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Visualization of coalescence behavior of two bubbles with smoothness constraint

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Abstract

A new method based on 2D contour curve fitting and 3D rotation surface generation to visualize the coalescence phenomenon of two bubbles in static water is presented. First, some contour points are extracted from key frame images in different coalescence stages of two bubbles. Second, those points are fitted using a new approach combining piecewise curve fitting with a smoothing constraint. Third, a family of transition functions is proposed to deal with continuous changes of contour curves in the process of coalescence. Finally, we use those contours to generate dynamical 3D rotation surfaces and achieve the continuous deformation visualization of two-bubble coalescence.

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Acknowledgements

This work is supported by National Natural Science Foundation of China with project Nos. 51672028, 61571046 and 61372190. The authors are grateful to Liuhong Luo, Xiaochun Wang, Rui Gong, Shengpeng Mu, Shaodi Ge and Zuyun Jiang for their comments and suggestions which have improved the paper.

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  1. College of Science, Beijing Forestry University, Beijing, 100083, China

    Fangfang Zhang & Hongjun Li

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  1. Fangfang Zhang
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  2. Hongjun Li
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Correspondence to Hongjun Li.

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Zhang, F., Li, H. Visualization of coalescence behavior of two bubbles with smoothness constraint. J Vis 23, 475–490 (2020). https://doi.org/10.1007/s12650-020-00641-2

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  • DOI: https://doi.org/10.1007/s12650-020-00641-2

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