BIOMEDICAL IMAGING GROUP (BIG)
Laboratoire d'imagerie biomédicale (LIB)

Exponential Hermite Splines for the Analysis of Biomedical Images

V. Uhlmann, R. Delgado-Gonzalo, C. Conti, L. Romani, M. Unser

Proceedings of the Thirty-Ninth IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP'14), Firenze, Italian Republic, May 4-9, 2014, pp. 1650-1653.

We present a new exponential B-spline basis that enables the construction of active contours for the analysis of biomedical images. Our functions generalize the well-known polynomial Hermite B-splines and provide us with a direct control over the tangents of the parameterized contour, which is absent in traditional spline-based active contours. Our basis functions have been designed to perfectly reproduce elliptical and circular shapes. Moreover, they can approximate any closed curve up to arbitrary precision by increasing the number of anchor points. They are therefore well-suited to the segmentation of the roundish objects that are commonly encountered in the analysis of bioimages. We illustrate the performance of an active contour built using our functions on some examples of real biological data. 

@INPROCEEDINGS(http://bigwww.epfl.ch/publications/uhlmann1401.html,
AUTHOR="Uhlmann, V. and Delgado-Gonzalo, R. and Conti, C. and Romani, L.
	and Unser, M.",
TITLE="Exponential {H}ermite Splines for the Analysis of Biomedical
	Images",
BOOKTITLE="Proceedings of the Thirty-Ninth {IEEE} International
	Conference on Acoustics, Speech, and Signal Processing
	({ICASSP'14})",
YEAR="2014",
editor="",
volume="",
series="",
pages="1650--1653",
address="Firenze, Italian Republic",
month="May 4-9,",
organization="",
publisher="",
note="")

© 2014 IEEE. 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 IEEE. 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.