Pattern matching of 2‐D shape using hierarchical descriptions

Abstract
This paper introduces a system for hierarchical description of two‐dimensional shapes on the basis of scale space analysis. We propose a group of simple primitives for describing curved line segments; they are suitable for hierarchical analysis. To realize effective matching, nineteen rules are necessary and sufficient to derive a tree. The tree derived from the analysis yields the hierarchical structure of a shape and enables efficient matching of objects in a top‐down manner. An algorithm to create a compact database from trees is also shown. The sophisticated database is shown to be useful for recognizing objects by their category. Several examples showed that matching for skewed or occluded shapes can be done by searching for a subtree in the database.

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