The local inverse is a kind of inverse function or matrix inverse used in image and signal processing, as well as in other general areas of mathematics.
The concept of a local inverse came from interior reconstruction of CT[clarification needed] images. One interior reconstruction method first approximately reconstructs the image outside the ROI (region of interest), and then subtracts the re-projection data of the image outside the ROI from the original projection data; then this data is used to make a new reconstruction. This idea can be widened to a full inverse. Instead of directly making an inverse, the unknowns outside of the local region can be inverted first. Recalculate the data from these unknowns (outside the local region), subtract this recalculated data from the original, and then take the inverse inside the local region using this newly produced data for the outside region.
This concept is a direct extension of the local tomography, generalized inverse and iterative refinement methods. It is used to solve the inverse problem with incomplete input data, similarly to local tomography. However this concept of local inverse can also be applied to complete input data.
The localinverse is a kind of inverse function or matrix inverse used in image and signal processing, as well as in other general areas of mathematics...
solving the inverse problem: given f ( x ) = y , {\displaystyle f(x)=y,} one is solving for x, and thus the condition number of the (local) inverse must be...
In mathematics, inverse mapping theorem may refer to: the inverse function theorem on the existence of localinverses for functions with non-singular...
In mathematics, specifically differential calculus, the inverse function theorem gives a sufficient condition for a function to be invertible in a neighborhood...
reconstruction. The localinverse method below modifies the local tomography method, and may improve the reconstruction result of the local tomography; the...
mathematics, the inverse function of a function f (also called the inverse of f) is a function that undoes the operation of f. The inverse of f exists if...
An inverse problem in science is the process of calculating from a set of observations the causal factors that produced them: for example, calculating...
both a left inverse and a right inverse, then these two inverses are equal and unique; they are called the inverse element or simply the inverse. Often an...
Lina Inverse (リナ・インバース, Rina Inbāsu) is a fictional character and the main protagonist of the comic fantasy-themed light novel, manga and anime series...
discovers the IP address of both local and remote CE devices and then intercepts local Neighbor Discovery (ND) and Inverse Neighbor Discovery (IND) packets...
the generally accepted principle is that susceptibility to local anesthesia depends inversely on fiber diameter. In general, autonomic fibers Type B fibers...
exterior derivative d {\displaystyle d} restricted to closed forms has a localinverse called a homotopy operator. Since it is also nilpotent, it forms a dual...
The inverse care law is the principle that the availability of good medical or social care tends to vary inversely with the need of the population served...
Taylor series expansion of the inverse function of an analytic function. Lagrange inversion is a special case of the inverse function theorem. Suppose z...
the inverse function theorem in multivariable calculus. In fact for smooth functions (and so in particular for polynomials) a smooth localinverse function...
based on 23 critics, indicating "mixed or average" reviews. Ryan Britt of Inverse called the series "one of the boldest, weirdest, and most affecting sci-fi...
\alpha } is to use cohomotopy operator h {\displaystyle h} , that is a localinverse of δ {\displaystyle \delta } . One has to define a homotopy operator...
carries important information about the local behavior of f. In particular, the function f has a differentiable inverse function in a neighborhood of a point...
Local 58 is a horror web series created by cartoonist Kris Straub. The series is a spin-off of Straub's Candle Cove creepypasta. Currently hosted on the...
the localinverse temperature. A non-equilibrium thermodynamical system is modeled by considering macroscopic fluctuations of the localinverse temperature...
imbue it with a smooth or complex structure. Dolbeault operator has localinverse in terms of homotopy operator. If E X p , q {\displaystyle {\mathcal...
Linearity of differentiation Power rule Chain rule Local linearization Product rule Quotient rule Inverse functions and differentiation Implicit differentiation...
equivalent to being local. For an element x of the local ring R, the following are equivalent: x has a left inverse x has a right inverse x is invertible...
Sliced inverse regression (SIR) is a tool for dimensionality reduction in the field of multivariate statistics. In statistics, regression analysis is...
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