The Combinatorics of Heuristic Search Termination for Object Recognition in Cluttered Environments

Many recognition systems use constrained search to locate objects in cluttered environments. Earlier analysis showed that the expected search is quadratic in the number of model and data features, if all the data comes from one object, but is exponential when spurious data is included. To ove...

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Bibliographic Details
Main Author: Grimson, W. Eric L.
Language:en_US
Published: 2004
Subjects:
Online Access:http://hdl.handle.net/1721.1/6027
Description
Summary:Many recognition systems use constrained search to locate objects in cluttered environments. Earlier analysis showed that the expected search is quadratic in the number of model and data features, if all the data comes from one object, but is exponential when spurious data is included. To overcome this, many methods terminate search once an interpretation that is "good enough" is found. We formally examine the combinatorics of this, showing that correct termination procedures dramatically reduce search. We provide conditions on the object model and the scene clutter such that the expected search is quartic. These results are shown to agree with empirical data for cluttered object recognition.