Young A A, Hunter P J, Smaill B H
Department of Radiology, Hospital of the University of Pennsylvania, Philadelphia 19104.
IEEE Trans Biomed Eng. 1992 May;39(5):526-31. doi: 10.1109/10.135547.
A quantitative method is described for estimating epicardial deformation from the motion of the superficial arteries. A structural model of the time-varying surface is constructed using tensor product basis functions which are bicubic Hermite in the spatial domain and sinusoidal in the temporal domain. The loci of the superficial coronary arteries are reconstructed interactively at diastasis and the bifurcations are tracked semiautomatically throughout a cardiac cycle. An initial surface is fitted to the vessels at diastasis and is subsequently deformed under the influence of the bifurcations. The Lagrange-Green strain tensor is used to obtain a complete description of surface strain over the entire region spanned by the model. The calculated deformation field varies smoothly over space and time and is not constrained by assumptions of isotropy or piecewise homogeneity. Results are presented for a single cycle of a human heart.
描述了一种从浅表动脉运动估计心外膜变形的定量方法。使用张量积基函数构建时变表面的结构模型，该基函数在空间域为双三次埃尔米特函数，在时间域为正弦函数。在舒张期交互式重建浅表冠状动脉的轨迹，并在整个心动周期中半自动跟踪分叉点。在舒张期将初始表面拟合到血管上，随后在分叉点的影响下使其变形。使用拉格朗日-格林应变张量来完整描述模型所覆盖的整个区域的表面应变。计算得到的变形场在空间和时间上平滑变化，不受各向同性或分段均匀性假设的约束。给出了人类心脏单个周期的结果。
