For low bit-rate compression applications, segmentation-based coding m
ethods provide, in general, high compression ratios when compared with
traditional (e.g., transform and subband) coding approaches. In this
paper, we present a new segmentation-based image coding method that di
vides the desired image using binary space partitioning (BSP). The BSP
approach partitions the desired image recursively by arbitrarily orie
nted lines in a hierarchical manner, This recursive partitioning gener
ates a binary tree, which is referred to as the BSP-tree representatio
n of the desired image. The most critical aspect of the BSP-tree metho
d is the criterion used to select the partitioning lines of the BSP tr
ee representation. In previous works, we developed novel methods for s
electing the BSP-tree lines, and showed that the BSP approach provides
efficient segmentation of images. In this paper, we describe a hierar
chical approach for coding the partitioning lines of the BSP-tree repr
esentation. We also show that the image signal within the different re
gions (resulting from the recursive partitioning) can be represented u
sing low-order polynomials. Furthermore, we employ an optimum pruning
algorithm to minimize the bit rate of the BSP tree representation (for
a given budget constraint) while minimizing distortion. Simulation re
sults and comparisons with other compression methods are also presente
d.