Lossless Progressive Transmission of Scientific Data Using Biorthogonal Wavelet Transform

A new progressive transmission scheme using spline biorthogorial wavelet bases is proposed in this paper: First, several wavelet bases are compared with the spline biorthogo-nul nmvlet bases. By exploiting the properties of this set of wuvelet bases, a fast algorithm involving only additions and subtruc.tintts is developed. Due to the multiresolutional nature cf the wavelet transform. this scheme is compatible with hierarchical -striictrcred rendering algorithms. The formula for reconstructing the functional rulues in U continuous volume spure is giimen iri U simple polytiomial form. Lossless compres-.sim is possible, even when usirig floating-point riumbers. When the algorithm is applied to datafrom a global ocean model , the lossless compression ratio is about 1.5:I. Even with a comprewiort ratio of 50:I, the reconstructed data is still of good yriulity. Fittally, the reconstructed data is rendered using variori.~ risua1i:ution algorithms and the results are demonstrated .