Abstract
Free-form deformations are a powerful geometric modeling technique which can be used to represent complex 3D deformations. In recent years, freeform deformations have gained significant popularity in algorithms for the non-rigid registration of medical images. In this chapter we show how free-form deformations can be used in non-rigid registration to model complex local deformations of 3D organs. In particular, we discuss diffeomorphic and non-diffeomorphic representations of 3D deformation fields using free-form deformations as well as different penalty functions that can be used to constrain the deformation fields during the registration.We also show how free-form deformations can be used in combination with mutual information-based similarity metrics for the registration ofmono-modal and multi-modal medical images. Finally, we discuss applications of registration techniques based on free-form deformations for the analysis of images of the breast, heart and brain as well as for segmentation and shape modelling.
| Original language | English |
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| Title of host publication | Handbook of Biomedical Imaging: Methodologies and Clinical Research |
| Publisher | Springer |
| Pages | 277-294 |
| Number of pages | 18 |
| ISBN (Print) | 9780387097497, 9780387097480 |
| DOIs | |
| Publication status | Published - 1 Jan 2015 |