Deformable templates using large deformation kinematics

Gary E. Christensen

doi:10.1109/83.536892

1996-01-01

894

PRE

Gary E. Christensen *

Richard D. Rabbitt

Michael I. Miller

DOI：10.1109/83.536892

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摘要

En 中文

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.

Keyword:

POSITRON-EMISSION TOMOGRAPHY

IMAGES

BRAIN

SHAPE