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ToolsLi, O., Chaudhry, E., Yang, X., Fu, H., Fang, J., Zhu, Z., Iglesias, A., Noreika, A., Carriazo, A., You, L. and Zhang, J. J., 2021. Composite Generalized Elliptic Curve-Based Surface Reconstruction. In: ICCS 2021: International Conference on Computational Science, 16-18 June 2021, Krakow, Poland, 134 - 148.
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DOI: 10.1007/978-3-030-77977-1_11
Abstract
Cross-section curves play an important role in many fields. Analytically representing cross-section curves can greatly reduce design variables and related storage costs and facilitate other applications. In this paper, we propose composite generalized elliptic curves to approximate open and closed cross-section curves, present their mathematical expressions, and derive the mathematical equations of surface reconstruction from composite generalized elliptic curves. The examples given in this paper demonstrate the effectiveness and high accuracy of the proposed method. Due to the analytical nature of composite generalized elliptic curves and the surfaces reconstructed from them, the proposed method can reduce design variables and storage requirements and facilitate other applications such as level of detail.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| ISSN: | 0302-9743 |
| Uncontrolled Keywords: | Curve modelling, composite generalized elliptic curves, surface modelling, composite generalized elliptic curve-based surface reconstruction, analytical mathematical expressions. |
| Group: | Faculty of Media & Communication |
| ID Code: | 35895 |
| Deposited By: | Symplectic RT2 |
| Deposited On: | 11 Aug 2021 10:57 |
| Last Modified: | 14 Mar 2022 14:29 |
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