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3D Lagrangian Segmentation with Simultaneous Mesh Adjustment

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Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 78))

Abstract

We present a method for 3D image segmentation based on the Lagrangian approach. The segmentation model is a 3D analogue of the geodesic active contour model [1] and it contains an additional tangential movement term that allows us to control the quality of the mesh during the evolution process. The model is discretized by the finite volume approach. Segmentation of zebrafish cell images is shown to illustrate the performance of the method.

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References

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Acknowledgments

This work was supported by the grants APVV-0184-10 and VEGA 1/1137/12.

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Correspondence to Mariana Remešíková .

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Mikula, K., Remešíková, M. (2014). 3D Lagrangian Segmentation with Simultaneous Mesh Adjustment. In: Fuhrmann, J., Ohlberger, M., Rohde, C. (eds) Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems. Springer Proceedings in Mathematics & Statistics, vol 78. Springer, Cham. https://doi.org/10.1007/978-3-319-05591-6_68

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