A spectral approach to total variation, International Conference on Scale Space and Variational Methods in Computer Vision, pp.36-47, 2013. ,
A total variation spectral framework for scale and texture analysis, SIAM journal on Imaging Sciences, vol.7, issue.4, pp.1937-1961, 2014. ,
Minimizing total variation flow, Differential and integral equations, vol.14, issue.3, pp.321-360, 2001. ,
Existence and nonuniqueness for the plaplacian, Communications in Partial Differential Equations, vol.12, issue.12, pp.300-126, 1987. ,
Energy dissipating flows for solving nonlinear eigenpair problems, Journal of Computational Physics, vol.375, pp.1138-1158, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01798286
On self-similar motions of a compressible fluid in a porous 305 medium, Akad. Nauk SSSR. Prikl. Mat. Meh, vol.16, issue.6, pp.79-85, 1952. ,
Fundamental solutions and asymptotic behaviour for the p-laplacian equation, Revista Matemática Iberoamericana, vol.4, issue.2, pp.339-354, 1988. ,
Renormalized solutions to a reaction-diffusion 310 system applied to image denoising, Discrete & Continuous Dynamical Systems-B, vol.21, issue.6, pp.1839-1858, 2016. ,
Variable exponent, linear growth functionals in image restoration, SIAM journal on Applied Mathematics, vol.66, issue.4, pp.1383-1406, 2006. ,
On backward p (x)-parabolic equations for image enhancement, Numerical Functional Analysis and Optimization, vol.36, issue.2, pp.147-168, 2015. ,
Level set evolution model for image segmentation based on variable exponent p-laplace equation, Applied Mathematical Modelling, vol.320, pp.7739-7750, 2016. ,
Image restoration based on adaptive p-laplace diffusion, Image and Signal Processing (CISP), 2010 3rd International Congress on, vol.1, pp.143-146, 2010. ,
A variable exponent p-laplace variational model preserv-325 ing texture for image interpolation, Applications of Computer Vision Workshops, pp.36-41, 2017. ,
A multi-frame super-resolution method based on the variable-exponent nonlinear diffusion regularizer, EURASIP 330 Journal on Image and Video Processing, vol.2015, issue.1, p.22, 2015. ,
, A damped flow for image denoising
A p-laplace equation model for image denoising, Inform ,
, p-laplacian driven image processing, vol.5, 2007.
Image processing by minimising l p norms, Pattern recog-340 nition and image analysis, vol.23, pp.226-235, 2013. ,
Geometrical pdes based on second-order derivatives of gauge coordinates in image processing, Image and Vision Computing, vol.27, issue.8, pp.1023-1034, 2009. ,
Total variation image restoration: numerical methods and extensions, Proceedings., International Conference on, vol.3, pp.384-387, 1997. ,
The game theoretic p-laplacian and semi-supervised learning 350 with few labels, Nonlinearity, vol.32, issue.1, p.301, 2018. ,
Algorithms for semisupervised learning on graphs, 2018. ,
p-laplacian regularization for scene recognition, IEEE transactions on cybernetics, issue.99, pp.1-14, 2018. ,
Hypergraph p-laplacian regularization for remotely sensed image recognition, IEEE Transactions on Geoscience and Remote Sensing, vol.57, issue.3, pp.1585-1595, 2018. ,
Spectral decompositions using one-homogeneous functionals, SIAM Journal on Imaging, vol.360, issue.3, pp.1374-1408, 2016. ,
, Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert, vol.5, 1973.
Applications of fractional calculus, Applied Mathematical Sciences, vol.4, issue.21, pp.1021-1032, 2010. ,
, Applied Mathematics, vol.4, issue.07, p.23, 2013.
Fractional calculus: an introduction for physicists, World Scientific, 2014. ,
, Theory and applications of 370 fractional differential equations, vol.204, 2006.
, Fractional integrals and derivatives: theory and applications
, Asymptotic profiles of nonlinear homogeneous evolution equations of gradient flow type
The total variation flow in rn, Journal of Differential Equations, vol.184, issue.2, pp.475-525, 2002. ,
Nonlinear spectral decompositions by gradient flows of one-homogeneous functionals ,
Inverse scale space decomposition, Inverse Problems, vol.34, issue.4, p.45008, 2018. ,
Learning nonlinear spectral filters for color image reconstruction, Proceedings of the IEEE 385 International Conference on Computer Vision, pp.289-297, 2015. ,
Multiscale segmentation via bregman distances and nonlinear spectral anal ,
Spectral total-variation local scale signatures for image manipulation and fusiondoi ,
Smoothing and decay estimates for nonlinear diffusion equations: equations of porous medium type, vol.33, 2006. ,
Degenerate parabolic equations, Springer Science & Business Media, 2012. ,
The dirichlet problem for the fractional p-laplacian evolution equation, Journal of Differential Equations, vol.260, issue.7, pp.6038-6056, 2016. ,
An algorithm for total variation minimization and applications, Journal of Mathematical imaging and vision, vol.20, issue.1-2, pp.89-97, 2004. ,
Stable explicit p-laplacian flows based on nonlinear eigenvalue analysis, International Conference on Scale Space and Variational Methods in Computer Vision, pp.315-327, 2019. ,
Discrete-time fractional-order controllers, Fractional Calculus and Applied Analysis, vol.4, pp.47-66, 2001. ,
, Solution paths of variational regularization methods for inverse problems
De progressionibus transcendentibus seu quarum termini gen-410 erales algebraice dari nequeunt, Commentarii academiae scientiarum Petropolitanae (1738), pp.36-57 ,