16th Conference on Applied Mathematics, Univ. of Central Oklahoma,
Electron. J. Diff. Eqns., Conf. 07, 2001, pp. 6170.
Determination of the number of texture segments using wavelets
Joseph P. Havlicek & Peter C. Tay
Abstract:
This paper presents a robust method of determining the number of texture
segments in an image. We take an
image and decompose it into
blocks. A threescale twodimensional discrete wavelet
transform is performed on each
block. For each
block, this transformation produces coefficients for 25
wavelet channels. The energy of each channel is used as a tuple for
a vector in the feature space. Nearest neighbor clustering is used
to segment the feature space. A measure is defined to determine the
"goodness" of the clustering. The optimal number of segments is taken
to be the clustering which maximizes our measure.
Published July 20, 2001.
Subject lassfications: 65T60, 42C40.
Key words: Differential geometry, algebraic geometry.
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Joseph P. Havlicek
School of Electrical & Computer Engineering
The University of Oklahoma
Norman, OK 730191023 USA
email: joebob@ou.edu


Peter C. Tay
School of Electrical & Computer Engineering
The University of Oklahoma
Norman, OK 730191023 USA
email: Peter.C.Tay1@ou.edu

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