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active nodes adjacent algorithm Applications approximation B-tree BLACK node boundary bucket Computer Graphics Computer Science Computer Vision Computing Surveys Conference connected component labeling contains coordinates corresponding curve data points database decomposition display edge efficient encoding example Figure Gargantini geometric Graphics and Image grid blocks grid directory Grid File Hanan Samet hidden-surface Hierarchical Data Structures IEEE Transactions Image Processing insert intersection J.L. Bentley k-d tree labeled leaf nodes line segments linear quadtrees merging method multidimensional MX quadtree neighbor number of nodes object octants octree overlap patches pixel point quadtree polygon PR quadtree problem Proceedings pyramid q-edges quad tree quadrant Quadtree and Related quadtree representation query raster rectangle recursive region quadtree regular decomposition Related Hierarchical Data represented result Rosenfeld space split square strip tree subdivision surface Tamminen techniques tile tion traversal tree traversal University of Maryland vector Volumes