Abstract
This paper deals with the representation of complex volume shapes using a piece wise approximation by ellipsoids. The principle consists in optimizing a functional including an error term and a scale term. The result is a set of tangent or disjoint ellipsoids representing the shape in an intrinsic way. We propose a general scheme that we apply to 3D soil pore space modelling from volume Computed Tomography images. Within this specific context, we validate our geometrical modelling by using it for water draining simulation in porous media.
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Acknowledgements of Support
This publication was made possible by NPRP grant #9-390-1-088 from the Qatar National Research Fund. The findings achieved herein are solely the responsibility of the authors.
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Kemgue, A.T., Monga, O. (2018). From Voxels to Ellipsoids: Application to Pore Space Geometrical Modelling. In: Kim, K., Kim, H., Baek, N. (eds) IT Convergence and Security 2017. Lecture Notes in Electrical Engineering, vol 449. Springer, Singapore. https://doi.org/10.1007/978-981-10-6451-7_23
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DOI: https://doi.org/10.1007/978-981-10-6451-7_23
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