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