A note on the gradient of a multi-image
Computer Vision, Graphics, and Image Processing - Lectures notes in computer science, Vol. 201 (G. Goos and J. Hartmanis, Eds.)
Scale-Space and Edge Detection Using Anisotropic Diffusion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Nonlinear total variation based noise removal algorithms
Proceedings of the eleventh annual international conference of the Center for Nonlinear Studies on Experimental mathematics : computational issues in nonlinear science: computational issues in nonlinear science
Theoretical Foundations of Anisotropic Diffusion in Image Processing
Proceedings of the 7th TFCV on Theoretical Foundations of Computer Vision
Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations (Applied Mathematical Sciences)
Smoothing, enhancing filters in terms of backward stochastic differential equations
ICCVG'10 Proceedings of the 2010 international conference on Computer vision and graphics: Part I
Color persistent anisotropic diffusion of images
SCIA'11 Proceedings of the 17th Scandinavian conference on Image analysis
Anisotropic diffusion of multivalued images with applications to color filtering
IEEE Transactions on Image Processing
Image quality assessment: from error visibility to structural similarity
IEEE Transactions on Image Processing
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In this paper we explore the problem of reconstruction of vector-valued images with additive Gaussian noise. In order to solve this problem we use backward stochastic differential equations. Our numerical experiments show that the new approach gives very good results and compares favourably with deterministic partial differential equation methods.