arXiv:2604.11636cs.CV2026-04

用稀疏标注训练生成式形变模型,可自适应压缩潜在空间。

MorphoFlow: Sparse-Supervised Generative Shape Modeling with Adaptive Latent Relevance

论文配图:MorphoFlow: Sparse-Supervised Generative Shape Modeling with Adaptive Latent Relevance
图 1 · 摘自论文原文
  • 基于神经隐式表示与自编码器框架,从稀疏表面标注学习形状分布。
  • 在腰椎和股骨数据集上实现高精度重建,恢复出符合群体趋势的形变模式。
  • 自动调节潜在维度重要性,无需人工调参,支持不确定性量化与真实合成。

统计形变建模(SSM)是分析解剖结构群体变异的核心,但现有方法多依赖密集标注分割和固定潜在表示,限制了可扩展性和灵活性。本文提出MorphoFlow,一种稀疏监督下的生成式形变建模框架,直接从稀疏表面标注中学习紧凑的概率形状表示。该框架融合神经隐式形状表示、自编码器结构与自回归归一化流,构建了对潜在形状空间的表达性概率密度模型。神经隐式表示支持无分辨率依赖的3D解剖建模,自编码器结构允许在稀疏监督下直接优化单例潜在码。自回归流捕捉潜在解剖变异分布,提供可计算似然的生成模型。为获得紧凑且有结构的潜在表示,引入自适应潜在相关性加权,通过稀疏诱导先验调节各潜在维度的贡献,依据其对解剖变异的相关性动态调整,同时保持生成表达力。最终潜在空间支持不确定性量化与解剖合理形状合成,无需手动设定潜在维度数。在公开的腰椎与股骨数据集上的评估表明,该方法能从稀疏输入准确重建高分辨率形状,并恢复出与群体趋势一致的结构化变异模式。

原文摘要 · Abstract (English)

Statistical shape modeling (SSM) is central to population level analysis of anatomical variability, yet most existing approaches rely on densely annotated segmentations and fixed latent representations. These requirements limit scalability and reduce flexibility when modeling complex anatomical variation. We introduce MorphoFlow, a sparse supervised generative shape modeling framework that learns compact probabilistic shape representations directly from sparse surface annotations. MorphoFlow integrates neural implicit shape representations with an autodecoder formulation and autoregressive normalizing flows to learn an expressive probabilistic density over the latent shape space. The neural implicit representation enables resolution-agnostic modeling of 3D anatomy, while the autodecoder formulation supports direct optimization of per-instance latent codes under sparse supervision. The autoregressive flow captures the distribution of latent anatomical variability providing a tractable, likelihood-based generative model of shapes. To promote compact and structured latent representations, we incorporate adaptive latent relevance weighting through sparsity-inducing priors, enabling the model to regulate the contribution of individual latent dimensions according to their relevance to the underlying anatomical variation while preserving generative expressivity. The resulting latent space supports uncertainty quantification and anatomically plausible shape synthesis without manual latent dimensionality tuning. Evaluation on publicly available lumbar vertebrae and femur datasets demonstrates accurate high-resolution reconstruction from sparse inputs and recovery of structured modes of anatomical variation consistent with population level trends.

生成模型形变建模稀疏监督潜在空间

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