Albu Alexandra Branzan, Beugeling Trevor, Laurendeau Denis
Department of Electrical and Computer Engineering, University of Victoria, Victoria, BC V8W3P6, Canada.
IEEE Trans Biomed Eng. 2008 Aug;55(8):2022-38. doi: 10.1109/TBME.2008.921158.
This paper proposes a new morphology-based approach for the interslice interpolation of current transformer (CT) and MRI datasets composed of parallel slices. Our approach is object based and accepts as input data binary slices belonging to the same anatomical structure. Such slices may contain one or more regions, since topological changes between two adjacent slices may occur. Our approach handles explicitly interslice topology changes by decomposing a many-to-many correspondence into three fundamental cases: one-to-one, one-to-many, and zero-to-one correspondences. The proposed interpolation process is iterative. One iteration of this process computes a transition sequence between a pair of corresponding input slices, and selects the element located at equal distance from the input slices. This algorithmic design yields a gradual, smooth change of shape between the input slices. Therefore, the main contribution of our approach is its ability to interpolate between two anatomic shapes by creating a smooth, gradual change of shape, and without generating over-smoothed interpolated shapes.
本文提出了一种基于形态学的新方法，用于对由平行切片组成的电流互感器（CT）和磁共振成像（MRI）数据集进行层间插值。我们的方法是基于对象的，并接受属于同一解剖结构的二进制切片作为输入数据。由于相邻两个切片之间可能发生拓扑变化，这些切片可能包含一个或多个区域。我们的方法通过将多对多对应关系分解为三种基本情况：一对一、一对多和零对一对应关系，来明确处理层间拓扑变化。所提出的插值过程是迭代的。该过程的一次迭代计算一对对应输入切片之间的过渡序列，并选择与输入切片距离相等的元素。这种算法设计在输入切片之间产生形状的逐渐、平滑变化。因此，我们方法的主要贡献在于它能够通过创建形状的平滑、逐渐变化，而不产生过度平滑的插值形状，在两个解剖形状之间进行插值。
