A method for the correction of images that are subject to spatial warping is presented. The correction method applies to twodimensional images and employs the construction of a complexvalued interpolating polynomial. The construction is based on defining a set of points in an image whose desired location is known. The coefficients of the polynomial are shown to satisfy a recursion relation that...

Most widely used geometric correction methods rely on ground control points to empirically determine a mathematical coordinate transformation to project the distorted image into the reference image. However, conventional methods usually employed the same correction formula in the whole image which few considered the seriously geometric distortion problem causing by imaging with a large view ang...

LiDAR (Light Detection And Ranging) systems are capable of providing 3D positional and spectral information (in the utilized spectrum range) of the mapped surface. Due to systematic errors in the system parameters and measurements, LiDAR systems require geometric calibration and radiometric correction of the intensity data in order to maximize the benefit from the collected positional and spect...

This work is on development of a method for automatic registration of satellite images acquired on different dates, for both geometric and radiometric correction with respect to a reference image. Mutual information statistics is used as the similarity metric of geometric and radiometric registration. Affine and linear transformations are used in geometric and radiometric correction respectivel...

The authors generalise the concept of the geometric phase in stochastic kinetics to a non-cyclic evolution. Its application is demonstrated on kinetics of the Michaelis-Menten reaction. It is shown that the non-periodic geometric phase is responsible for the correction to the Michaelis-Menten law when parameters, such as a substrate concentration, are changing with time. The authors apply these...

For projector-based augmented reality systems, geometric correction is a crucial function. There have been many researches on the geometric correction in the literature. However, most of them focused only on static projection surfaces and could not give us a solution for dynamic surfaces (with varying geometry in time). In this paper, we aim at providing a simple and robust framework for projec...

The acquirement of ground control points (GCPs) is a basic and important step in the geometric correction of remotely sensed imagery. In particular, the spatial distribution of GCPs may affect the accuracy and quality of image correction. In this paper, both a simulation experiment and actual-image analyses are carried out to investigate the effect of the sampling design for selecting GCPs on t...

Consider the steady neutron transport equation with diffusive boundary condition. In [17] and [18], it was discovered that geometric correction is necessary for the Milne problem of Knudsen-layer construction in a disk or annulus. In this paper, we establish diffusive limit for a 2D convex domain. Our contribution relies on novel weighted W 1,∞ estimates for the Milne problem with geometric cor...

UNLABELLED This article demonstrates resolution recovery in 18F SPECT image reconstruction by using an iterative algorithm that corrects for the system geometric response. METHODS Patient and phantom studies were performed using a Picker PRISM 3000 three-detector SPECT system (Picker International, Inc., Cleveland, OH) to image 18F with 511 keV collimators. A measured point response function ...