Schretter, C., Chun, S. Y., & Fessler, J. (2010). Sufficient Condition for Local Invertibility of Spatio-Temporal 4D B-Spline Deformations. In Proc. of the 7th IEEE International Symposium on Biomedical Imaging (pp. 1221-1224). (Proc. of the 7th IEEE International Symposium on Biomedical Imaging).

@inproceedings{dd08bd65a8ff4921a793cfbae4a4a763,
title = "Sufficient Condition for Local Invertibility of Spatio-Temporal 4D B-Spline Deformations",
abstract = "Recent advances in medical imaging technologies have made 4D image sequences available in clinical routine. As a consequence, image registration techniques are evolving from alignment of pairs of static volumetric images to spatio-temporal registration of dynamic (4D) images. Since the elastic image registration problem is ill-posed, additional prior information or constraints are usually required to regularize the problem. This work proposes to enforce local invertibility (diffeomorphism) of 4D deformations. A novel sufficient condition for local invertibility over continuous space and time is proposed and a practical regularization prior is designed from the theory. The method has been applied to an image registration (motion tracking) of a dynamic 4D CT image sequence. Results show that using proposed regularizer leads to deformations that are more plausible for respiratory motion than the standard approach without additional temporal regularization.",
keywords = "computerised tomography, image registration, medical image processing, image motion analysis, optimisation",
author = "Colas Schretter and Chun, {Se Young} and Jeff Fessler",
year = "2010",
language = "English",
series = "Proc. of the 7th IEEE International Symposium on Biomedical Imaging",
pages = "1221--1224",
booktitle = "Proc. of the 7th IEEE International Symposium on Biomedical Imaging",
note = "Unknown ; Conference date: 01-01-2010",
}