Estimation of Breast Prosthesis Volume by the Cavalieri Principle Using Magnetic Resonance Images

Akbaş, Hayati; Şahin, Bünyamin; Eroğlu, Lütfi; Odacı, Ersan; Bilgiç, Sait; Kaplan, Süleyman; Uzun, Ahmet; Ergur, Hayati; Bek, Yüksel

doi:10.1007/s00266-004-0022-8

Cited by 43 publications

(24 citation statements)

References 28 publications

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“…A square grid test system with d ¼ 0.4 cm between test points was used to estimate the sectioned surface area of the slices. To estimate ICV, the modified formula used for volume estimations of radiological images was applied (Akbas et al, 2004;Bilgic et al, 2005;Sahin and Ergur, 2006):…”

Section: Point-counting Methodsmentioning

confidence: 99%

Comparison of four methods for the estimation of intracranial volume: A gold standard study

Şahin¹,

Acer²,

Sönmez³

et al. 2007

Clinical Anatomy

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Investigators can infer how much reduction in volume has occurred since brain volume was at its peak, by combining measures of brain volume with measures of intracranial volume (ICV). Several methodologies have been proposed to asses the ICV. However, we have not seen a gold-standard study evaluating the results of the methodologies for the assessment of ICV. In the present study, the actual intracranial volume of 20 dry skulls was measured using the water-filling method, using this as a gold standard. Anthropometry, cephalometry, point-counting, and planimetry techniques were applied to the same skulls to estimate the ICV. Anthropometric and cephalometric measurements were carried out directly on skulls and roentgenograms, respectively. Consecutive computed tomography sections at a thickness of 10 mm were used to estimate the ICV of the skulls by means of the point-counting and planimetry methods. The mean (+/-SD) of the actual ICV measured by the water-filling method was 1,262.0 +/- 160.4 cm(3) (1,389.5 +/- 96.5 cm(3) for males and 1,134.5 +/- 94.3 cm(3) for females, respectively). Our results showed that the estimated values obtained by all four methods differed from the actual volumes of the skulls (P < 0.05). The data obtained by anthropometry resulted in overestimation. However, cephalometry, point-counting, and planimetry methods produced underestimation. After calibration, there were no significant differences between the actual volumes and the results of the four methods (P > 0.05). While the anthropometric method is easy and quick to apply, its result may deviate from the actual values. The optimized stereological techniques of point-counting and planimetry methods may provide unbiased ICV results since they take the third dimension of the structures into account.

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Section: Point-counting Methodsmentioning

confidence: 99%

Comparison of four methods for the estimation of intracranial volume: A gold standard study

Şahin¹,

Acer²,

Sönmez³

et al. 2007

Clinical Anatomy

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“…The works in Ref. [1][2][3][4][5][6][7][8][9][10][11]13,14,[16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31] used the covariogram model for the different measurement functions. We aim to show the performance of the covariogram model in Equation (12) for the different measurement functions.…”

Section: Approximate Variance Ofqmentioning

confidence: 99%

Propositions for Confidence Interval in Systematic Sampling on Real Line

Çankaya

2016

Entropy

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Systematic sampling is used as a method to get the quantitative results from tissues and radiological images. Systematic sampling on a real line (R) is a very attractive method within which biomedical imaging is consulted by practitioners. For the systematic sampling on R, the measurement function (MF) occurs by slicing the three-dimensional object equidistant systematically. The currently-used covariogram model in variance approximation is tested for the different measurement functions in a class to see the performance on the variance estimation of systematically-sampled R. An exact calculation method is proposed to calculate the constant λ(q, N) of the confidence interval in the systematic sampling. The exact value of constant λ(q, N) is examined for the different measurement functions, as well. As a result, it is observed from the simulation that the proposed MF should be used to check the performances of the variance approximation and the constant λ(q, N). Synthetic data can support the results of real data.

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“…1). A square grid test system with d= 0.20 and 0.25 cm between test points i.e., 0.04 and 0.0625 cm 2 representing area per point, were used to estimate the sectioned surface area of the slices. The points hitting the eyeball and orbit sectioned surface area were counted for each section and the VE and VO were estimated using the modifi ed formula for volume estimations of radiological images (2,3,6,(7)(8)(9).…”

Section: Point-counting Methodsmentioning

confidence: 99%

“…Using this method, volume and surface area estimates may be generated in a robust, reliable and time-effi cient manner based on computed tomography (CT) scanning and magnetic resonance (MR) images (1,2).…”

Section: Introductionmentioning

confidence: 99%

Estimation Of The Eyeball And Orbital Volume Using The Cavalieri Principle On Computed Tomography Images

Acer¹,

Demir²,

Ucar³

et al. 2010

TUTFD

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Estimation of Breast Prosthesis Volume by the Cavalieri Principle Using Magnetic Resonance Images

Cited by 43 publications

References 28 publications

Comparison of four methods for the estimation of intracranial volume: A gold standard study

Comparison of four methods for the estimation of intracranial volume: A gold standard study

Propositions for Confidence Interval in Systematic Sampling on Real Line

Estimation Of The Eyeball And Orbital Volume Using The Cavalieri Principle On Computed Tomography Images

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