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B-spline Based on Vector Extension Improved CST Parameterization Algorithm
  • +3
  • Bowen Yan,
  • Yuanyuan Si,
  • Zhaoguo Zhou,
  • Wei Guo,
  • Hongwu Wen,
  • Yaobin Wang
Bowen Yan
Military Transportation University

Corresponding Author:yanbowen90@foxmail.com

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Yuanyuan Si
Characteristic Medical Center of Chinese People's Armed Police Force
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Zhaoguo Zhou
Military Transportation University
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Wei Guo
Military Transportation University
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Hongwu Wen
Military Transportation University
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Yaobin Wang
Southwest University of Science and Technology
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Abstract

In this paper, the vector extension operation is proposed to replace the de Boor-Cox formula for a fast algorithm to B-spline basis functions. This B-spline basis function based on vector extending operation is implemented in the class and shape transformation (CST) parameterization method in place of the traditional Bezier polynomials to enhance the local ability of control and accuracy to represent an airfoil shape. To calculate the k-degree B-spline function’s nonzero values, the algorithm can improve the computing efficiency by 2k+1 times.
27 Jun 2023Submitted to Engineering Reports
04 Jul 2023Submission Checks Completed
04 Jul 2023Assigned to Editor
04 Jul 2023Review(s) Completed, Editorial Evaluation Pending
06 Jul 2023Reviewer(s) Assigned
18 Aug 2023Editorial Decision: Revise Major
25 Aug 20231st Revision Received
27 Aug 2023Submission Checks Completed
27 Aug 2023Assigned to Editor
27 Aug 2023Review(s) Completed, Editorial Evaluation Pending
28 Aug 2023Reviewer(s) Assigned
25 Sep 2023Editorial Decision: Revise Minor
19 Oct 20232nd Revision Received
20 Oct 2023Submission Checks Completed
20 Oct 2023Assigned to Editor
20 Oct 2023Review(s) Completed, Editorial Evaluation Pending
23 Oct 2023Editorial Decision: Accept