Journal ArticleDOI
A Level Set Model for Image Classification
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A supervised classification model based on a variational approach to find an optimal partition composed of homogeneous classes with regular interfaces and shows how these forces can be defined through the minimization of a unique fonctional.Abstract:
We present a supervised classification model based on a variational approach This model is devoted to find an optimal partition composed of homogeneous classes with regular interfaces The originality of the proposed approach concerns the definition of a partition by the use of level sets Each set of regions and boundaries associated to a class is defined by a unique level set function We use as many level sets as different classes and all these level sets are moving together thanks to forces which interact in order to get an optimal partition We show how these forces can be defined through the minimization of a unique fonctional The coupled Partial Differential Equations (PDE) related to the minimization of the functional are considered through a dynamical scheme Given an initial interface set (zero level set), the different terms of the PDE's are governing the motion of interfaces such that, at convergence, we get an optimal partition as defined above Each interface is guided by internal forces (regularity of the interface), and external ones (data term, no vacuum, no regions overlapping) Several experiments were conducted on both synthetic and real imagesread more
Citations
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Journal ArticleDOI
A Multiphase Level Set Framework for Image Segmentation Using the Mumford and Shah Model
Luminita A. Vese,Tony F. Chan +1 more
TL;DR: A new multiphase level set framework for image segmentation using the Mumford and Shah model, for piecewise constant and piecewise smooth optimal approximations, and validated by numerical results for signal and image denoising and segmentation.
Journal ArticleDOI
Geodesic Active Regions and Level Set Methods for Supervised Texture Segmentation
Nikos Paragios,Rachid Deriche +1 more
TL;DR: A novel variational framework to deal with frame partition problems in Computer Vision that exploits boundary and region-based segmentation modules under a curve-based optimization objective function is presented.
Journal ArticleDOI
Using Prior Shapes in Geometric Active Contours in a Variational Framework
Yunmei Chen,Hemant D. Tagare,Sheshadri Thiruvenkadam,Feng Huang,David C. Wilson,Kaundinya S. Gopinath,Richard W. Briggs,Edward A. Geiser +7 more
TL;DR: An active contour algorithm that is capable of using prior shapes is reported that is able to find boundaries that are similar in shape to the prior, even when the entire boundary is not visible in the image.
Book
Electron tomography : methods for three-dimensional visualization of structures in the cell
TL;DR: The principles of electron microscopy have been discussed in this article, including the use of the Electron Microscope as a structure projector, and the role of the Markerless Alignment in Electron Tomography.
Journal ArticleDOI
Segmenting and tracking fluorescent cells in dynamic 3-D microscopy with coupled active surfaces
Alexandre Dufour,Vasily Shinin,Shahragim Tajbakhsh,N. Guillen-Aghion,Jean-Christophe Olivo-Marin,Christophe Zimmer +5 more
TL;DR: A fully automatic segmentation and tracking method designed to enable quantitative analyses of cellular shape and motion from dynamic three-dimensional microscopy data, robustness to low signal-to-noise ratios and the ability to handle multiple cells that may touch, divide, enter, or leave the observation volume.
References
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Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Stanley Osher,James A. Sethian +1 more
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TL;DR: In this article, the authors define and define elementary properties of BV functions, including the following: Sobolev Inequalities Compactness Capacity Quasicontinuity Precise Representations of Soboleve Functions Differentiability on Lines BV Function Differentiability and Structure Theorem Approximation and Compactness Traces Extensions Coarea Formula for BV Functions isoperimetric inequalities The Reduced Boundary The Measure Theoretic Boundary Gauss-Green Theorem Pointwise Properties this article.
Journal ArticleDOI
Geodesic active contours
TL;DR: A novel scheme for the detection of object boundaries based on active contours evolving in time according to intrinsic geometric measures of the image, allowing stable boundary detection when their gradients suffer from large variations, including gaps.
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A Multiphase Level Set Framework for Image Segmentation Using the Mumford and Shah Model
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