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British Journal of Radiology 74 (2001),520-528 © 2001 The British Institute of Radiology

Full paper

Demonstration of correlations between clinical and physical image quality measures in chest and lumbar spine screen–film radiography

M Sandborg, PhD1,, A Tingberg, PhD2, D R Dance, PhD3, B Lanhede, MSc4, A Almén, PhD2, G McVey, BSc, MSc3, P Sund, MSc4, S Kheddache, PhD, MD5, J Besjakov, MD, PhD6, S Mattsson, PhD2, L G Månsson, PhD4 and G Alm Carlsson, PhD1

1Department of Radiation Physics, Faculty of Health Sciences, Linköping University, SE 581 85 Linköping, Sweden, Departments of 2Radiation Physics and 6Diagnostic Radiology at Malmö, Lund University, Malmö University Hospital, SE 205 02 Malmö, Sweden, 3Joint Department of Physics, The Royal Marsden NHS Trust, Fulham Road, London SW3 6JJ, UK, and Departments of 4Radiation Physics and 5Radiology, Göteborg University, Sahlgrenska University Hospital, SE 413 45 Göteborg, Sweden


    Abstract
 Top
 Abstract
 Introduction
 Materials and methods
 Results and discussion
 Conclusions
 References
 
The ability to predict clinical image quality from physical measures is useful for optimization in diagnostic radiology. In this work, clinical and physical assessments of image quality are compared and correlations between the two are derived. Clinical assessment has been made by a group of expert radiologists who evaluated fulfilment of the European image criteria for chest and lumbar spine radiography using two scoring methods: image criteria score (ICS) and visual grading analysis score (VGAS). Physical image quality measures were calculated using a Monte Carlo simulation model of the complete imaging system. This model includes a voxelized male anatomy and was used to calculate contrast and signal-to-noise ratio of various important anatomical details and measures of dynamic range. Correlations between the physical image quality measures on the one hand and the ICS and VGAS on the other were sought. 16 chest and 4 lumbar spine imaging system configurations were compared in frontal projection. A statistically significant correlation with clinical image quality was found in chest posteroanterior radiography for the contrast of blood vessels in the retrocardiac area and a measure of useful dynamic range. In lumbar spine anteroposterior radiography, a similar significant correlation with clinical image quality was found between the contrast and signal-to-noise ratio of the trabecular structures in the L1–L5 vertebrae. The significant correlation shows that clinical image quality can, at least in some cases, be predicted from appropriate measures of physical image quality.


    Introduction
 Top
 Abstract
 Introduction
 Materials and methods
 Results and discussion
 Conclusions
 References
 
Both the International Commission on Radiological Protection [1] and the European medical exposure directive [2] recommend the optimization of image quality and patient dose in diagnostic radiology. Such optimization of the X-ray examination involves balancing clinical image quality against patient dose. Methods to measure individual patient absorbed doses are available [3], whereas methods to assess the quality of individual radiographic images are still under development. Methods to assess the quality of radiographic images often focus on the physical/technical aspects of the image [4], but methods that also include the radiologist in the assessment are required for a more realistic and complete treatment of the problem. Technical, physical, physiological and psychological elements are all involved in the transfer and interpretation of information by the radiologist. Consequently, the correlation between physical parameters of the imaging system and the relevant diagnostic information in the image is difficult to establish.

The image quality required will vary with the radiological task. For a selected number of routine radiographic projections, the European Commission has proposed sets of image criteria [5] that may be used for clinical image quality assessment. The image criteria are expressed as the visibility of characteristic features of imaged anatomical structures and are based on the normal anatomy. They apply to adult patients ofstandard size for the type of examination beingconsidered. An underlying assumption and philosophyof these criteria is that if the normal anatomy is faithfully reproduced in the image, then the pathological lesions will also be visualized.

When the optimization of radiographic imaging systems is based on a study of physical parameters, it is important that the correlation between these physical parameters and clinical measures of image quality be established. However, in previous work on chest radiography using anthropomorphic test phantoms [6], the ability to predict clinical image quality based on physical parameters has been questioned. The authors studied 24 chest imaging systems and found no correlation between image quality assessed in a visual grading analysis study and system parameters such as the relative amount of scattered radiation in the image plane, beam quality (tube potential), sensitivity of the image receptor (speed class) and focal spot size. They did not evaluate the optical density nor the dynamic range of the image. They considered only single parameters at a time and not the combined effect of the parameters on the overall contrast and signal-to-noise ratio (SNR) of important details. However, a positive correlation was found between the number of low contrast details detected in the image of a contrast detail phantom and the best ranked systems. Thisis to be expected, since the detectability of small,low contrast details depends on how contrast, sharpness and noise combine to yield the SNR.

