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Pattern Recognition
Volume 23, Issue 6, 1990, Pages 547-552
 
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doi:10.1016/0031-3203(90)90032-G    How to Cite or Link Using DOI (Opens New Window)
Copyright © 1990 Published by Elsevier Science B.V.

Following boundaries of discrete binary objects in space

Alan Bryant* and Jack Bryant, Corresponding Author Contact Information

* Robotics Laboratory, Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843-3368, U.S.A. Center for Approximation Theory, Department of Mathematics, Texas A&M University, College Station, TX 77843-3368, U.S.A.

Received 26 July 1988; 
revised 26 April 1989; 
accepted 1 June 1989. ;
Available online 19 May 2003.

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Abstract

Two algorithms for finding and following the boundaries of a set of discrete objects in n-dimensional space are described; they are compared in three dimensions. In three dimensions, the new method is found to be about three times as fast as the straightforward approach. It operates on the boundary (surface) of the object rather than the whole object (i.e. the set of volume elements). The boundary, in turn, is found very rapidly using logical operations on the bit patterns by which the discrete object is stored. Applications to three dimensional shape recognition and display problems are discussed.

Author Keywords: Boundary following; Discrete objects; Boundary detection

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