Proceedings of the conference on Visualization '00
Fast Solution of the Radial Basis Function Interpolation Equations: Domain Decomposition Methods
SIAM Journal on Scientific Computing
Radial Basis Function Interpolation for Freehand 3D Ultrasound
IPMI '99 Proceedings of the 16th International Conference on Information Processing in Medical Imaging
Adaptive smooth scattered-data approximation for large-scale terrain visualization
VISSYM '03 Proceedings of the symposium on Data visualisation 2003
Extraction of crack-free isosurfaces from adaptive mesh refinement data
EGVISSYM'01 Proceedings of the 3rd Joint Eurographics - IEEE TCVG conference on Visualization
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We present a volume modelling approach based on sequences of two-dimensional ultrasound images. Though generally applicable to arbitrary freehand ultrasound, our method is designed for the reconstruction of timevarying volumes from ultrasound images of a human heart. Since the reliability of the reconstructed data depends very much on the spatial density of ultrasound images, we apply a hierarchical modelling approach. The volume produced for each time step is represented as adaptive mesh refinement (AMR) data such that regions of low reliability in the reconstructed volume can be recognized by their coarse resolution.