Wavelet-based representation of uniform multi-component data
Westenberg, Thomas Ertl · 2005
We propose a wavelet-based hierarchical data structure for 2D and 3D data that deals with multicomponent data on a uniform grid. We distinguish two phases: (i) construction and pruning of the wavelet hierarchy, resulting in a block-wise representation of the data, where the resolution of each block is adapted to its content; (ii) visualization, based on a linearly interpolating reconstruction filter. We perform experiments with 2-D timedependent flow data and a 3-D multi-field data set containing vector components and several scalar components of a simulation of hurricane Isabel. For the various data sets, our method approximates the data with the amounts of wavelet coefficients ranging between 10% and 30%. We also show how to obtain gradients directly from the hierarchical representation, without the need to explicitly reconstruct the data first. Our method is not specific to the data we have used for the experiments, and it can be extended to higher dimensions or other data types, such as tensors, in a straightforward manner.