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G2 Optimization of Complex Surfaces Based on a Variable-Scale Chaotic Algorithm

  • Qingqing Cao*
  • , Guangrong Yan
  • , Haoyu Dong
  • , Wenyang Ma
  • *Corresponding author for this work
  • Beihang University

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In reverse engineering, the reconstruction of point cloud data typically results in complex surfaces composed of multiple "piecewise smooth" surface patches. Therefore, achieving high-quality stitching between such surfaces requires at least G2 continuity across adjacent patches. To address the limitations of conventional surface stitching methods and optimization algorithms, this study proposes a novel approach that combines adjacent surface interval recursion with a variable-scale chaotic search algorithm to determine the control points and weights necessary for G2-continuous stitching of NURBS surfaces. Continuity between adjacent intervals is maintained through recursive computation driven by the transfer of key equation coefficients. Meanwhile, the chaotic characteristics of variables, together with the adaptive scale strategy, enable dynamic adjustment of the search interval and precision control. The results demonstrate that the proposed method provides an effective strategy for G2 fitting and optimization in surface reconstruction for reverse engineering.

Original languageEnglish
Title of host publicationIntelligent Manufacturing and Cloud Computing - Proceedings of the 2nd International Conference, ICIMCC 2025
EditorsIsabel S. Jesus, Ke Wang
PublisherIOS Press BV
Pages218-228
Number of pages11
ISBN (Electronic)9781643686561
DOIs
StatePublished - 13 Mar 2026
Event2nd Annual International Conference on Intelligent Manufacturing and Cloud Computing, ICIMCC 2025 - Wuhan, China
Duration: 12 Dec 202514 Dec 2025

Publication series

NameAdvances in Transdisciplinary Engineering
Volume91
ISSN (Print)2352-751X
ISSN (Electronic)2352-7528

Conference

Conference2nd Annual International Conference on Intelligent Manufacturing and Cloud Computing, ICIMCC 2025
Country/TerritoryChina
CityWuhan
Period12/12/2514/12/25

Keywords

  • G continuity
  • NURBS surfaces
  • reverse engineering
  • surface stitching optimization
  • variable-scale chaotic optimization algorithm

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