9 A novel method is introduced for optimal estimation of rigid camera motion from instantaneous velocity measurements. The error 10 surface associated with this problem is highly complex and existing algorithms suffer heavily from local minima. Repeated minimization 11 with different random initializations and selection of the minimum-cost solution are a common (albeit ad hoc) procedure to incr...

Recently, Kulikov presented the idea of double quasi-consistency, which facilitates global error estimation and control, considerably. More precisely, a local error control implemented in doubly quasi-consistent numerical methods plays a part of global error control at the same time. However, Kulikov studied only Nordsieck formulas and proved that there exists no doubly quasi-consistent scheme ...

Kim, J., and Gleser, L. J. (2000), “SIMEX Approaches to Measurement Error in ROC Studies,” Communications in Statistics. Theory and Methods, 29, 2473–2491. Kulathinal, S. B., Kuulasmaa, K., and Gasbarra, D. (2002), “Estimation of an Errors-in-Variables Regression Model When the Variances of the Measurement Errors Vary Between the Observations,” Statistics in Medicine, 21, 1089–1101. Li, T., and...

A novel method is introduced for optimal estimation of rigid camera motion from instantaneous velocity measurements. The error surface associated with this problem is highly complex and existing algorithms suffer heavily from local minima. Repeated minimization with different random initializations and selection of the minimum-cost solution are a common (albeit ad hoc) procedure to increase the...

Bandwidth plays an important role in determining the performance of nonparametric estimators, such as the local constant estimator. In this paper, we propose a Bayesian approach to bandwidth estimation for local constant estimators of time–varying coefficients in time series models. We establish a large sample theory for the proposed bandwidth estimator and Bayesian estimators of the unknown pa...

Photoacoustic (PA) imaging is capable of probing blood oxygen saturation (sO2), which has been shown to correlate with tissue hypoxia, a promising cancer biomarker. However, wavelength-dependent local fluence changes can compromise sO2 estimation accuracy in tissue. This work investigates using PA imaging with interstitial irradiation and local fluence correction to assess precision and accurac...

The higher order multipoint meshless finite difference method (MFDM) is considered in this paper. The new approach is based on arbitrary irregular meshes, the moving weighted least squares approximation and the local or various global formulations of boundary value problems. A priori and a posteriori errors constitute the important part of engineering problem analysis. The paper is focused on a...

the current paper contributes a novel framework for solving a class of linear matrix differential equations. to do so, the operational matrix of the derivative based on the shifted bernoulli polynomials together with the collocation method are exploited to reduce the main problem to system of linear matrix equations. an error estimation of presented method is provided. numerical experiments are...

In this article we consider the application of the generalization of the symmetric version of the interior penalty discontinuous Galerkin finite element method to the numerical approximation of the compressible Navier– Stokes equations. In particular, we consider the a posteriori error analysis and adaptive mesh design for the underlying discretization method. Indeed, by employing a duality arg...