The inability to correlate individual system parameters with measures of image quality may be related to the multivariate nature of the problem and the difficulty of obtaining a controlled experimental situation when measurements are made with systems in several centres. To demonstrate a correlation, it is essential to look at the effects of system parameters in combination, to use appropriate physical measures of image quality and to obtain patient images in a controlled way, preferably at the same centre. The objective of the present work, therefore, was to search for correlations between physical image quality measures and the corresponding assessments of image quality of patient radiographs by expert radiologists.

The work has been performed as part of a European study of image quality in chest and lumbar spine imaging. It brings together separate work on the assessment of clinical image quality and the development of computer simulation models. 16 imaging alternatives for a posteroanterior (PA) chest examination and 4 imaging alternatives for an anteroposterior (AP) lumbar spine examination were considered. Assessment of patient images was based on the European image criteria [5] and the results for chest and lumbar spine imaging systems are reported elsewhere [7, 8]. The Monte Carlo computer simulation model [9] incorporated a voxel phantom to simulate the patient, with superimposed anatomical details for the calculation of contrast and SNR. The patient absorbed doses are needed for optimization and can be found in previous work [7–10].


    Materials and methods
 Top
 Abstract
 Introduction
 Materials and methods
 Results and discussion
 Conclusions
 References
 
Imaging systems and patients
The chest imaging systems used in this study were obtained by varying the tube potential, screen–film system, antiscatter device and maximum optical density on the film. Parameters used were: tube potential (102 kV, 141 kV); screen–film system speed (Kodak Lanex 160, Lanex 320 screens); antiscatter device (grid, air gap); and maximum optical density (ODmax) on the film (1.3, 1.8), so that 16 chest imaging systems were formed. For lumbar spine imaging, two tube potentials (70 kV, 90 kV) and two screen–film system speeds (Kodak Lanex Regular Plus, Lanex Fast) were used to define four different imaging systems. Details of the systems are given in Table 1Go.


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Table 1. Imaging system parameters used in the evaluation

 
The chest examination was performed on volunteers (for which ethical approval was obtained), whereas the lumbar spine examination was performed on patients. The average height and mass of the two groups were 175.2 cm and 69.3 kg and 170.6 cm and 70.8 kg for the chest and lumbar spine subjects, respectively [10].

Measures of clinical image quality
The image criteria used to assess the quality of the patient images are listed in Table 2Go. Clinical trials were performed and images obtained with the different imaging techniques were assessed by seven European radiologists. In the analysis of lumbar spine radiographs, the seven original image criteria [5] were used. For chest radiography, the original image criteria were modified prior to the clinical trial [7]. Criteria devoted primarily to positioning of the patient were omitted as fulfilment of these criteria is likely to depend on the skill and training of the radiographer and not on the imaging system itself. In the revised criteria, the parenchyma, mediastinum and costopleural junction were separated and details to be visualized for each region were given (C5CH–C7CH). The criteria C1CH–C4CH are the same as in the original criteria.


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Table 2. Image criteria used in the analysis of the imaging systems

 
Two methods were used to score the images [7, 8]. The first was the image criteria score (ICS), defined as:Go


where Fi,c,o is the fulfilment of criterion (c) for image (i) and observer (o); I is the number of images assessed for each imaging system (I=15 for chest, I=10 for lumbar spine), C is the number of criteria (C=7) and O is the number of observers (O=7). If a criterion is fulfilled, Fi,c,o is 1, and if it is not Fi,c,o is 0. Since there were 16 chest and 4 lumbar spine imaging configurations, there were 240 chest and 40 lumbar spine images in total.

