arXiv:2608.17291cs.CV2026-08

用B样条建模牙齿排列结构,提升3D牙列分割精度与鲁棒性。

B-Spline Embedded Structure Learning for 3D Tooth Segmentation

论文配图:B-Spline Embedded Structure Learning for 3D Tooth Segmentation
图 1 · 摘自论文原文
  • 用B样条拟合牙中心点,构建连续结构约束正则化表征空间。
  • 在3DTeethSeg22上达到新SOTA,分割准确率显著提升,计算开销低。
  • 适合需要高精度牙列分割的临床数字化场景,如正畸规划。

精确的3D牙列分割是数字牙科的基础,但受真实牙列复杂性(如拥挤、错位、邻牙形态相似)影响,仍具挑战。为此,我们提出B-Spline嵌入结构学习框架,将牙齿的序列排列特性转化为连续结构约束以正则化表示空间。通过拟合参数化B样条轨迹至牙中心点,为每个点分配连续结构嵌入,使共享主干捕捉全局牙弓组织。为充分利用这些先验,引入结构感知动态分类器(SADC),以自适应可调决策边界替代固定模板;通过局部高斯邻近门控动态原型聚合,并借助注意力模块建模牙齿间的空间关系与双边对称性,实现上下文协同演化。在3DTeethSeg22基准上的大量实验表明,该方法在分割精度和结构鲁棒性上均达新SOTA,同时保持较低计算开销,显著增强模型处理复杂牙列配置的能力。

原文摘要 · Abstract (English)

Accurate 3D tooth segmentation forms the cornerstone of digital dentistry, yet it remains a formidable challenge due to the inherent intricacy of real-world dentitions, such as crowding, misaligned teeth and high morphological similarity between adjacent teeth. To resolve this, we present B-Spline Embedded Structure Learning, a novel framework that distills the inherent sequential arrangement of teeth into a continuous structural constraint to regularize representation space. Our approach parameterizes the global dental topology by fitting a parametric B-spline trajectory to tooth centers, assigning each point a continuous structural embedding that forces the shared backbone to capture global arch organization. To fully exploit these embedded priors, we introduce a Structure-Aware Dynamic Classifier (SADC) to substitute rigid static templates with adaptive, case-calibrated decision boundaries. SADC regularizes dynamic prototype pooling via a localized Gaussian proximity gate and contextually co-evolves them through an attention block modeling spatial relations and bilateral symmetries across teeth. Extensive evaluations on the 3DTeethSeg22 benchmark demonstrate that our method establishes a new state-of-the-art accuracy with exceptional structural robustness and efficiency in computational overhead, markedly enhancing the model's capacity to handle complex dental configurations.

3D分割牙齿建模结构先验B样条

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