Novel Framework for Artificial Bubble Image Generation and Boundary Detection Using Superformula Regression and Computer Vision Techniques

Pavel Mikushin, Nickolay Martynenko, Irina Nizovtseva, Ksenia Makhaeva, Margarita Nikishina, Dmitrii Chernushkin, Sergey Lezhnin () and Ilya Starodumov
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Pavel Mikushin: Laboratory of Multiphase Physical and Biological Media Modeling, Ural Federal University, Yekaterinburg 620000, Russia
Nickolay Martynenko: Institute for Nuclear Research of the Russian Academy of Sciences, Moscow 117312, Russia
Irina Nizovtseva: Laboratory of Multiphase Physical and Biological Media Modeling, Ural Federal University, Yekaterinburg 620000, Russia
Ksenia Makhaeva: Laboratory of Multiphase Physical and Biological Media Modeling, Ural Federal University, Yekaterinburg 620000, Russia
Margarita Nikishina: Laboratory of Multiphase Physical and Biological Media Modeling, Ural Federal University, Yekaterinburg 620000, Russia
Dmitrii Chernushkin: NPO Biosintez Ltd., Moscow 109390, Russia
Sergey Lezhnin: Laboratory of Multiphase Physical and Biological Media Modeling, Ural Federal University, Yekaterinburg 620000, Russia
Ilya Starodumov: Laboratory of Multiphase Physical and Biological Media Modeling, Ural Federal University, Yekaterinburg 620000, Russia

Mathematics, 2024, vol. 13, issue 1, 1-14

Abstract: Bubble multiphase systems are crucial in industries such as biotechnology, medicine, oil and gas, and water treatment. Optical data analysis provides critical insights into bubble characteristics, such as the shape and size, complementing physical sensor data. Existing detection techniques rely on classical computer vision algorithms and neural network models. While neural networks achieve a higher accuracy, they require extensive annotated datasets, and classical methods often struggle with complex systems due to their lower accuracy. This study proposes a novel framework to address these limitations. Using Superformula parameter regression, we introduce an advanced border detection method for accurately identifying gas inclusions and complex-shaped objects in multiphase environments. The framework also includes a new approach for generating realistic artificial bubble images based on physical flow conditions, leveraging the Superformula to create extensive, labeled datasets without manual annotation. Tested on real bubble flows in mass transfer equipment, the algorithms enable bubble classification by shape and size, enhance detection accuracy, and reduce development time for neural network solutions. This work provides a robust method for object detection and dataset generation in multiphase systems, paving the way for more precise modeling and analysis.

Keywords: multiphase systems; mathematical modeling; mass transfer; computer vision; fluid dynamics; neural network; training dataset; image processing; Superformula regression; bioreactor productivity (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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