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Deformable templates using large deformation kinematics
Abstract
A general automatic approach is presented for accommodating local shape variation when mapping a two-dimensional (2-D) or three-dimensional (3-D) template image into alignment with a topologically similar target image. Local shape variability is accommodated by applying a vector-field transformation to the underlying material coordinate system of the template while constraining the transformation to be smooth (globally positive definite Jacobian). Smoothness is guaranteed without specifically penalizing large-magnitude deformations of small subvolumes by constraining the transformation on the basis of a Stokesian limit of the fluid-dynamical Navier-Stokes equations. This differs fundamentally from quadratic penalty methods, such as those based on linearized elasticity or thin-plate splines, in that stress restraining the motion relaxes over time allowing large-magnitude deformations. Kinematic nonlinearities are inherently necessary to maintain continuity of structures during large-magnitude deformations, and are included in all results. After initial global registration, final mappings are obtained by numerically solving a set of nonlinear partial differential equations associated with the constrained optimization problem. Automatic regridding is performed by propagating templates as the nonlinear transformations evaluated on a finite lattice become singular. Application of the method to intersubject registration of neuroanatomical structures illustrates the ability to account for local anatomical variability.
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Citations
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Metadata
- Authors
- Christensen, G. E., Rabbitt, R. D., & Miller, M. I.
- Venue
- IEEE Transactions on Image Processing
- Published
- 1996
- Volume
- 5
- Issue
- 10
- Pages
- 1435-1447
- ISSN
- 1057-7149 (ISSN-L)
- OpenAlex
- W2041398617
- Cited by
- 1,142
- References
- 1
- FWCI
- 33.28
- Type
- journal article
- Language
- en
- Open access
- closed
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