A hierarchical representation for matching deformable
P. Felzenszwalb

 

We consider the problem of recognizing and detecting objects using deformable shape models. We introduce a new representation for two-dimensional objects which simultaneously captures geometric information at multiple levels of resolution. The representation is based on a hierarchical decomposition of an object's boundary. We show how this hierarchical representation can be used in an elastic matching framework, both for comparing pairs of objects and for detecting objects in cluttered images. In contrast to classical deformable boundary models our representation explicitly captures global shape information in the form of local properties at coarse resolutions. This leads to richer shape models and more accurate matching results. Our experiments demonstrate state-of-the-art classification results in several large shape datasets. We also illustrate how the hierarchical representation can be used to detect deformable objects in cluttered images.


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