The Euler-Lagrange Equation for Interpolating Sequence of Landmark Datasets

Abstract. Non-rigid registration of landmarked datasets is an important problem that finds many applications in medical image analysis. In this paper, we present a method for interpolating a sequence of landmarks. The sequence of landmarks may be a model of growth, where anatomical object boundaries are parametrized by landmarks and the growth processes generate a landmarked sequence in time. In a variational optimization framework, the matching diffeomorphism for this problem is generated from a gradient algorithm based on the EulerLagrange equation of a cost framed in the inexact matching setting.

• Type: Conference
• Year: 2003
• Where: MICCAI
• Authors: Alain Trouvé, Laurent Younes, Michael I. Miller, Mirza Faisal Beg
• Keywords: Anatomical Object Boundaries, Landmarked Datasets, Landmarked Sequence, Medical Imaging, MICCAI 2003