Electronic Journal of Differential Equations,
Conference 07 (2001), pp. 61-70.
Title: Determination of the number of texture segments using wavelets.
Authors: Joseph P. Havlicek (Univ. of Oklahoma, Norman, OK, USA)
Peter C. Tay (Univ. of Oklahoma, Norman, OK USA)
Abstract:
This paper presents a robust method of determining the number of texture
segments in an image. We take an $N \times N$ image and decompose it into
$n \times n$ blocks. A three-scale two-dimensional discrete wavelet
transform is performed on each $n \times n$ block. For each
$n \times n$ 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.
Math Subject Classifications: 65T60, 42C40.
Key Words: Differential geometry; algebraic geometry