Numerical solution of partial differential equations
Numerical solution of partial differential equations
A perceptually based physical error metric for realistic image synthesis
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Image replacement through texture synthesis
ICIP '97 Proceedings of the 1997 International Conference on Image Processing (ICIP '97) 3-Volume Set-Volume 3 - Volume 3
Texture Synthesis by Non-Parametric Sampling
ICCV '99 Proceedings of the International Conference on Computer Vision-Volume 2 - Volume 2
Solution of lambda-omega systems: Theta-schemes and multigrid methods
Numerische Mathematik
Using the complex Ginzburg-Landau equation for digital inpainting in 2D and 3D
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
Filling-in by joint interpolation of vector fields and gray levels
IEEE Transactions on Image Processing
Disocclusion: a variational approach using level lines
IEEE Transactions on Image Processing
Simultaneous structure and texture image inpainting
IEEE Transactions on Image Processing
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Very recently we have proposed to use a complex Ginzburg-Landau equation for high contrast inpainting, to restore higher dimensional (volumetric) data (which has applications in frame interpolation), improving sparsely sampled data and to fill in fragmentary surfaces. In this paper we review digital inpainting algorithms and compare their performance with a Ginzburg-Landau inpainting model. For the solution of the Ginzburg-Landau equation we compare the performance of several numerical algorithms. A stability and convergence analysis is given and the consequences for applications to digital inpainting are discussed.