Fractal Image Compression Is a Promising Compression Technique In Terms of Its High Compression Ratios and Fidelity. It Has Fast Decoding, Independent Resolution and Good Image Quality at Low Bit-Rates Which Is Useful For Offline Applications. Large Encoding Time Has Limited the Use of This Compression Technique. In Fractal Based Image Encoding an Image Is Divided into Sub-Blocks and the Root Mean Square Metrics Among Them Are Calculated. to Reduce the Encoding Time Various Hardware Are Being Implemented. In This Paper We Are Studying Most Significant Hardware Implementations In Fractal Image Compression. the Hardware Design Are Aimed at Substantially Speeding Up the Encoding Process By Performing Many of the Repetitive Tasks Involved In Finding Transformations In Parallel.