Searching geometric libraries using generalized epsilon-congruence

Jonathan Phillips

doi:10.1117/12.164996

1 December 1993 Searching geometric libraries using generalized ε-congruence

Jonathan Phillips

Proceedings Volume 2060, Vision Geometry II; (1993) https://doi.org/10.1117/12.164996
Event: Optical Tools for Manufacturing and Advanced Automation, 1993, Boston, MA, United States

Abstract

In computer vision, one of the major problems is how to identify an observed object in an image by comparing it to a set of models in a library. The comparison is made using a shape metric which measures the similarity between different shapes. The observed object is classified as the library object with which it minimizes the shape metric. This paper looks at algorithms for efficiently searching a geometric library to identify an observed object in the image. All objects are modeled as points and (epsilon) -congruence is used as the shape metric. Algorithms are presented for searching two classes of geometric libraries, ordered linear libraries and convex linear libraries. The complexity of the algorithms is expressed in terms of the number of objects in the library, the size of the objects, the error in the optimal match, and the geometric structure.

Citation Download Citation

Jonathan Phillips "Searching geometric libraries using generalized ε-congruence", Proc. SPIE 2060, Vision Geometry II, (1 December 1993); https://doi.org/10.1117/12.164996

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