Information
- Publication Type: Technical Report
- Workgroup(s)/Project(s): not specified
- Date: January 1998
- Number: TR-186-2-98-03
- Keywords: Wavelets, morphing, multiresolution painting, image compression
Abstract
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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BibTeX
@techreport{Kopp-1998-IDD,
title = "Interleaved Dimension Decomposition",
author = "Manfred Kopp and Werner Purgathofer",
year = "1998",
abstract = "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.",
month = jan,
number = "TR-186-2-98-03",
address = "Favoritenstrasse 9-11/E193-02, A-1040 Vienna, Austria",
institution = "Institute of Computer Graphics and Algorithms, Vienna
University of Technology ",
note = "human contact: technical-report@cg.tuwien.ac.at",
keywords = "Wavelets, morphing, multiresolution painting, image
compression",
URL = "https://www.cg.tuwien.ac.at/research/publications/1998/Kopp-1998-IDD/",
}