Geometric modeling and motion analysis of the epicardial surface of the heart

Visualization Aspects of Motion Tracking and Analysis of the Outer Surface of the Left Ventricle

“…cardiac CT and biplane coronary angiography [2]. In the end-diastolic position, the epicardial surface in the 3D CT data is segmented and registered to the 3D skeleton representation of the coronary artery tree obtained from the end-diastolic cineangiographic frame.…”

Local interpolation schemes for landmark-based image registration: A comparison

“…, N. This problem can be formulated in the context of multivariate scattered data interpolation, and solved by different techniques, among which radial basis functions (RBFs) play a preminent role (see, e.g., [10,28,46]). The use of RBF transformations, in particular of the thin plate splines, for point-based image registration was first proposed by Bookstein [8], and it is still common (see [37] and the software package MIPAV [33]). A number of authors have investigated the most popular radial basis function transformations in the image registration context: thin plate spline [7,31], multiquadric [30,41], inverse multiquadric [41], and Gaussian transformations [7].…”

“…A number of authors have investigated the most popular radial basis function transformations in the image registration context: thin plate spline [7,31], multiquadric [30,41], inverse multiquadric [41], and Gaussian transformations [7]. A more specific application which involves registration and includes imaging techniques, such as computer tomography and magnetic resonance imaging, can be found in [37,38]. Since using globally supported RBFs, as for example the Gaussians, a single landmark pair change may influence the whole registration result, in the last two decades several methods have been presented to circumvent this disadvantage, such as weighted least squares and weighted mean methods (WLSM and WMM, respectively) [24], compactly supported radial basis functions (CSRBFs), especially Wendland's and Gneiting's functions [14,15,23], and elastic body splines (EBSs) [29].…”

Analysis of Compactly Supported Transformations for Landmark-based Image Registration

“…The landmark-based registration problem can be formulated in the context of multivariate scattered data interpolation, and solved by different techniques, among which radial basis functions (RBFs) play a preminent role (see, e.g., [7,24]). The use of RBF transformations, in particular of the thin plate splines, for point-based image registration was first proposed by Bookstein [3], and it is still common (see [20,21] and the software package MIPAV [16]). …”