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.
Year
DOI
Venue
2010
10.1109/ISBI.2010.5490215
ISBI
Keywords
Field
DocType
optimisation,practical regularization,local invertibility,computerised tomography,motion tracking,diffeomorphism,temporal regularization,b-spline deformation,elastic image registration problem,image registration technique,sufficient condition,optimization,image sequences,spatio-temporal 4d b-spline deformations,additional temporal regularization,static volumetric image,image registration,additional prior information,4d deformation,respiratory motion,dynamic 4d ct image sequence,static volumetric images,medical image processing,ct image sequence,image motion analysis,biomedical imaging,interpolation,computed tomography,spline,inverse problems,tracking
Spline (mathematics),B-spline,Computer vision,Medical imaging,Computer science,Interpolation,Regularization (mathematics),Artificial intelligence,Match moving,Image registration,Diffeomorphism
Conference
ISSN
ISBN
Citations 
1945-7928 E-ISBN : 978-1-4244-4126-6
978-1-4244-4126-6
2
PageRank 
References 
Authors
0.45
10
3
Name
Order
Citations
PageRank
Se Young Chun17218.18
Colas Schretter2215.46
J. A. Fessler31743229.34