requirements of actual engineering application.
In visual detection fields based on line-structured light, the analysis of optical stripe image is a key problem. For the cross-line target image, through measuring the angle between two linear optical stripes the target position or some system’s parameters can be obtained. The traditional technique usually needs many preprocessing steps including image filtering, threshold segmentation, thinning processing and so on. For the images with low signal noise ratio or non-uniform intensity distribution, their application performance will be challenged. Based on the characteristic of translation invariance and rotation synchronization of two-dimensional Fourier transform, the paper combines Fourier transform with polar transform to form new Fourier-polar transform algorithm. It implements the angle measurement in the frequency-domain replaced in the spatial domain. At the same time, to improve the convenient of compute, the polar transform is adopted to calculate the distribution direction of amplitude spectrum energy. The proposed Fourier-polar transform algorithm uses the overall information of the image, and the calculating process is simple and no requirement of image preprocessing. Therefore, it can be applied to measure the angle of cross-line target image in low quality image such as low signal-to-noise ratio or with noise.
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