Is Quad Tree Partitioning is necessary for fractal image compression

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Is Quad Tree Partitioning necessary for fractal image compression? What is the need of it and how it is splitting the image into domain block and range block ? There are various types of quad tree partitioning available. So, which kind of quad tree partitioning technique is helpful for it and which is the optimized one ? Which kind of partitioning will happen when we apply this either equal partitioning or unequal partitioning ? What are all the references i can check for it?