A topology preserving level set method for geometric deformable models

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A topology preserving level set method for geometric deformable models (2003)

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by Xiao Han , Chenyang Xu , Jerry L. Prince

Venue:	IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE
Citations:	117 - 7 self

BibTeX

@ARTICLE{Han03atopology,
    author = {Xiao Han and Chenyang Xu and Jerry L. Prince},
    title = {A topology preserving level set method for geometric deformable models},
    journal = {IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE},
    year = {2003},
    volume = {25},
    number = {6},
    pages = {755--768}
}

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Abstract

Active contour and surface models, also known as deformable models, are powerful image segmentation techniques. Geometric deformable models implemented using level set methods have advantages over parametric models due to their intrinsic behavior, parameterization independence, and ease of implementation. However, a long claimed advantage of geometric deformable models—the ability to automatically handle topology changes—turns out to be a liability in applications where the object to be segmented has a known topology that must be preserved. In this paper, we present a new class of geometric deformable models designed using a novel topology-preserving level set method, which achieves topology preservation by applying the simple point concept from digital topology. These new models maintain the other advantages of standard geometric deformable models including subpixel accuracy and production of nonintersecting curves or surfaces. Moreover, since the topology-preserving constraint is enforced efficiently through local computations, the resulting algorithm incurs only nominal computational overhead over standard geometric deformable models. Several experiments on simulated and real data are provided to demonstrate the performance of this new deformable model algorithm.

Keyphrases

geometric deformable model standard geometric deformable model intrinsic behavior nominal computational overhead real data parameterization independence long claimed advantage deformable model novel topology-preserving level subpixel accuracy topology change active contour new class parametric model local computation powerful image segmentation technique topology preservation new model several experiment surface model simple point concept topology-preserving constraint digital topology new deformable model algorithm

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