Fuzhong Bai, Tieying Zhang, Xiaojuan Gao, Yongxiang Xu. Local Bending Measurement of Laser Stripe Images Based on Fourier-Polar Transformation[J]. Acta Optica Sinica, 2018, 38(8): 0815019
- Acta Optica Sinica
- Vol. 38, Issue 8, 0815019 (2018)
Fig. 1. Translation and rotation characteristics of 2D Fourier transformation. (a) f1; (b) f2; (c) M1; (d) M2
Fig. 2. Fan-shaped area used to evaluate relationship between energy and angle in magnitude spectrum
Fig. 3. Schematic of polar transformation. (a) Cartesian coordinate; (b) polar coordinate
Fig. 4. Ring-shaped area used for polar transformation
Fig. 5. Polar transformation of magnitude spectra shown in Fig. 1. (a) M1; (b) M2
Fig. 6. Energy as a function of angle
Fig. 7. Schematic of directional projection
Fig. 8. Projection curves along normal direction of images shown in Fig.1. (a) f1; (b) f2
Fig. 9. Experimental detecting results of local bending of laser stripe images. (a) (b) laser stripe images recorded in experiment; (c) (d) h(?) obtained after Fourier-polar transformation; (e) (f) projection curves of laser stripe images along normal direction
Fig. 10. Experimental results of laser stripe images with local contamination and Gaussian noises. (a) Laser stripe image; (b) Fourier-polar transformation result and h(?); (c) projection curve of laser stripe image along normal direction
Fig. 11. Extracting result of center-line in Fig. 10(a) by gray level gravity algorithm
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