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In the Internet industry, image processing technology can be used to quickly find the required picture information. Other applications include disaster prevention, industrial automation production lines, semiconductor, electronics, tobacco, and food industries. After the meter glyph spot image is collected, there are several spots in the image, and the corresponding pixel values are stored in memory. In order to process images, they should be distinguished and marked so that the spot has definite eigenvalues. To this end, this paper proposes an image processing method. Firstly, an image denoising method combining self-snake model and P-M model is introduced. Secondly, the recursive HOSVD dimensionality reduction algorithm based on tensor product model is used to further process the image. The center of the Hartmann aperture image is solved by the centroid of all the spots, and the center overlap algorithm for determining the centroid distance of the aperture image by the symmetry of the centroid of the spot centroid can reduce the number of calculations. The experimental results show that this method can effectively identify and process the spot of the image and greatly reduce the time complexity and computational complexity of the algorithm.<\/jats:p>","DOI":"10.1186\/s13640-019-0440-9","type":"journal-article","created":{"date-parts":[[2019,2,12]],"date-time":"2019-02-12T09:04:03Z","timestamp":1549962243000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["RETRACTED ARTICLE: Image processing algorithm of Hartmann method aberration automatic measurement system with tensor product model"],"prefix":"10.1186","volume":"2019","author":[{"given":"Linyuan","family":"Fan","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,2,12]]},"reference":[{"key":"440_CR1","doi-asserted-by":"crossref","unstructured":"M. Kumar, Y.H. Mao, Y.H. Wang, T.R. Qiu, C. Yang, W.P. 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