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Proceedings of CAD'15, 2015, 464-469
CAD Models from Medical Images using LAR

Alberto Paoluzzi, Antonio DiCarlo, Francesco Furiani, Roma Tre University
Miroslav Jirík, West Bohemia University

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. Technological advances made it possible to acquire large sets of biomedical data at a fast rate and affordable costs. In turn, the easiness of producing and collecting data in digital form has triggered a progressive paradigm shift from experiments on model organisms to simulation based on virtual prototypes and mathematical modeling. The capability to extract geometrical models from medical images fosters the development of quantitative, evidence-based medicine, where laboratory and clinical observations are cumulated and made accessible to integrative research. In the near future, the collected knowledge of multifarious physiological subsystems on a hierarchy of dimensional scales and of a variety of biological functions will be formalized, catalogued, organized, shared and combined in many ways, providing integration across subsystems, temporal and spatial scales, biomedical and bioengineering disciplines, to give rise to personalized healthcare.

Keywords. Representation scheme, Linear algebraic representation, LAR, 3D medical images

DOI: 10.14733/cadconfP.2015.464-469