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.

Uhlmann, V., Delgado-Gonzalo, R., Conti, C., Romani, L., Unser, M. (2014). Exponential Hermite splines for the analysis of biomedical images. In ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings (pp.1631-1634). Institute of Electrical and Electronics Engineers [10.1109/ICASSP.2014.6853874].

Exponential Hermite splines for the analysis of biomedical images

Romani, L;
2014

Abstract

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.
paper
Active contour; Exponential Hermite splines; Parameterization; Parametric snake; Segmentation
English
ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing
2014
ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
978-147992892-7
2014
1631
1634
6853874
none
Uhlmann, V., Delgado-Gonzalo, R., Conti, C., Romani, L., Unser, M. (2014). Exponential Hermite splines for the analysis of biomedical images. In ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings (pp.1631-1634). Institute of Electrical and Electronics Engineers [10.1109/ICASSP.2014.6853874].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/58813
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