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Journal article
A generalized framework for analytic regularization of uniform cubic B-spline displacement fields
Biomedical physics & engineering express, v 7(4), p45011
26 May 2021
PMID: 33878749
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
Image registration is an inherently ill-posed problem that lacks the constraints needed for a unique mapping between voxels of the two images being registered. As such, one must regularize the registration to achieve physically meaningful transforms. The regularization penalty is usually a function of derivatives of the displacement-vector field and can be calculated either analytically or numerically. The numerical approach, however, is computationally expensive depending on the image size, and therefore a computationally efficient analytical framework has been developed. Using cubic B-splines as the registration transform, we develop a generalized mathematical framework that supports five distinct regularizers: diffusion, curvature, linear elastic, third-order, and total displacement. We validate our approach by comparing each with its numerical counterpart in terms of accuracy. We also provide benchmarking results showing that the analytic solutions run significantly faster-up to two orders of magnitude-than finite differencing based numerical implementations.
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Details
- Title
- A generalized framework for analytic regularization of uniform cubic B-spline displacement fields
- Creators
- Keyur D Shah - Drexel UniversityJames A Shackleford - Drexel UniversityNagarajan Kandasamy - Drexel UniversityGregory C Sharp - Harvard University
- Publication Details
- Biomedical physics & engineering express, v 7(4), p45011
- Publisher
- Institute of Physics (IOP)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Electrical and Computer Engineering
- Web of Science ID
- WOS:000655752000001
- Scopus ID
- 2-s2.0-85107319655
- Other Identifier
- 991019168368704721
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- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Radiology, Nuclear Medicine & Medical Imaging