deconvtv - an algorithm for total variation deconvolution Stanley H. Chan, Philip E. Gill and Truong Q. Nguyen

Introduction

deconvtv refers to DECONVolution for Total Variation problems. It is a fast numerical optimization algorithm for the following two total variation based image and video deblurring and denoising problems:

where the (isotropic) total variation norm is defined as (anisotropic TV can be defined analogously):

Here, the input data f is a three-dimensional space-time signal, which is the generalization of 2D images. Therefore, deconvtv is able to solve a wide range of image and video restoration problems.

Publication

• S. Chan, R. Khoshabeh, K. Gibson, P. Gill and T. Nguyen, "An augmented Lagrangian method for total variation video restoration," IEEE Transactions on Image Processing, vol. 20, issue 11, pp.3097-3111, Nov 2011.
• S. Chan, R. Khoshabeh, K. Gibson, P. Gill and T. Nguyen, "An augmented Lagrangian method for video restoration," in Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP '11), pp.941-944, Prague, May 2011.
• R. Khoshabeh, S. Chan and T. Nguyen, "Spatio-temporal consistency in video disparity estimation," in Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP '11), pp.885-888, Prague, May 2011.

Examples

• Image deblurring
• Video deblurring
• Hot-air turbulence removal
• Disparity refinement

MATLAB Code

The MATLAB package supports (1) gray scale images, (2) color images, (3) gray scale video.

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