Abstract
We consider the problem of testing the roundness of a manufactured object using the finger probing model of Cole and Yap 1. When the object being tested is a disk and it’s center is known, we describe a procedure which uses O(n)pobesand O(n)computation time. (Here n = ¦1 /q ¦, whee q is the quality of the object.)When the center of the object is not known, a procedure using O (n )pobesand O (n log n ) computation time is described. When the object being tested is a cylinder of length l, a procedure is described which uses O (ln2)probes and O (ln2log ln )computation time. Lowe bounds a e also given which show that these procedures are optimal in terms of the number of probes used.
This work was funded in part by the Natural Sciences and Engineering Research Council of Canada and by ALMERCO Inc.
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References
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Bose, P., Morin, P. (1998). Testing the Quality of Manufactured Disks and Cylinders. In: Chwa, KY., Ibarra, O.H. (eds) Algorithms and Computation. ISAAC 1998. Lecture Notes in Computer Science, vol 1533. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-49381-6_15
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DOI: https://doi.org/10.1007/3-540-49381-6_15
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