One generic technique for model idealisation is dimensional reduction. In dimensional reduction, the finite element model makes use of elements of reduced dimension, such as beams, plates and shells. This project describes some operations that have been defined and implemented which allow the user to reduce the dimensionality of geometric models automatically using a novel decomposition and red...

This paper is a follow-up to a previous one [7] in which an algorithm to eliminate the adverse effects of small model features at the mesh level was presented. The present paper provides three additions to the original procedure. They are (i) a more efficient implementation in which those features that can be eliminated after surface mesh generation are eliminated before volume meshing, (ii) a ...

The surface area of a geometric model, like its volume, is an important integral property that needs to be evaluated frequently and accurately in practice. In this paper we present a new quasi-Monte

This work presents an approach towards reconstructing ligament and tendon attachment sites from 3D medical image data. We apply statistical shape models with an additional free form step to reconstruct the anatomical shape of the distal femur from CT data. After the shape fitting process the locations of ligament attachment sites, which are incorporated in the geometric model, are extracted and...

The class of simplicial complexes representing triangulations and subdivisions of Lawrence polytopes is closed under Alexander duality. This gives a new geometric model for oriented matroid duality.