Reliable detection and separation of components for solid objects defined with scalar fields |
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| Affiliation: | 1. School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, China;2. Department of Automation, Shanghai Jiaotong University, Shanghai, 200240, China;3. School of Electrical and Information Engineering, Tianjin University, Tianjin 300072, China;4. The Center for Machine Vision and Signal Analysis, University of Oulu, Finland;5. Collaborative Innovation Center of High-End Manufacturing Equipment, Xi’an Jiaotong University, Xi’an 710049, China;6. National Institue of Additive Manufacturing, Xi’an 710049, China;7. School of Mechanical Engineering, Dongguan University of Technology, Dongguan 523808, China;8. Shanghai Key Laboratory of Molecular Imaging, Shanghai University of Medicine and Health Sciences, Shanghai 201318, China |
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| Abstract: | The detection of the number of disjoint components is a well-known procedure for surface objects. However, this problem has not been solved for solid models defined with scalar fields in the so-called implicit form. In this paper, we present a technique which allows for detection of the number of disjoint components with a predefined tolerance for an object defined with a single scalar function. The core of the technique is a reliable continuation of the spatial enumeration based on the interval methods. We also present several methods for separation of components using set-theoretic operations for further handling these components individually in a solid modelling system dealing with objects defined with scalar fields. |
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| Keywords: | Component analysis Scalar fields Implicit surfaces Component detection Component separation |
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