Composite Generalized Elliptic Curve-Based Surface Reconstruction
| Autor: | Lihua You, Jian J. Zhang, Haibin Fu, Alfonso Carriazo, Andrés Iglesias, Junheng Fang, Ouwen Li, Zaiping Zhu, Xiaosong Yang, Algirdas Noreika, Ehtzaz Chaudhry |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Computational Science – ICCS 2021 ISBN: 9783030779764 ICCS (5) Lecture Notes in Computer Science Lecture Notes in Computer Science-Computational Science – ICCS 2021 |
| ISSN: | 0302-9743 1611-3349 |
| DOI: | 10.1007/978-3-030-77977-1_11 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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