Technical Note—Rejoinder

Taha, Hamdy A.; Curry, Guy L.

doi:10.1287/opre.21.1.372

Cited by 19 publications

(25 citation statements)

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“…DP is a method for finding the optimal solution to a problem in terms of the optimal solution to a set of subproblems (33). In the case of IDP, the DP problem is to find the optimal solution for a one-dimensional registration.…”

Section: Registration Methodsmentioning

confidence: 99%

Evaluating the accuracy and impact of registration in dynamic contrast‐enhanced breast MRI

Hill¹,

Mehnert²,

Crozier³

et al. 2009

Concepts Magn Reson

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This article presents a quantitative evaluation framework-incorporating a novel heterogeneous biomechanical model-for objectively comparing the accuracy of registration algorithms in dynamic contrast-enhanced (DCE) MRI of the breast; an evaluation of several algorithms using this framework; and several clinical examples where accurate registration significantly changes the shape of the enhancement curves associated with suspicious regions of interest (ROIs) identified by a radiologist. The experimental results demonstrate: (i) the efficacy of the evaluation framework; (ii) that a good registration algorithm can accurately recover the shapes of voxel enhancement curves from breast DCE-MRI data containing motion; (iii) that motion of as little as 1 mm can significantly change the shape of the mean enhancement curve for an ROI; and (iv) that accurate registration can significantly change the shape of enhancement curves estimated for small and large ROIs even when there is little or no visible evidence of motion. This suggests that all DCE-MRI breast data should be spatially aligned using a nonrigid registration algorithm before the analysis of contrast enhancement.

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Section: Registration Methodsmentioning

confidence: 99%

Evaluating the accuracy and impact of registration in dynamic contrast‐enhanced breast MRI

Hill¹,

Mehnert²,

Crozier³

et al. 2009

Concepts Magn Reson

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show abstract

“…Thus it becomes pertinent to develop an explicit expression for its evaluation.. Knowing that every polynomial function f is differentiable and that every polynomial function f of degree greater than one is at least twice differentiable, (Taha(1996)), we proceed withour development by considering the one dimensional problem as below. ( , , ) , 0,1…”

Section: Development Of An Explicit Expression For the Gradient Cmentioning

confidence: 99%

“…where w is a real Hilbert space and where F,N and B are matrices whose entries are defined as follows: F is a square matrix of order (k+1), with entries ij f given by 11 ,,…”

Section: Introductionmentioning

confidence: 99%

On The Extended Conjugate Gradient Method(ECGM) Algorithm For Discrete Optimal Control Problems And Some Of Its Features

Aderibigbe¹,

Apanapudor²

2014

IOSRJM

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“…Laplace criterion in case of decision-making under uncertainty is used (see Taha, 1976). This principle states that if qualitative information is emerging from an (unknown) quantitative data set, there is a priori and without additional information no reason to assume that any value has a higher probability.…”

Section: Regional Purchase Coefficientsmentioning

confidence: 99%