Sobolev active contours
From MaRDI portal
Publication:878275
DOI10.1007/s11263-006-0635-2zbMath1477.68427OpenAlexW2090903445MaRDI QIDQ878275
Ganesh Sundaramoorthi, Andrea C. G. Mennucci, Anthony J. Yezzi
Publication date: 26 April 2007
Published in: International Journal of Computer Vision (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11263-006-0635-2
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Machine vision and scene understanding (68T45)
Related Items
Shape of elastic strings in Euclidean space ⋮ A shape representation with elastic quadratic polynomials-preservation of high curvature points under noisy conditions ⋮ New possibilities with Sobolev active contours ⋮ Accelerated Optimization in the PDE Framework: Formulations for the Manifold of Diffeomorphisms ⋮ Enforcing local context into shape statistics ⋮ A novel local region-based active contour model for image segmentation using Bayes theorem ⋮ On restricting planar curve evolution to finite dimensional implicit subspaces with non-Euclidean metric ⋮ A Gauss-Newton method for the integration of spatial normal fields in shape space ⋮ Norm-dependent convergence and stability of the inverse scattering series for diffuse and scalar waves ⋮ Translation, scale, and deformation weighted polar active contours ⋮ An improved hybrid gradient variation level set method for image segmentation and bias correction ⋮ Implicit regularization effects of the Sobolev norms in image processing ⋮ Image segmentation with a Sobolev gradient method ⋮ On the \(H^1 (ds^{\gamma})\)-gradient flow for the length functional ⋮ A bidirectional flow joint Sobolev gradient for image interpolation ⋮ Variational dynamics of free triple junctions ⋮ Constructing reparameterization invariant metrics on spaces of plane curves ⋮ Active contours with free endpoints ⋮ Variational Methods in Shape Analysis ⋮ Shape metrics based on elastic deformations ⋮ Active contour directed by the Poisson gradient vector field and edge tracking ⋮ Overview of the geometries of shape spaces and diffeomorphism groups ⋮ Geometry processing from an elastic perspective
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Approximations of shape metrics and application to shape warping and empirical shape statis\-tics
- Properties of Sobolev-type metrics in the space of curves
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- Motion by intrinsic Laplacian of curvature
- A geometric model for active contours in image processing
- Geodesic active contours
- A framework for the construction of level set methods for shape optimization and reconstruction
- An inexact Newton-CG-type active contour approach for the minimization of the Mumford-Shah functional
- Geodesic active regions and level set methods for supervised texture segmentation
- A multiphase level set framework for image segmentation using the Mumford and Shah model
- Using prior shapes in geometric active contours in a variational framework
- A level set formulation for Willmore flow
- A fast level set method for propagating interfaces
- Optimal approximations by piecewise smooth functions and associated variational problems
- On active contour models and balloons
- A Viscosity Solutions Approach to Shape-From-Shading
- Computable Elastic Distances Between Shapes
- Active contours without edges
- Curve evolution implementation of the Mumford-Shah functional for image segmentation, denoising, interpolation, and magnification
- Snakes, shapes, and gradient vector flow
- Variational, Geometric, and Level Set Methods in Computer Vision
- Computer Vision - ECCV 2004
- A survey on level set methods for inverse problems and optimal design
- Sobolev gradients and differential equations