arXiv:2605.16306cs.GRcs.AI2026-05

用Transformer改进工业设计中孔洞填充的参数化,提升精度与鲁棒性。

UVTran: Accurate Hole-Filling Parameterization with Transformers

论文配图:UVTran: Accurate Hole-Filling Parameterization with Transformers
图 1 · 摘自论文原文
  • 基于Transformer构建辅助投影面,更好捕捉孔边几何特征。
  • 在基准测试上满足公差率提升12%,复杂边界下仍能生成平滑表面。
  • 适合需要高精度曲面填充的工业设计场景,如汽车/飞机建模。

在工业设计中,N边孔洞填充通常通过最小化公平能量并满足几何边界约束,构造单一裁剪B样条曲面来实现。该方法依赖于填充曲面上裁剪曲线的精确参数空间表示。现有方法多将孔边投影到附近平面或多边形以建立对应关系,但常忽略边界异质性,导致映射偏差、公平性下降甚至填充失败。本文提出UVTran,一种基于Transformer的框架,用于预测更优的辅助投影面以捕捉孔边几何特性。利用B样条局部性,设计交叉注意力机制,使每个曲面控制点偏向邻近孔边,保留局部几何细节。对控制点坐标进行体素化,并将拟合问题转化为分类任务,降低模型对微小数值扰动和噪声的敏感性。采用渐进式分辨率训练策略,在粗分辨率注入可控离散误差以模拟分布偏移,缓解过拟合,提升高分辨率下的泛化能力。在我们的基准测试中,UVTran优于工业与学术基线:公差满足率提升12%,且在复杂孔边条件下始终生成公平的填充曲面。结果表明,UVTran在多种N边孔洞上均能产生更忠实的对应关系与更平滑的裁剪曲面。

原文摘要 · Abstract (English)

In industrial design, N-sided hole filling is typically formulated as the construction of a single trimmed B-spline surface by minimizing a fairness energy subject to geometric boundary constraints. This formulation requires an accurate parameter-space representation of the trimming curve on the filling surface. Most existing methods project the hole boundary onto a nearby plane or polygon to establish correspondence; however, they often neglect boundary heterogeneity, which can yield biased mappings, degrade fairness, and even cause filling failures. We propose UVTran, a transformer-based framework that predicts an auxiliary projection surface better to capture the geometric characteristics of the hole boundary. Exploiting B-spline locality, we design a cross-attention mechanism that biases each surface control point toward the nearby hole boundary, preserving local geometric detail. We voxelize control-point coordinates and formulate the fitting problem as a classification task, which reduces the model's sensitivity to small numerical perturbations and noise. We adopt a progressive-resolution training strategy that injects controlled discretization errors at coarse resolutions to mimic distribution shifts, thereby mitigating overfitting and improving generalization at high resolution. On our benchmark, UVTran outperforms both industrial and academic baselines: the tolerance-satisfaction rate improves by $12\%$, and it consistently produces fair filled surfaces even under complex hole boundary conditions. These results suggest that UVTran yields more faithful correspondences and fairer trimmed surfaces across a wide range of N-sided holes.

曲面填充Transformer工业设计参数化

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