Lec12 - Outline • Motivation indexing multi-dimensional data • Quadtrees – Definition and Properties – Operations Construction Search •

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Unformatted text preview: Outline • Motivation: indexing multi-dimensional data • Quadtrees – Definition and Properties – Operations * Construction * Search • Kd-Trees – Definition and Properties – Operations * Construction * Search Lecture 11, Multi-Dimensional Data Structures p. 1 Quadtrees: definitions and properties • A rooted tree • Each internal node has four children • Each node in the quadtree corresponds to a square • Each child node represents one of the four quadrants of the parent node • Recursion stops, when the point set con- tains less than 2 points. Lecture 11, Multi-Dimensional Data Structures p. 2 A Quadtree Subdivision, a 2D example d a b c e f g h i j k l m n o A Quadtree j NE NW SW SE NE NW SE SW NE NW SW SE NE NW SW SE NE NW SW SE NE NWSW SE NE NW SW SE o i m b a SE SW NW NE f g e d c n h l k Lecture 11, Multi-Dimensional Data Structures p. 3 Operations • Construction: running time is related to the smallest distance between points – Divide the square into four quadrants, and par-...
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This note was uploaded on 07/17/2010 for the course CS 240 taught by Professor Ortiz during the Spring '09 term at Waterloo.

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Lec12 - Outline • Motivation indexing multi-dimensional data • Quadtrees – Definition and Properties – Operations Construction Search •

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