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Regularized methods for topologypreserving smooth nonrigid image registration using b-spline basis
| Venue: | in International Symposium on Biomedical Imaging, 2008 |
| Citations: | 5 - 2 self |
BibTeX
@INPROCEEDINGS{Chun_regularizedmethods,
author = {Se Young Chun and Jeffrey A. Fessler},
title = {Regularized methods for topologypreserving smooth nonrigid image registration using b-spline basis},
booktitle = {in International Symposium on Biomedical Imaging, 2008},
year = {},
pages = {1099--1102}
}
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Abstract
B-splines are a convenient tool for nonrigid registration, but ensuring invertibility can be challenge. This paper describes a new penalty method that is devised to enforce a sufficient condition for local invertibility and smoothness of nth or-der B-spline based deformations. Traditional direct Jacobian penalty methods penalize negative Jacobian determinant val-ues only at grid points. In contrast, our new penalty method enforces the sufficient condition for invertibility directly on the B-spline coefficients by using a modified quadratic penalty function so that it enforces invertibility globally over a 3D continuous domain. This approach also saves compu-tation time and memory compared to using Jacobian deter-minant values. We apply this method to 3D CT images of a thorax at inhale and exhale. Index Terms — B-splines, 3D nonrigid image registra-tion, topology preserving, penalty method 1.
Keyphrases
smooth nonrigid image registration b-spline basis sufficient condition new penalty method jacobian deter-minant value nonrigid image registra-tion continuous domain quadratic penalty function nth or-der b-spline nonrigid registration topology preserving local invertibility negative jacobian determinant val-ues penalty method ct image index term b-splines grid point traditional direct jacobian penalty method convenient tool compu-tation time b-spline coefficient
