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Technical Report Interleaved Dimension Decomposition

Author(s): Manfred Kopp, Werner Purgathofer.
Technical Report: Institute of Computer Graphics and Algorithms, Vienna University of Technology, No. TR-186-2-98-03, A-1040 Karlsplatz 13/186/2, January, 1998.
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Wavelets in 2D or higher dimensions are often generated by a decomposition scheme from 1D wavelets. There are two decomposition schemes called the standard and the nonstandard decomposition which are used in most applications of higher dimensional wavelets. This paper introduces a new decomposition method, the interleaved dimension decomposition and compares its advantages and disadvantages with the other decompositions. Based on the properties of the interleaved dimension decomposition, applications to computer graphics are sketched including multiresolution painting, morphing in 2D and 3D, and image compression.

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