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231223s2009 xx |||||o 00| ||eng c |
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|a 10.1109/TIP.2009.2017343
|2 doi
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|a pubmed24n0627.xml
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|a DE-627
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|e rakwb
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|a eng
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|a Bernard, Olivier
|e verfasserin
|4 aut
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| 245 |
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|a Variational B-spline level-set
|b a linear filtering approach for fast deformable model evolution
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|c 2009
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|a Text
|b txt
|2 rdacontent
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|a ƒaComputermedien
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|2 rdamedia
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|a ƒa Online-Ressource
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|2 rdacarrier
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|a Date Completed 27.08.2009
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|a Date Revised 18.05.2009
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|a published: Print-Electronic
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|a Citation Status MEDLINE
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|a In the field of image segmentation, most level-set-based active-contour approaches take advantage of a discrete representation of the associated implicit function. We present in this paper a different formulation where the implicit function is modeled as a continuous parametric function expressed on a B-spline basis. Starting from the active-contour energy functional, we show that this formulation allows us to compute the solution as a restriction of the variational problem on the space spanned by the B-splines. As a consequence, the minimization of the functional is directly obtained in terms of the B-spline coefficients. We also show that each step of this minimization may be expressed through a convolution operation. Because the B-spline functions are separable, this convolution may in turn be performed as a sequence of simple 1-D convolutions, which yields an efficient algorithm. As a further consequence, each step of the level-set evolution may be interpreted as a filtering operation with a B-spline kernel. Such filtering induces an intrinsic smoothing in the algorithm, which can be controlled explicitly via the degree and the scale of the chosen B-spline kernel. We illustrate the behavior of this approach on simulated as well as experimental images from various fields
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|a Journal Article
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|a Research Support, Non-U.S. Gov't
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| 700 |
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|a Friboulet, Denis
|e verfasserin
|4 aut
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| 700 |
1 |
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|a Thévenaz, Philippe
|e verfasserin
|4 aut
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| 700 |
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|a Unser, Michael
|e verfasserin
|4 aut
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| 773 |
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|i Enthalten in
|t IEEE transactions on image processing : a publication of the IEEE Signal Processing Society
|d 1992
|g 18(2009), 6 vom: 01. Juni, Seite 1179-91
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|x 1941-0042
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| 773 |
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|g volume:18
|g year:2009
|g number:6
|g day:01
|g month:06
|g pages:1179-91
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|u http://dx.doi.org/10.1109/TIP.2009.2017343
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