Jan Modersitzki
- Published in print:
- 2003
- Published Online:
- September 2007
- ISBN:
- 9780198528418
- eISBN:
- 9780191713583
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198528418.003.0012
- Subject:
- Mathematics, Applied Mathematics
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 ...
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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.Less
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.
Bruce Walsh and Michael Lynch
- Published in print:
- 2018
- Published Online:
- September 2018
- ISBN:
- 9780198830870
- eISBN:
- 9780191868986
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198830870.003.0030
- Subject:
- Biology, Evolutionary Biology / Genetics, Biochemistry / Molecular Biology
This chapter extends many of the results from Chapter 29 on single trait-fitness associations to the multiple trait setting. It examines the estimate of multivariate fitness surfaces, starting with ...
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This chapter extends many of the results from Chapter 29 on single trait-fitness associations to the multiple trait setting. It examines the estimate of multivariate fitness surfaces, starting with quadratic surfaces and then moving to nonparametric versions (which assume no a prior functional form). It also examines path analysis, the analysis of missing data, and multilevel selection.Less
This chapter extends many of the results from Chapter 29 on single trait-fitness associations to the multiple trait setting. It examines the estimate of multivariate fitness surfaces, starting with quadratic surfaces and then moving to nonparametric versions (which assume no a prior functional form). It also examines path analysis, the analysis of missing data, and multilevel selection.
