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An Efficient and Topological Correct Polygonisation Algorithm for Finite Element Data Sets

Implicit defined surfaces of scalar fields (isosurfaces) are a common entity in biomedical, scientific and engineering science. Polygonising an isosurface permits hardware assisted rendering and simplified geometric operations such as surface analysis and area computation. This paper introduces a novel algorithm for computing isosurfaces for scalar fields defined over (potentially curvilinear) finite elements which are common in numerical simulations and physically-based modelling. The advantages of the method are demonstrated by visualising the myocardial strain in a healthy and a diseased heart.