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arXiv 2603.23199cs.CV

FDIF:基于隐函数的公式驱动监督学习用于3D医学图像分割

FDIF: Formula-Driven supervised Learning with Implicit Functions for 3D Medical Image Segmentation

Waseda University(早稻田大学);The University of Osaka(大阪大学);National Institute of Advanced Industrial Science and Technology(国立研究开发法人产业技术综合研究所);University of Oxford(牛津大学)

Yukinori Yamamoto, Kazuya Nishimura, Tsukasa Fukusato, Hirokazu Nosato, Tetsuya Ogata, Hirokatsu Kataoka

AI总结:

FDIF通过隐函数实现无需真实数据的3D医学图像分割预训练,提升几何表达能力与纹理合成效果,优于公式驱动方法并接近自监督方法。

摘要:

基于深度学习的3D医学图像分割方法依赖大规模标注数据,但受隐私约束和专家标注成本限制难以获取。公式驱动监督学习(FDSL)通过数学公式生成训练数据和标签提供替代方案。然而,现有体素方法在几何表达和真实纹理合成上有限。本文提出公式驱动学习与隐函数(FDIF)框架,通过符号距离函数(SDF)实现紧凑复杂几何建模,并利用SDF表面表示实现可控的几何和强度纹理合成。在AMOS、ACDC和KiTS三个基准和SwinUNETR、nnUNet ResEnc-L、nnUNet Primus-M三个架构上,FDIF在公式驱动方法上表现更优,性能接近自监督方法。此外,FDIF预训练也提升了3D分类任务表现,证明基于隐函数的公式监督在无数据表示学习中具有前景。代码见https://github.com/yamanoko/FDIF。

英文摘要:

Deep learning-based 3D medical image segmentation methods relies on large-scale labeled datasets, yet acquiring such data is difficult due to privacy constraints and the high cost of expert annotation. Formula-Driven Supervised Learning (FDSL) offers an appealing alternative by generating training data and labels directly from mathematical formulas. However, existing voxel-based approaches are limited in geometric expressiveness and cannot synthesize realistic textures. We introduce Formula-Driven supervised learning with Implicit Functions (FDIF), a framework that enables scalable pre-training without using any real data and medical expert annotations. FDIF introduces an implicit-function representation based on signed distance functions (SDFs), enabling compact modeling of complex geometries while exploiting the surface representation of SDFs to support controllable synthesis of both geometric and intensity textures. Across three medical image segmentation benchmarks (AMOS, ACDC, and KiTS) and three architectures (SwinUNETR, nnUNet ResEnc-L, and nnUNet Primus-M), FDIF consistently improves over a formula-driven method, and achieves performance comparable to self-supervised approaches pre-trained on large-scale real datasets. We further show that FDIF pre-training also benefits 3D classification tasks, highlighting implicit-function-based formula supervision as a promising paradigm for data-free representation learning. Code is available at https://github.com/yamanoko/FDIF.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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