This paper provides several error estimations for total variation (TV) type regularization, which arises in a series of areas, instance, signal and imaging processing, machine learning, etc. In this paper, some basic properties the minimizer TV regularization problem such as stability, consistency convergence rate are fully investigated. Both priori posteriori rules considered paper. Furthermor...

Esox lucius is an economically important freshwater species. Mitochondrial cytb, 12SrRNA, and 16SrRNA gene sequences were used in order to clarify the genetic variation and population structure in three E. Lucius populations, i.e., one Wild population (W) and two hatchery populations (Hatchery Population I-HPI and Hatchery Population II-HPII). A total of 55 individuals, with 19 from wild and 1...

Esox lucius is an economically important freshwater species. Mitochondrial cytb, 12SrRNA, and 16SrRNA gene sequences were used in order to clarify the genetic variation and population structure in three E. Lucius populations, i.e., one Wild population (W) and two hatchery populations (Hatchery Population I-HPI and Hatchery Population II-HPII). A total of 55 individuals, with 19 from wild and 1...

This thesis deals with the reconstruction of images where the measured data are corrupted by Poisson noise and a specific signal-dependent speckle noise, which occurs e.g. in medical ultrasound images. Since both noise types fundamentally differ from the frequently studied additive Gaussian noise in mathematical image processing, adapted variational models are required to handle these types of ...

We apply a total variation minimization technique for two tasks in image processing: denoising, which is the reconstruction of an image from noisy observations of the image; and deblurring, which is the reconstruction of an image which is convolved with a smooth kernel function and then contaminated with error. Total Variation minimization yields a nonlinear elliptic partial diierential equatio...

Abstract In the case of radiography of a cylindrically symmetric object, the Abel transform is useful for describing the tomographic measurement operator. The inverse of this operator is unbounded, so regularization is required for the computation of satisfactory inversions. We introduce the use of the total variation seminorm for this purpose, and prove the existence and uniqueness of solution...

New imaging capabilities have given rise to higher dimensional image processing. This paper presents a generalization of total variation (TV) based denoising with specific application to three-dimensional flash lidar imagery. The generalization uses a weighted norm, rather than the standard Euclidian measure, that accounts for sampling differences that may exist along different axes. We compare...