Projects

Image Denoising.

Description : In this project, we develop a Poisson denoising model based on the fractional-order total variation (FOTV) regularization.

Algorithms : To solve the problem eciently, we propose three numerical algorithms based on the Chambolle-Pock primal-dual method, a forward-backward splitting scheme, and the alternating direction method of multipliers (ADMM), each with guaranteed convergence.

Dataset: One synthetic image and five standard images, i.e., Cameraman, Penguin, Train, Mandrill, and Barbara, all of which are widely used in the image processing literature.

Image deblurring.

Description : In this project, we develop image deblurring model that deal with Poisson noise.

Algorithms : We develop an efficient algorithm based on the alternating direction method of multipliers (ADMM).

Dataset: we use the four standard testing images, named by “Cameraman,” “Galaxy,” “Phantom,” and “Shape”.

Blind Image deconvolution.

Description : In this project, we develop image deblurring model that deal with Poisson noise.

Algorithms : Expectation-maximization (EM) and ADMM.

Dataset: We conduct blind deconvolution using three testing images: Shape, Spine, and Satellite.

CT Image reconstruction.

Description : In this project, we develop image deblurring model that deal with Poisson noise.

Algorithms : ADMM.

Dataset: The Shepp–Logan phantom is a standard test image. It serves as the model of a human head in the development and testing of image reconstruction algorithms.

Image compression using SVD and NMF.

Description :

Algorithms :

Dataset:

PET Image Reconstruction.

Description :

Algorithms :

Dataset: