ABSTRACT
This paper points out the main design goals of a novel representation scheme of geometric-topological data, named Linear Algebraic Representation (LAR), characterized by a wide domain, encompassing 2D and 3D meshes, manifold and non-manifold geometric and solid models, and high-resolution 3D images. To demonstrate its simplicity and effectiveness for dealing with huge amounts of geometric data, we apply LAR to the extraction of a clean solid model of the hepatic portal vein subsystem from micro-CT scans of a pig liver.
GRAPHICAL ABSTRACT
![](/cms/asset/3e1e7131-cbd9-4be5-bdf9-74e3f45e4c43/tcad_a_1168216_uf0001_c.jpg)
Acknowledgements
A.D.C. and A.P. are grateful to the members [Citation25] of the 3D-Based Medical Application Working Group sponsored by the IEEE Computer Society/Standards Activities Board for their interest and encouragement. They also acknowledge the inspiring cooperation from Vadim Shapiro. Federico Spini, Enrico Marino, and Vittorio Cecchetto contributed to the early stages of the LAR project. A.P. thanks SOGEI, the ICT company of the Italian Ministry of Economy and Finance, for the support provided through several grants.
ORCID
Alberto Paoluzzi http://orcid.org/0000-0002-3958-8089
Antonio DiCarlo http://orcid.org/0000-0002-7736-684X
Francesco Furiani http://orcid.org/0000-0001-7997-3777
Miroslav Jiřík http://orcid.org/0000-0002-8002-2079