Bülow Heiko, Birk Andreas
Computer Science and Electrical Engineering, Jacobs University Bremen, Campus Ring 1, 28759 Bremen, Germany.
Sensors (Basel). 2021 Apr 7;21(8):2581. doi: 10.3390/s21082581.
Fourier-Mellin-SOFT (FMS) is a rigid 3D registration method, which allows the robust registration of 3 degrees-of-freedom (dof) rotation, 1-dof scale, and 3-dof translation between scans on discrete grids. FMS is based on a spectral decomposition of these 7-dof. This complete spectral representation of the input data enables an adaption to certain frequency ranges. This special property is used here to focus on relevant mutual 3D information between bone structures with a Low Frequency adaptation of FMS (LF-FMS), that is, it is utilized for matching and concurrently determining corresponding transformation parameters. This process is applied on a set of Magnetic Resonance Tomography (MRT) data representing the hand region, in particular the carpal bone area, in a sequence of different hand positions. This data set is available for different probands, which allows a comparison of resulting parameter plots and furthermore matching in between bone structures.
傅里叶 - 梅林 - 软算法（FMS）是一种刚性三维配准方法，它能够在离散网格上对扫描之间的3个自由度（dof）旋转、1个自由度缩放和3个自由度平移进行稳健配准。FMS基于这7个自由度的频谱分解。输入数据的这种完整频谱表示使得能够适应特定的频率范围。在此利用这一特殊属性，通过FMS的低频适配（LF - FMS）来聚焦骨骼结构之间相关的三维信息，也就是说，它被用于匹配并同时确定相应的变换参数。该过程应用于一组代表手部区域（特别是腕骨区域）的磁共振断层扫描（MRT）数据，这些数据是在一系列不同手部位置下获取的。该数据集可供不同的受试者使用，这使得能够比较所得的参数图，并进一步在骨骼结构之间进行匹配。
