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The challenge of hexahedral meshing of arterial geometry

Garcia E., Seron F., Baldassarri S.

Machine Graphics and Vision

2008

Vol. 17, No. 1/2

35-55

This paper describes the process of generating a hexahedral mesh of the arterial geometry. From the finite element meshing point of view, arterial geometry may be regarded as a volume assembly in which every segment can be meshed separately except in the shared surfaces. The arterial assembly is made up of three subvolumes: arterial wall, artery lumen and atherosclerotic plaque. A three-dimensional geometric model of each arterial segment has been reconstructed using intravascular ultrasound images (IVUS) and biplane angiographies. Generation of hexahedral meshes for biological models with different physical characteristics usually requires the use of different meshing algorithms for each region. Vessel bifurcations have been modeled by joining the surfaces of the reconstructed segments, using a technique based on NURBS. Therefore, this paper describes the combination of decomposition and meshing techniques required to meet the challenge of generating hexahedral elements for arterial models. A variety of verification algorithms have been used in order to calculate several algebraic quality metrics and assess the quality of the finite element meshes generated.

Modelling objects with changing shapes : a survey

Baldassarri S., Gutierrez Perez D., Seron Arbeloa F.

Machine Graphics and Vision

2002

Vol. 11, No. 4

399-430

The great number of object modelling computer techniques that alresdy exist and the new ones that are continuously appearing are the result of a multidisciplinary exchange of ideas. Within this area, objects with changing shapes are inherently more difficult to model than rigid objects. Our main goal has been to provide a classification of the algorithms involved in the modelling of objects that can be as diverse as water, clothes, faces,...The classification has been made from the starting poing of inorganic and organic categories. Inorganic objects are classified according to their material state while the organic ones are classified according to the realm they belong to. Within each category, works are generally presented in chronological order, providing an extensive bibliography.