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Abstract:

Abstract. We consider multiresolution visualization of large volume data sets based on wavelets. Starting from a wavelet decomposition of the data, a low resolution image is computed; this approximation can be successively refined. The practical need for such a multiresolution approach is motivated. The mathematical techniques involve Fourier and wavelet analysis. 1. Background and motivation There is a growing interest in the visualization and exploration of digital data representing large three-dimensional (3D) volumes, which can result from measurement by physical equipment, or from computer simulation. Such data arise in many scientific areas, such as computerized tomography (CT), astronomy, computational physics or chemistry, fluid dynamics, seismology, environmental research, non-destructive testing, etc. Since it is very hard to interpret the interior of volumes by viewing individual slices, volume visualization techniques have been developed for viewing these data from different viewpoints, using advanced computer graphics techniques such as illumination, shading and colour. With the increasing popularity of the Internet and the data exchange through systems such as

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