Biomedical Imaging GroupSTI
English only   BIG > Publications > Medical Splines

 Home Page
 News & Events
 Tutorials and Reviews
 Download Algorithms

 All BibTeX References

A Guided Tour of Splines for Medical Imaging

M. Unser

Invited talk, proceedings of the Twelfth Annual Conference on Medical Image Understanding and Analysis (MIUA'08), Dundee, United Kingdom, July 2-3, 2008, pp. 119-120.

Splines, which were invented by Schoenberg more than fifty years ago, constitute an elegant framework for dealing with interpolation and discretization problems. Our purpose in this talk is to motivate their use in medical imaging, emphasizing their ease of use, as well as their fundamental properties. In particular, we will describe efficient digital filtering algorithms for the interpolation and spline-based processing of signals and images. We will show that splines are intimately linked to differentials and identify B-splines as the exact mathematical translators between the discrete and continuous versions of the (scale-invariant) operator. This partly explains why these functions play such a fundamental role in wavelet theory. Splines may also be justified on variational and/or statistical grounds; e.g., they provide Wiener (i.e, MMSE) estimators for fractal processes such as fractional Brownian motion. We will illustrate spline processing with applications in biomedical imaging where its impact has been the greatest so far. Specific tasks include high-quality interpolation, snakes, and various types of image registration. There is now compelling evidence (several independent studies in medical imaging) that splines offer the best cost-performance tradeoff among available interpolation methods.

AUTHOR="Unser, M.",
TITLE="A Guided Tour of Splines for Medical Imaging",
BOOKTITLE="Twelfth Annual Conference on Medical Image Understanding and
        Analysis ({MIUA'08})",
address="Dundee, United Kingdom",
month="July 2-3,",
note="Invited talk")

© 2008 BMVA. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from BMVA.
This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.