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Operations on Images Using Quad Trees

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2 Author(s)
Hunter, Gregory M. ; MEMBER, IEEE, Decisions and Designs, Inc., McLean, VA 22101. ; Steiglitz, Kenneth

A quad tree for representing a picture is a tree in which successively deeper levels represent successively finer subdivisions of picture area. An algorithm is given for superposing N quad trees in time proportional to the total number of nodes in the trees. Warnock-type algorithms are then presented for building the quad tree for the picture of the boundary of a polygon, and for coloring the interior of such a polygon. These algorithms take O(v + p + q) time, where v is the number of polygon vertices, p is the polygon perimeter, and q is a resolution parameter. When the resolution q is fixed, these algorithms are asymptotically optimal.

Published in:

Pattern Analysis and Machine Intelligence, IEEE Transactions on  (Volume:PAMI-1 ,  Issue: 2 )

Date of Publication:

April 1979

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