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A novel method for reconstructing general 3D curves from stereo images

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Abstract

Three-dimensional (3D) reconstruction of objects and scenes from camera images is of great interests due to its wide applications. Reconstruction based on feature point correspondence is an established approach. Existing research on curve-based reconstruction is limited to certain type of curves and constrained by case-dependent reconstruction accuracy. In view of that, this paper developed a new method to reconstruct general 3D curves from stereo images. Under proposal, a B-spline curve fitting is applied to sets of 2D edge points extracted from acquired stereo images. Derived approximating parametric curves are then used to construct conic surfaces. Further, robust iterative algorithms are developed to get intersection of corresponding conic surfaces to recover 3D curve. Due to the method design, proposed approach can reconstruct general 3D curves including both open and closed curves. The curve fitting technique and developed robust algorithms can meet accuracy requirement of many real applications. Validity of the proposed method is verified through experiments on a cylinder and teacup in laboratory and a real forging within a workshop.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant Nos. 51975119 and 51575107. This financial support is gratefully acknowledged. We also thank Shanghai Xinmin Heavy-duty Forging Limited for providing the workshop in Dongtai that enabled our third experiment.

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Authors and Affiliations

  1. School of Mechanical Engineering, Southeast University, Nanjing, 211189, China

    Yijun Zhou, Jianan Zhao & Chen Luo

  2. Chengxian College, Southeast University, Nanjing, 210088, China

    Yijun Zhou

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  1. Yijun Zhou
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Correspondence to Chen Luo.

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Zhou, Y., Zhao, J. & Luo, C. A novel method for reconstructing general 3D curves from stereo images. Vis Comput 37, 2009–2021 (2021). https://doi.org/10.1007/s00371-020-01959-6

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