Stochastic systems: estimation, identification and adaptive control
Stochastic systems: estimation, identification and adaptive control
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
N4SID: subspace algorithms for the identification of combined deterministic-stochastic systems
Automatica (Journal of IFAC) - Special issue on statistical signal processing and control
The robust estimation of multiple motions: parametric and piecewise-smooth flow fields
Computer Vision and Image Understanding
Matrix computations (3rd ed.)
System identification (2nd ed.): theory for the user
System identification (2nd ed.): theory for the user
Digital Image Restoration
Group Actions, Homeomorphisms, and Matching: A General Framework
International Journal of Computer Vision - Special issue on statistical and computational theories of vision: Part II
International Journal of Computer Vision
Motion Deblurring and Super-resolution from an Image Sequence
ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume II - Volume II
An Algorithm for Total Variation Minimization and Applications
Journal of Mathematical Imaging and Vision
Computing Large Deformation Metric Mappings via Geodesic Flows of Diffeomorphisms
International Journal of Computer Vision
A Non-Local Algorithm for Image Denoising
CVPR '05 Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Volume 2 - Volume 02
Atmospheric Turbulence Restoration by Diffeomorphic Image Registration and Blind Deconvolution
ACIVS '08 Proceedings of the 10th International Conference on Advanced Concepts for Intelligent Vision Systems
The Split Bregman Method for L1-Regularized Problems
SIAM Journal on Imaging Sciences
Image Recovery via Nonlocal Operators
Journal of Scientific Computing
Richardson-Lucy Deblurring for Scenes under a Projective Motion Path
IEEE Transactions on Pattern Analysis and Machine Intelligence
Motion Regularization for Matting Motion Blurred Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
Generalized Stauffer–Grimson background subtraction for dynamic scenes
Machine Vision and Applications - Special Issue on Dynamic Textures in Video
Total variation blind deconvolution
IEEE Transactions on Image Processing
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In this paper we address the problem of recovering an image from a sequence of distorted versions of it, where the distortion is caused by what is commonly referred to as ground-level turbulence. In mathematical terms, such distortion can be described as the cumulative effect of a blurring kernel and a time-dependent deformation of the image domain. We introduce a statistical dynamic model for the generation of turbulence based on linear dynamical systems (LDS). We expand the model to include the unknown image as part of the unobserved state and apply Kalman filtering to estimate such state. This operation yields a blurry image where the blurring kernel is effectively isoplanatic. Applying blind nonlocal Total Variation (NL-TV) deconvolution yields a sharp final result.