arXiv:2512.07190cs.CV2025-12被引 2

融合多尺度多滤波拓扑特征,提升医学图像分类准确性

Integrating Multi-scale and Multi-filtration Topological Features for Medical Image Classification

  • 通过多尺度立方体持续性图捕捉从整体解剖到细微异常的拓扑特征
  • 提出'藤蔓'算法整合多分辨率持久图,生成稳定且丰富的拓扑表示
  • 适用于需要可解释性与高鲁棒性的医学影像分析场景

现代深度神经网络在医学图像分类中表现优异,但通常侧重像素强度特征,忽视了由拓扑不变量编码的基本解剖结构,或仅通过单参数持续性捕捉简单拓扑特征。本文提出一种新的拓扑引导分类框架,提取多尺度、多滤波的持续性拓扑特征,并将其融入视觉分类主干网络。对于输入图像,首先在多个图像分辨率下计算立方体持续性图(PDs);随后设计一种'藤蔓'算法,将这些PDs整合为单一稳定图,捕获从全局解剖到细微局部异常的多层次特征。为进一步挖掘多滤波产生的丰富拓扑表示,我们构建基于交叉注意力的神经网络,直接处理最终整合的持续性图。生成的拓扑嵌入与CNN或Transformer的特征图融合。通过端到端集成多尺度、多滤波拓扑信息,本方法显著增强模型识别复杂解剖结构的能力。在三个公开数据集上的实验表明,该方法持续优于强基线与先进方法,验证了综合拓扑视角在实现稳健、可解释医学图像分类中的价值。

原文摘要 · Abstract (English)

Modern deep neural networks have shown remarkable performance in medical image classification. However, such networks either emphasize pixel-intensity features instead of fundamental anatomical structures (e.g., those encoded by topological invariants), or they capture only simple topological features via single-parameter persistence. In this paper, we propose a new topology-guided classification framework that extracts multi-scale and multi-filtration persistent topological features and integrates them into vision classification backbones. For an input image, we first compute cubical persistence diagrams (PDs) across multiple image resolutions/scales. We then develop a ``vineyard'' algorithm that consolidates these PDs into a single, stable diagram capturing signatures at varying granularities, from global anatomy to subtle local irregularities that may indicate early-stage disease. To further exploit richer topological representations produced by multiple filtrations, we design a cross-attention-based neural network that directly processes the consolidated final PDs. The resulting topological embeddings are fused with feature maps from CNNs or Transformers. By integrating multi-scale and multi-filtration topologies into an end-to-end architecture, our approach enhances the model's capacity to recognize complex anatomical structures. Evaluations on three public datasets show consistent, considerable improvements over strong baselines and state-of-the-art methods, demonstrating the value of our comprehensive topological perspective for robust and interpretable medical image classification.

拓扑分析医学图像特征融合

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