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Numerical Methods for Image Registration$
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Jan Modersitzki

Print publication date: 2003

Print ISBN-13: 9780198528418

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198528418.001.0001

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Numerical Methods for Image Registration

Jan Modersitzki

Oxford University Press

Elastic, fluid, and diffusion registrations are sensitive to affine linear displacements. As a consequence, an affine linear pre-registration is unavoidable. The second order derivatives-based curvature regularizer is introduced to circumvent this additional pre-registration. The registration thus becomes less dependent on the initial position of reference and template images. For the practical implementation of the curvature registration, the continuous and discrete bi-harmonic equation are considered and numerical solution schemes are discussed. The natural relation to thin plate splines is shown. Various examples demonstrate the performance of curvature registration and the difference to elastic, fluid, and diffusion registration.

Keywords:   non-parametric registration, pre-registration, registration kernel, bi-harmonic operator, thin plate splines

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