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   -> Volume 5, Issue 6

Preprint: Stereo Image Matching Using Complex Wavelets
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Heping Pan (

PostPosted: Tue Aug 13, 1996 9:34 am    
Subject: Preprint: Stereo Image Matching Using Complex Wavelets
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Preprint: Stereo Image Matching Using Complex Wavelets


General Stereo Image Matching Using Symmetric Complex Wavelets

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Paper for SPIE Conference: Wavelet Applications in Signal and Image Processing
IV, August 1996, Denver, USA, published in SPIE Proceedings vol. 2825.


General stereo image matching provides an adequate but hard problem
with sufficient complexity, with which the potential of wavelets may
be exploited to a full extent. An ideal stereo image matching
algorithm is supposed to be invariant to the scale, translation,
rotation, and partial correspondence between two given stereo images.
While the multiresolution of wavelets is good at scale adaptivity, we
also require the wavelet transform and pyramids to be translation- and
rotation-invariant. This paper is intended to serve for three
purposes: (1). to present the general problem of stereo image matching
in a sufficient depth and extent, so that pure wavelet mathematicians
could think on adequate and efficient solutions, (2). to present a
complete algorithm for top-down image matching including surface
reconstruction by using wavelet pyramids, (3). to search for a wavelet
family optimal for image matching. It is expected that a family of
adequately designed wavelets could provide a generic and robust
solution to the stereo image matching problem, which could be an
important breakthrough in computer vision, photogrammetry, and pattern

In particular:

We show the effectiveness of using different wavelet families,
including Haar wavelets, the standard Daubechies wavelets, the least
asymmetric real Daubechies wavelets, symmetric complex wavelets, and
complex steerable wavelets. A pair of real aerial images taken from
standard photogrammetric applications is used as a common data set for
experiments and comparison.


Dr Heping Pan
Cooperative Research Centre for Sensor Signal
and Information Processing (CSSIP)
Signal Processing Research Institute
Technology Park Adelaide, The Levels, SA 5095
Phone: +61 8 3023925
Fax: +61 8 3023124
WWW address:
All times are GMT + 1 Hour
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