In this paper, we focus on the restoration of images that have incomplete data in either the image domain or the transformed domain or in both. The transform used can be any orthonormal or tight frame transforms such as orthonormal wavelets, tight framelets, the discrete Fourier transform, the Gabor transform, the discrete cosine transform, and the discrete local cosine transform. We propose an...

The discrete multi-way layout is a widespread data-type associated with regression, experimental designs, gene or protein chips, digital images or videos, and more. A discrete multi-way layout has a finite number of factor level combinations. The layout may be unbalanced or incomplete or both. We consider candidate fits to an incomplete layout that are least squares fits to certain submodels in...

this paper presents new sensitivity-based methods for detection of structural damage using incomplete noisy modal data. these methods are based on the first-order derivative of modal parameters. changes of natural frequency do not usually provide spatial information on the structural damage. they are also not sensitive to the local damage. in this paper, a new sensitivity function is proposed u...