Abstract
This work studies limits on estimating the width of thin vessels in 3D medical images. Based on nonlinear estimation theory we analyze the minimal stochastic error of the width estimate caused by image noise. Given a 3D analytic model of the image intensities of a vessel, we derive a closed-form expression for the Cramér-Rao bound of the vessel width. We use the derived lower bound as a benchmark and compare it with previously proposed accuracy limits of three different approaches for vessel width estimation. Moreover, by experimental investigations we demonstrate that the derived lower bound can be achieved by fitting a 3D parametric intensity model directly to the image data.
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© 2006 Springer-Verlag Berlin Heidelberg
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Wörz, S., Rohr, K. (2006). Limits on Estimating the Width of Thin Vessels in 3D Medical Images. In: Handels, H., Ehrhardt, J., Horsch, A., Meinzer, HP., Tolxdorff, T. (eds) Bildverarbeitung für die Medizin 2006. Informatik aktuell. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-32137-3_38
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DOI: https://doi.org/10.1007/3-540-32137-3_38
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-32136-1
Online ISBN: 978-3-540-32137-8
eBook Packages: Computer Science and Engineering (German Language)