1998
DOI: 10.1007/978-1-4471-1555-7
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Active Contours

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Cited by 878 publications
(697 citation statements)
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“…We follow here the approach in [7] to which we refer the interested reader for all of the details. The overall method is based on active contours implemented via level set techniques [10], [15], [14], [2]. In our case, the evolution is driven by the gradient flow derived from an energy functional that is based on the Bhattacharyya distance.…”
Section: Information-theoretic Approach To Segmentationmentioning
confidence: 99%
See 1 more Smart Citation
“…We follow here the approach in [7] to which we refer the interested reader for all of the details. The overall method is based on active contours implemented via level set techniques [10], [15], [14], [2]. In our case, the evolution is driven by the gradient flow derived from an energy functional that is based on the Bhattacharyya distance.…”
Section: Information-theoretic Approach To Segmentationmentioning
confidence: 99%
“…Thus the functions the functions P − (x | Ψ(z)) and P + (x | Ψ(z)) given by (2) and (3) are kernel-based estimates of the probability density functions pdf of the image features observed over the sub-domains Ω − and Ω + . The key idea underpinning the segmentation approach of [7] is that for a properly selected subset of image features, the "overlap" between the informational contents of the object and of the background has to be minimal.…”
Section: A Bhattacharyya Flowmentioning
confidence: 99%
“…Of course this work relates more generically to active contours, e.g. [4,13,5,16] and references therein. In the next section we introduce our model, and in Section 4 we illustrate our approach to infer its (infinite-dimensional) constitutive elements.…”
Section: Relation To Existing Workmentioning
confidence: 99%
“…Consequently, an energy term is associated with the contour and is designed to be inversely proportional to both the contour's smoothness and its fit to the image data, in order to segment the desired image features. Deformation of the contour in the image will change its energy; thus, one can imagine an energy surface on top of which the contour moves (in a way that resembles the slithering of a snake, and hence the name) while seeking valleys of low energy [5].…”
Section: Introductionmentioning
confidence: 99%