Ligature Instabilities in the Perceptual Organization of Shape

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Ligature Instabilities in the Perceptual Organization of Shape (1999)

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by Jonas August , Kaleem Siddiqi , Steven W. Zucker

Venue:	Computer Vision and Image Understanding
Citations:	52 - 8 self

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@INPROCEEDINGS{August99ligatureinstabilities,
    author = {Jonas August and Kaleem Siddiqi and Steven W. Zucker},
    title = {Ligature Instabilities in the Perceptual Organization of Shape},
    booktitle = {Computer Vision and Image Understanding},
    year = {1999},
    pages = {231--243}
}

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Abstract

Although the classical Blum skeleton has long been considered unstable, many have attempted to alleviate this defect through pruning. Unfortunately, these methods have an arbitrary basis, and, more importantly, they do not prevent internal structural alterations due to slight changes in an object's boundary. The result is a relative lack of development of skeleton representations for indexing object databases, despite a long history. Here we revisit a subset of the skeleton---called ligature by Blum---to demonstrate how the topological sensitivity of the skeleton can be alleviated. In particular, we show how the deletion of ligature regions leads to stable hierarchical descriptions, illustrating this point with several computational examples. We then relate ligature to a natural growth principle to provide an account of the perceptual parts of shape. Finally, we discuss the duality between the problems of shape partitioning and contour fragment grouping. 1

Keyphrases

ligature instability perceptual organization ligature region internal structural alteration topological sensitivity several computational example hierarchical description classical blum skeleton arbitrary basis contour fragment grouping shape partitioning perceptual part natural growth principle long history skeleton representation object database relative lack slight change

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