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Ellipse Fitting Based on a Hybrid l1l2-Norm Algorithm

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Simulation Tools and Techniques (SIMUtools 2020)

Abstract

This paper proposes a new efficient direct method noted the Hybrid l1l2-Norm Model for fitting ellipse to resist the Gaussian and Laplacian disturb simultaneously which will be solved by split Bregman iteration and shrink operator. The experimental results reveal that the proposed method not only works well with Gaussian Noise data but Laplacian Noise data and its mixed version. Several experimental examples are reported to demonstrate the robustness of the proposed approach.

Supported by Humanities and Social sciences project of Guizhou Provincial Department of Education, No.: 2019qn032, the National Natural Science Foundation of China, No.: 71761005 and 2017 Academic New Seedling Cultivation and Innovation Exploration Project of Guizhou University of Finance and Economics, No.: [2017]5736-002.

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Luo, L., Yang, W., Ren, W., Yu, X. (2021). Ellipse Fitting Based on a Hybrid l1l2-Norm Algorithm. In: Song, H., Jiang, D. (eds) Simulation Tools and Techniques. SIMUtools 2020. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 370. Springer, Cham. https://doi.org/10.1007/978-3-030-72795-6_61

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  • DOI: https://doi.org/10.1007/978-3-030-72795-6_61

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-72794-9

  • Online ISBN: 978-3-030-72795-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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