Parallel Processing of Linear Quadtrees on a Mesh-Connected Computer

Abstract A region quadtree is a hierarchical data structure that is useful for storing digital images. In order to save space, a number of pointer-less quadtree representations have been proposed. In this paper we use a scheme which represents a quadtree by its leaf nodes; each node is represented by the coordinates of the upper left corner of its corresponding block and its color and size. We then present a number of algorithms which generate the linear quadtree for a binary image; perform set operations; find neighbors; compute perimeter, area, and Euler number; and label the connected components of the image. These are parallel algorithms designed to run on a mesh-connected computer. Given a linear quadtree with n 2 nodes, all but the complementing algorithm and the connected component labeling algorithm run in O ( n ) time.

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