Adaptive B-spline curve fitting with minimal control points using an improved sparrow search algorithm for geometric modeling of aero-engine blades

IF 3.5 3区 计算机科学 Q2 COMPUTER SCIENCE, INFORMATION SYSTEMS
Chang Su, Yong Han, Suihao Lu, Dongsheng Jiang
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Abstract

In Industry 4.0 and advanced manufacturing, producing high-precision, complex products such as aero-engine blades involves sophisticated processes. Digital twin technology enables the creation of high-precision, real-time 3D models, optimizing manufacturing processes and improving product qualification rates. Establishing geometric models is crucial for effective digital twins. Traditional methods often fail to meet precision and efficiency demands. This paper proposes a fitting method based on an improved sparrow search algorithm (SSA) for high-precision curve fitting with minimal control points. This enhances modeling precision and efficiency, creating models suitable for digital twin environments and improving machining qualification rates. The SSA’s position update function is enhanced, and an internal node vector update range prevents premature convergence and improves global search capabilities. Through automatic iterations, optimal control points are calculated using the least squares method. Fitness values, based on local and global errors, are iteratively calculated to achieve target accuracy. Validation with aero-engine blade data showed fitting accuracies of 1e−3 mm and 1e−5 mm. Efficiency in searching for minimal control points improved by 34.7%–49.6% compared to traditional methods. This SSA-based fitting method significantly advances geometric modeling precision and efficiency, addressing modern manufacturing challenges with high-quality, real-time production capabilities.

Abstract Image

使用改进的麻雀搜索算法,以最小控制点进行自适应 B 样条曲线拟合,用于航空发动机叶片的几何建模
在工业 4.0 和先进制造业中,生产航空发动机叶片等高精度复杂产品需要复杂的工艺流程。数字孪生技术可以创建高精度、实时的三维模型,优化制造流程,提高产品合格率。建立几何模型对于有效的数字孪生至关重要。传统方法往往无法满足精度和效率要求。本文提出了一种基于改进的麻雀搜索算法(SSA)的拟合方法,以最小的控制点实现高精度曲线拟合。这可以提高建模精度和效率,创建适合数字孪生环境的模型,并提高加工合格率。SSA 的位置更新功能得到了增强,内部节点矢量更新范围可防止过早收敛并提高全局搜索能力。通过自动迭代,使用最小二乘法计算出最佳控制点。根据局部和全局误差迭代计算适度值,以达到目标精度。使用航空发动机叶片数据进行的验证显示,拟合精度分别为 1e-3 毫米和 1e-5 毫米。与传统方法相比,搜索最小控制点的效率提高了 34.7% 至 49.6%。这种基于 SSA 的拟合方法大大提高了几何建模的精度和效率,以高质量的实时生产能力应对现代制造挑战。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Multimedia Systems
Multimedia Systems 工程技术-计算机:理论方法
CiteScore
5.40
自引率
7.70%
发文量
148
审稿时长
4.5 months
期刊介绍: This journal details innovative research ideas, emerging technologies, state-of-the-art methods and tools in all aspects of multimedia computing, communication, storage, and applications. It features theoretical, experimental, and survey articles.
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