Composite Generalized Elliptic Curve-Based Surface Reconstruction

Authors: Li, O. et al.

Journal: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volume: 12746 LNCS

Pages: 134-148

eISSN: 1611-3349

ISSN: 0302-9743

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.

https://eprints.bournemouth.ac.uk/35895/

Source: Scopus