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Joint Induction of Shape Features and Tree Classifiers (1997)

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by Donald Geman , Yali Amit , Ken Wilder
Venue:IEEE Trans. PAMI
Citations:84 - 9 self
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BibTeX

@ARTICLE{Geman97jointinduction,
    author = {Donald Geman and Yali Amit and Ken Wilder},
    title = {Joint Induction of Shape Features and Tree Classifiers},
    journal = {IEEE Trans. PAMI},
    year = {1997},
    volume = {19}
}

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Abstract

We introduce a very large family of binary features for two-dimensional shapes. The salient ones for separating particular shapes are determined by inductive learning during the construction of classi cation trees. There is a feature for every possible geometric arrangement of local topographic codes. The arrangements express coarse constraints on relative angles and distances among the code locations and are nearly invariant to substantial a ne and non-linear deformations. They are also partially ordered, which makes it possible to narrow the search for informative ones at each node of the tree. Di erent trees correspond to di erent aspects of shape. They are statistically weakly dependent due to randomization and are aggregated in a simple way. Adapting the algorithm to a shape family is then fully automatic once training samples are provided. As an illustration, we classify handwritten digits from the NIST database � the error rate is:7%.

Keyphrases

tree classifier    shape feature    joint induction    salient one    erent aspect    training sample    non-linear deformation    handwritten digit    weakly dependent    arrangement express coarse constraint    particular shape    two-dimensional shape    simple way    di erent tree    informative one    binary feature    shape family    large family    classi cation tree    nist database    inductive learning    code location    local topographic code    relative angle    error rate    possible geometric arrangement   

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