الفهرس 
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Abstract
In this work, information preserving
image encoding techniques aresurveyed
significance of QUADTREE representation of digital The binary images as well as its drawbacks are outlined. It is established that the GRAPH presentation of guadtrees solves their major drawbacks In chapter one a on information ending by The graph survey definition of images representad by guadtrees as defined by H.Samet in Marc11 85 is discussed. The need for a new graph is established. In chapter two, two pointerless representat ions of quadtrees, namely, the DF expression and the linear quadtree representation are discussed It IS shown t1-1at linear guadtree representation is more promising as a base for defining tlw new graph. Also, the new graph and its capabilites are discussed abstractly.
11. In chapter three, the practical implementation of the novel graph as well as its usage for computing geometric properties and distance transform are presented. The complexity of the algorithm is also discussed.
In chapt er four, six ca se st udi es are cons i dered to demonestrate the basic characteristics of quadtrees and the capabilities and validity of the proposed graph. The actunl C011.are measured and shown to be consistent with the analytical complexity results derived in chapter 3. In chapter five, The conclusions and future extensions of the work are presented. Hi.