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<p>In engineering design, one of the most daunting problems in the design-through-analysis workflow is to deal with trimmed Non-Uniform Rational B-Splines (NURBS), which often involve topological/geometric issues and lead to inevitable gaps and overlaps in the model. Given the dominance of the trimming technology in CAD systems, reconstructing such a model as a watertight representation is highly desired. While remarkable progress has been made in recent years, especially with the advancement of isogeometric analysis (IGA), there still lack a fully automatic and scalable tool to achieve this reconstruction goal. To address this issue, we present a semi-automatic and scalable reparameterization pipeline based on a scalable and feature-aligned meshing tool, QuadriFlow (Huang et al., in: Eurographics symposium on geometry processing, vol 37, no 5, pp 147–160, 2018). On top of it, we provide support for open surfaces to deal with engineering shell structures, and perform sophisticated patch simplification to remove undesired tiny/slender patches. As a result, we obtain a watertight spline surface (multi-patch NURBS or unstructured splines) with a simple quadrilateral layout. Through several challenging models from industry applications, we demonstrate the efficacy and efficiency of the proposed pipeline as well as its integration with IGA. Our source code is publicly available on GitHub (ScaleUntrim, 2024. <a href="https://doi.org/10.5281/zenodo.14979911">https://doi.org/10.5281/zenodo.14979911</a>).</p>

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Scalable field-aligned reparameterization for trimmed NURBS

  • 期刊论文

  • 发表日期：

    2025年5月26日

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  • Zheng Wei,
  • Xiaodong Wei

摘要

In engineering design, one of the most daunting problems in the design-through-analysis workflow is to deal with trimmed Non-Uniform Rational B-Splines (NURBS), which often involve topological/geometric issues and lead to inevitable gaps and overlaps in the model. Given the dominance of the trimming technology in CAD systems, reconstructing such a model as a watertight representation is highly desired. While remarkable progress has been made in recent years, especially with the advancement of isogeometric analysis (IGA), there still lack a fully automatic and scalable tool to achieve this reconstruction goal. To address this issue, we present a semi-automatic and scalable reparameterization pipeline based on a scalable and feature-aligned meshing tool, QuadriFlow (Huang et al., in: Eurographics symposium on geometry processing, vol 37, no 5, pp 147–160, 2018). On top of it, we provide support for open surfaces to deal with engineering shell structures, and perform sophisticated patch simplification to remove undesired tiny/slender patches. As a result, we obtain a watertight spline surface (multi-patch NURBS or unstructured splines) with a simple quadrilateral layout. Through several challenging models from industry applications, we demonstrate the efficacy and efficiency of the proposed pipeline as well as its integration with IGA. Our source code is publicly available on GitHub (ScaleUntrim, 2024. https://doi.org/10.5281/zenodo.14979911).