@article{fdi:010040730,
  title = {{R}epresenting geometric structures in 3{D} tomography soil images : {A}pplication to pore-space modeling},
  author = {{M}onga, {O}livier and {N}gom {N}deye, {F}atou and {D}elerue, {J}ean-{F}ran{\c{c}}ois},
  editor = {},
  language = {{ENG}},
  abstract = {{O}nly in the last decade have geoscientists started to use 3{D} computed tomography ({CT}) images of soil for better understanding and modeling of soil properties. {I}n this paper, we propose one of the first approaches to allow the definition and computation of stable (intrinsic) geometric representations of structures in 3{D} {CT} soil images. {T}his addresses the open problem set by the description of volume shapes from discrete traces without any a priori information. {T}he basic concept involves representing the volume shape by a piecewise approximation using simple volume primitives (bowls, cylinders, cones, etc.). {T}his typical representation is assumed to optimize a criterion ensuring its stability. {T}his criterion includes the representation scale, which characterizes the trade-off between the fitting error and the number of patches. {W}e also take into account the preservation of topological properties of the initial shape: the number of connected components, adjacency relationships, etc. {W}e propose an efficient computation method for this piecewise approximation using cylinders or bowls. {F}or cylinders, we use optimal region growing in a valuated adjacency graph that represents the primitives and their adjacency relationships. {F}or bowls, we compute a minimal set of {D}elaunay spheres recovering the skeleton. {O}ur method is applied to modeling of a coarse pore space extracted from 3{D} {CT} soil images. {T}he piecewise bowls approximation gives a geometric formalism corresponding to the intuitive notion of pores and also an efficient way to compute it. {T}his geometric and topological representation of coarse pore space can be used, for instance, to simulate biological activity in soil.},
  keywords = {3{D} computed tomography soil images ; {F}unctional minimization ; soil properties ; geometric modeling ; computational geometry ; region growing ; delaunay triangulation},
  booktitle = {},
  journal = {{C}omputers and {G}eosciences},
  volume = {33},
  numero = {9},
  pages = {1140--1161},
  ISSN = {0098-3004},
  year = {2007},
  DOI = {10.1016/j.cageo.2006.11.015},
  URL = {https://www.documentation.ird.fr/hor/fdi:010040730},
}