In this paper, a rate-distortion based image segmentation algorithm for seg
mentation-based coding is presented using a recursive merging with region a
djacency graph (RAG). In the method, the dissimilarity between a pair of ad
jacent regions is represented as a Lagrangian cost function considered in a
rate-distortion sense. Lagrange multiplier is estimated in each merging st
ep, a pair of adjacent regions whose cost is minimal is searched, and then
the pair of regions are merged into a new region. The merging step is recur
sively performed until some termination criterion is reached. The proposed
method thus is suitable for region- or segmentation-based coding. Experimen
tal results for 256 x 256 Lena show that segmentation-based coding using th
e proposed method yields PSNR improvement of about 3.5 similar to4.5 dB, 1.
8 similar to2.0 dB, and 1.2 similar to1.5 dB over mean-difference based met
hod, distortion-based method, and JPEG, respectively.