论文标题
解剖学上参数化的统计形状模型:通过统计学习解释形态计量学
Anatomically Parameterized Statistical Shape Model: Explaining Morphometry through Statistical Learning
论文作者
论文摘要
统计形状模型(SSM)是对解剖结构进行形态学分析的流行工具,这是临床实践中至关重要的一步。但是,通过SSM的形状表示基于形状系数,并且缺乏与临床相关性解剖学测量的一对一关系。虽然形状系数嵌入了解剖学测量的结合,但在文献中,一种形式化的方法是找到它们之间关系的方法仍然难以捉摸。这限制了SSM在临床实践中的主观评估。我们提出了一个新型SSM,该SSM由形态计量分析得出的解剖参数控制。提出的解剖参数化SSM(ANAT-SSM)基于学习形状系数和选定的解剖参数之间的线性映射。该映射是从标准SSM产生的合成种群中学到的。确定映射的伪内,使我们能够构建ANAT-SSM。我们进一步将正交性约束对解剖参数化,以获得独立的形状变化模式。使用临床相关的解剖参数评估了在两个股骨和肩cap骨形状的骨骼数据库上评估所提出的贡献。合成形状的解剖学测量表现出现实的统计。学到的矩阵与获得的统计关系很好地证实了统计关系,而在预测看不见的形状的解剖参数方面,这两个SSM在预测解剖参数方面具有适度的性能。这项研究证明了使用解剖学来创建解剖参数化的SSM,因此消除了标准SSM的临床解释性有限。提出的模型可以帮助分析人群之间相关骨形态的差异,并将其整合到患者特定的手术前计划或手术中评估中。
Statistical shape models (SSMs) are a popular tool to conduct morphological analysis of anatomical structures which is a crucial step in clinical practices. However, shape representations through SSMs are based on shape coefficients and lack an explicit one-to-one relationship with anatomical measures of clinical relevance. While a shape coefficient embeds a combination of anatomical measures, a formalized approach to find the relationship between them remains elusive in the literature. This limits the use of SSMs to subjective evaluations in clinical practices. We propose a novel SSM controlled by anatomical parameters derived from morphometric analysis. The proposed anatomically parameterized SSM (ANAT-SSM) is based on learning a linear mapping between shape coefficients and selected anatomical parameters. This mapping is learned from a synthetic population generated by the standard SSM. Determining the pseudo-inverse of the mapping allows us to build the ANAT-SSM. We further impose orthogonality constraints to the anatomical parameterization to obtain independent shape variation patterns. The proposed contribution was evaluated on two skeletal databases of femoral and scapular bone shapes using clinically relevant anatomical parameters. Anatomical measures of the synthetically generated shapes exhibited realistic statistics. The learned matrices corroborated well with the obtained statistical relationship, while the two SSMs achieved moderate to excellent performance in predicting anatomical parameters on unseen shapes. This study demonstrates the use of anatomical representation for creating anatomically parameterized SSM and as a result, removes the limited clinical interpretability of standard SSMs. The proposed models could help analyze differences in relevant bone morphometry between populations, and be integrated in patient-specific pre-surgery planning or in-surgery assessment.