Document Type


Date of Award


Degree Name

Master of Science in Electrical Engineering - (M.S.)


Electrical Engineering

First Advisor

Sotirios Ziavras

Second Advisor

John D. Carpinelli

Third Advisor

Bruce David Parker


Hierarchically structured arrays of processors have widely been used in the low and intermediate phases of image processing and computer vision. Since the pyramid structure efficiently supports local and global operations extensively required by these phases, it has been widely used for relevant algorithms. Multilevel systems keep all the advantages of the pyramid structure while providing a general hierarchical structure that is easier to be used for the development of several algorithms and may also provide higher performance.

Although the cost of pyramid machines may be tremendously high, they have limited applications. In contrast, the hypercube network is widely used in the field of parallel processing because of its small diameter and its rich interconnection structure. Several algorithms have been developed that embed pyramids into the hypercube. This thesis extends and also implements three pyramid embedding algorithms in order to embed multilevel structures into the hypercube. These embedding algorithms are evaluated for the Connection Machine system CM-2 that comprises a 10-dimensional hypercube. The results for multilevel structures are compared with those for the pyramid; three image processing algorithms are used for this purpose. The results prove that the embedding of multilevel structures, other than the pyramid, yields better performance in most of the cases.

This thesis also studies the implementation of stochastic pyramids on the hypercube. The structure of stochastic pyramids adapt to the contents of the image. Therefore artifacts present in the regular pyramid due to its rigid structure are alleviated. Connection Machine results are produced for the problem of connected component extraction using stochastic pyramids.



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