Application of the Delaunay triangulation interpolation in distortion XRII image

作者:Li Yuanjin; Shu Huazhong*; Luo Limin; Chen Yang; Wang Tao; Yue Zuogang
来源:Journal of Southeast University (english Edition), 2014, 30(3): 306-310.
DOI:10.3969/j.issn.1003-7985.2014.03.009

摘要

To alleviate the distortion of XRII (X-ray image intensifier) images in the C-arm CT (computer tomography) imaging system, an algorithm based on the Delaunay triangulation interpolation is proposed. First, the causes of the phenomenon, the classical correction algorithms and the Delaunay triangulation interpolation are analyzed. Then, the algorithm procedure is explained using flow charts and illustrations. Finally, experiments are described to demonstrate its effectiveness and feasibility. Experimental results demonstrate that the Delaunay triangulation interpolation can have the following effects. In the case of the same center, the root mean square distances (RMSD) and standard deviation (STD) between the corrected image with Delaunay triangulation interpolation and the ideal image are 5.760 4×10-14 and 5.354 2×10-14, respectively. They increase to 1.790 3, 2.388 8, 2.338 8 and 1.262 0, 1.268 1, 1.202 6 after applying the quartic polynomial, model L1 and model L2 to the distorted images, respectively. The RMSDs and STDs between the corrected image with the Delaunay triangulation interpolation and the ideal image are 2.489×10-13 and 2.449 8×10-13 when their centers do not coincide. When the quartic polynomial, model L1 and model L2 are applied to the distorted images, they are 1.770 3, 2.388 8, 2.338 8 and 1.269 9, 1.268 1, 1.202 6, respectively.

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