A New Algorithm For Computing Liquid Crystal Stable Configurations: The Harmonic Mapping Case
SIAM Journal on Numerical Analysis
International Journal of Computer Vision
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Filtering, Segmentation, and Depth
Filtering, Segmentation, and Depth
Numerical Methods for p-Harmonic Flows and Applications to Image Processing
SIAM Journal on Numerical Analysis
A phase field approach in the numerical study of the elastic bending energy for vesicle membranes
Journal of Computational Physics
Numerical methods for minimization problems constrained to S1 and S2
Journal of Computational Physics
Stability and Convergence of Finite-Element Approximation Schemes for Harmonic Maps
SIAM Journal on Numerical Analysis
Image Processing And Analysis: Variational, Pde, Wavelet, And Stochastic Methods
Image Processing And Analysis: Variational, Pde, Wavelet, And Stochastic Methods
A parametric finite element method for fourth order geometric evolution equations
Journal of Computational Physics
Computational parametric Willmore flow
Numerische Mathematik
Higher-Order Feature-Preserving Geometric Regularization
SIAM Journal on Imaging Sciences
An Adaptive Finite Element Approximation of a Variational Model of Brittle Fracture
SIAM Journal on Numerical Analysis
A general framework for low level vision
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
Color image enhancement via chromaticity diffusion
IEEE Transactions on Image Processing
Variational Models for Image Colorization via Chromaticity and Brightness Decomposition
IEEE Transactions on Image Processing
Lagrangian multipliers and split Bregman methods for minimization problems constrained on Sn-1
Journal of Visual Communication and Image Representation
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Two fully discrete finite element-based algorithms to approximate the $L^2$ gradient flow of the Mumford-Shah-Euler functional for unit vector fields are proposed, analyzed, and compared. The first scheme uses a penalization strategy, and the second a Lagrange multiplier, to approximate and enforce the sphere constraint, respectively. Both schemes are applied to color image inpainting in the chromaticity and brightness color model and are also compared to inpainting with the standard Mumford-Shah functional, as well as channelwise red-green-blue inpainting.