[1] In this paper, we consider the problem how to solve the kernel-based bidirectional reflectance distribution function (BRDF) models for the retrieval of land surface albedos. The above problem is an ill-posed inverse problem. We will employ a new regularization technique to alleviate the ill-posedness. The Tikhonov regularization has been discussed for BRDF model inversion, however, much stu...

Model-based image reconstruction techniques yield better quantitative accuracy in photoacoustic image reconstruction. In this work, an exponential filtering of singular values was proposed for carrying out the image reconstruction in photoacoustic tomography. The results were compared with widely popular Tikhonov regularization, time reversal, and the state of the art least-squares QR-based rec...

The χ principle and the unbiased predictive risk estimator are used to determine optimal regularization parameters in the context of 3D focusing gravity inversion with the minimum support stabilizer. At each iteration of the focusing inversion the minimum support stabilizer is determined and then the fidelity term is updated using the standard form transformation. Solution of the resulting Tikh...

Tikhonov regularization approach and block motion model are used to solve super-resolution problem for face video data. Video is preprocessed by 2-D empirical mode decomposition method to suppress illumination artifacts for super-resolution.

This handout addresses the errors in parameters estimated from fitting a function to data. Any sample of measured quantities will naturally contain some variability. Normal variations in data propagate through any equation or function applied to the data. In general we may be interested in combining the data in some mathematical way to compute another quantity. For example , we may be intereste...

In this article parameter estimation problems for a nonlinear elliptic problem are considered. Using Tikhonov regularization techniques the identification problems are formulated in terms of optimal control problems which are solved numerically by an augmented Lagrangian method combined with a globalized sequential quadratic programming algorithm. For the discretization of the partial different...