Zhao Zheen, Aylward Stephen R, Teoh Earn Khwang
Computer Aided Display and Diagnosis Laboratory, University of North Carolina at Chapel Hill, Chapel Hill, NC, USA.
Med Image Comput Comput Assist Interv. 2005;8(Pt 1):221-8. doi: 10.1007/11566465_28.
A 3D Partitioned Active Shape Model (PASM) is proposed in this paper to address the problems of the 3D Active Shape Models (ASM). When training sets are small. It is usually the case in 3D segmentation, 3D ASMs tend to be restrictive. This is because the allowable region spanned by relatively few eigenvectors cannot capture the full range of shape variability. The 3D PASM overcomes this limitation by using a partitioned representation of the ASM. Given a Point Distribution Model (PDM), the mean mesh is partitioned into a group of small tiles. In order to constrain deformation of tiles, the statistical priors of tiles are estimated by applying Principal Component Analysis to each tile. To avoid the inconsistency of shapes between tiles, training samples are projected as curves in one hyperspace instead of point clouds in several hyperspaces. The deformed points are then fitted into the allowable region of the model by using a curve alignment scheme. The experiments on 3D human brain MRIs show that when the numbers of the training samples are limited, the 3D PASMs significantly improve the segmentation results as compared to 3D ASMs and 3D Hierarchical ASMs.
本文提出了一种三维分区主动形状模型(PASM),以解决三维主动形状模型(ASM)的问题。在训练集较小时,这在三维分割中很常见,三维ASM往往具有局限性。这是因为相对较少的特征向量所跨越的允许区域无法捕捉形状变化的全部范围。三维PASM通过使用ASM的分区表示克服了这一限制。给定一个点分布模型(PDM),将平均网格划分为一组小瓦片。为了约束瓦片的变形,通过对每个瓦片应用主成分分析来估计瓦片的统计先验。为了避免瓦片之间形状的不一致,训练样本作为一条曲线投影到一个超空间中,而不是几个超空间中的点云。然后使用曲线对齐方案将变形点拟合到模型的允许区域中。对三维人脑磁共振成像的实验表明,当训练样本数量有限时,与三维ASM和三维分层ASM相比,三维PASM显著提高了分割结果。