A Mumford-Shah level-set approach for the inversion and segmentation of X-ray tomography data
DOI10.1016/j.jcp.2006.06.041zbMath1114.68077OpenAlexW2035884262MaRDI QIDQ870565
Publication date: 13 March 2007
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2006.06.041
inverse problemslevel set methodshape optimizationMumford-Shah functionalactive contoursshape sensitivity analysisX-ray tomography
Computing methodologies for image processing (68U10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Optimization of shapes other than minimal surfaces (49Q10)
Related Items (28)
Cites Work
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- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- A geometric model for active contours in image processing
- Level set and total variation regularization for elliptic inverse problems with discontinuous coefficients.
- An inexact Newton-CG-type active contour approach for the minimization of the Mumford-Shah functional
- Incorporating topological derivatives into level set methods.
- DREAM\(^2\)S: deformable regions driven by an Eulerian accurate minimization method for image and video segmentation
- A multiphase level set framework for image segmentation using the Mumford and Shah model
- Level set methods and dynamic implicit surfaces
- A level set approach for the solution of a state-constrained optimal control problem
- The Mathematics of Computerized Tomography
- Level-set function approach to an inverse interface problem
- Optimal approximations by piecewise smooth functions and associated variational problems
- A level-set approach for inverse problems involving obstacles Fadil SANTOSA
- Level set methods for geometric inverse problems in linear elasticity
- Approximation of functional depending on jumps by elliptic functional via t-convergence
- Reconstruction of a two-dimensional binary obstacle by controlled evolution of a level-set
- Regularization of Ill-Posed Problems Via the Level Set Approach
- Active contours without edges
- Curve evolution implementation of the Mumford-Shah functional for image segmentation, denoising, interpolation, and magnification
- Image Segmentation Using Active Contours: Calculus of Variations or Shape Gradients?
- A Second Order Shape Optimization Approach for Image Segmentation
- Levenberg–Marquardt level set methods for inverse obstacle problems
- A shape reconstruction method for electromagnetic tomography using adjoint fields and level sets
- A birth and death model of neuron firing
- Image Segmentation by Variational Methods: Mumford and Shah Functional and the Discrete Approximations
- Computer Vision - ECCV 2004
- Level set methods for optimization problems involving geometry and constraints. I: Frequencies of a two-density inhomogeneous drum
- Mathematical problems in image processing. Partial differential equations and the calculus of variations. Foreword by Olivier Faugeras
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