imaging systeminverse filterlinear systems formalismspace-invariant impulseWiener filterSummary This chapter describes the linear systems model that is commonly used in relation to imaging phenomena. The idea of
III REGULARIZATION OF INVERSE PROBLEMS A vague characterization of inverse problems is that they are concerned with determining causes for a desired or an observed effect. Such problems appear in a variety of applications like (1) Medical imaging such as CT (see, e.g., [25,94,123,170]). ...
www.nature.com/scientificreports OPEN Parallel residual projection: a new paradigm for solving linear inverse problems Wei Miao, Vignesh Narayanan & Jr‑Shin Li* A grand challenge to solve a large-scale linear inverse problem (LIP) is to retain computational efficiency and ...
The novel feature of this method is that it utilizes the non-linearity as a tool in imaging, instead of considering it as a difficult perturbation of the system. To demonstrate the method, we consider the non-linear wave equation and the coupled Einstein and scalar field equations....
www.nature.com/scientificreports OPEN Parallel residual projection: a new paradigm for solving linear inverse problems Wei Miao, Vignesh Narayanan & Jr‑Shin Li* A grand challenge to solve a large-scale linear inverse problem (LIP) is to retain computational efficiency and ...
In recent years we have witnessed a growth in mathematics for deep learning, which has been used to solve inverse problems of partial differential equation
Numerical linear algebra is at the core of many problems in signal processing [1], image processing [2], inverse problems [3], [4] with applications to remote sensing [5], geophysics [6], medical imaging [7], and even some areas of machine learning such as deep neural networks [8]....
cations.Here,weconsiderindepththeextensionoftwoclassesof algorithms–MatchingPursuit(MP)andFOCalUnderdetermined SystemSolver(FOCUSS)–tothemultiplemeasurementcaseso thattheymaybeusedinapplicationssuchasneuromagnetic imaging,wheremultiplemeasurementvectorsareavailable,and ...
In the context of optical imaging, the term magnification generally means that the size of a displayed or directly observed image is increased (or more generally, that it is modified). However, it depends on the circumstances what in detail that means....
If you err on both ends of the imaging pipeline—you paint or capture images in gamma (nonlinear) space, render linear, and then fail to correct when displaying the rendered images—the resultsmightlook okay at first glance. Why? Because the nonlinear painting/capture and the nonlinear display...