The second method of scoring was visual grading analysis. For this relative rating, each image was compared to a reference image. A patient image taken with 80 kV and 400 Lanex Regular Plus screen–film system was used as the reference image in the lumbar spine AP examination [8]. In the chest PA examination, the selection of reference image was more complicated. Prior to the collection of images, a statistical analysis of the necessary number of volunteers was performed [7]. The study was designed as an "incomplete but balanced block trial". 120 volunteers were required to test four technical factors (each under two conditions) and each volunteer was examined with 2 of the 16 techniques mentioned above. The observers viewed the radiographs in pairs. In the evaluation, the volunteers were then used as their own reference. If the structure in the image is reproduced much worse than in the reference image, it is given the score -2. If the structure is reproduced worse, equally, better or much better than in the reference image, it is given the score -1, 0, +1 or +2, respectively.

For a given system, a visual grading analysis score (VGAS) was calculated as: Go


where Gi,s,o is the relative grading for a particular image (i), structure (s) and observer (o); S is the number of structures compared; and I and O are as described above.

In the clinical trial for chest [7], it was found that the modified criteria gave better discrimination between different techniques than the original criteria. The visual grading analysis was performed only on the modified criteria C5CH–C7CH, whereas the original criteria C1CH–C4CH were assessed using both ICS and VGAS. It was therefore interesting to investigate whether the modified criteria show a more significant correlation with physical image quality than the original criteria. This was only possible for VGAS, since ICS values were not available for the modified criteria [7].

Measures of physical image quality
A Monte Carlo computer model of the complete imaging system was used to assess physical image quality. The model is an extension of previous work [11, 12]. It models the patient using an anthropomorphic 3-dimensional, segmented male anatomy (voxel phantom) originally developed elsewhere [13]. Appropriate anatomical details (Table 3Go) have been added to this phantom so that realistic estimates of the contrast and SNR of important details in the normal anatomy can be made. Estimates of the energy imparted per unit area to the image receptor at any point in the image plane were used to compute the optical density on the film by using the film's characteristic H&D curve. In this way it was possible to estimate the variations of the energy imparted to the screen–film system by scattered and primary photons and hence to assess the effects of the limited dynamic range of the screen–film system. The model takes specific account of the X-ray spectrum (anode material and angle, peak tube potential and ripple, and added filtration), antiscatter grid (strip frequency, lead strip width, grid ratio and material in interspaces and covers) or air gap, couch top or chest stand, and image receptor (cassette front, screen–film system and H&D curve). The computer program has been validated [9, 14] against measurements on phantoms and patients.


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Table 3. Properties of the anatomical details for which the difference in optical density ({Delta}OD) and signal-to-noise ratio were calculated in the two examinations. (The minimum and maximum calculated OD behind the detail for all the 16 simulated techniques are also listed for the chest examination)

 
The properties of the anatomical details included in the phantoms are listed in Table 3Go. These details were selected on the basis of the image criteria and the list of important image details published by the European Commission [5].

To calculate the contrast or difference in optical density, {Delta}OD, beside and behind a particular detail, the effects of film gradient ({gamma}) and imaging system unsharpness were considered. The film gradient was obtained from measurements of the H&D curve using the ISO standard [15]. The effect of unsharpness on {Delta}OD was calculated byconsidering the modulation transfer function (MTF) of receptor (screen), geometric (focal spotsize and magnification) and motion unsharpness [16].

SNR was calculated in two steps. First, the SNRQ due to quantum noise (index Q) only was calculated using the fluence of photons at the screen and the single event size distribution of energy imparted to the screen [17]. The SNRQ is based on the energy imparted per unit area to image elements beside and behind the detail and was calculated using the methodology in reference [11] and reference [18]. The SNRQ overestimates the actual SNR. Multiplicative correction factors were applied to SNRQ2 to include the effects of additional noise from light emission from the screen and from film granularity. Methods from the literature [19] were used to derive these correction factors [16].

In addition to {Delta}OD and SNR, a measure of the dynamic range of the image data was computed. Dynamic range is important for the following reason: even though the object contrast may be large, the contrast on the film may be low owing to the low film contrast (gradient) in some parts of the image, and thus {Delta}OD will be reduced. Our measure of dynamic range was therefore defined as the percentage of pixels in the computed image having an OD such that the gradient {gamma}(OD) exceeds a pre-set value, in our case 0.75 or 1.25 (chest) and 2.25 (lumbar spine). This physical image quality measure is thus an indication of how much of the image is properly exposed, i.e. with a "reasonable" film contrast, and is subsequently referred to as the PEF (properly exposed fraction). The pre-set values of the gradients were selected so that the PEF was sensitive to changes in imaging conditions (Table 1Go).

Statistical analysis
The software package Statistica® was used to compute the correlation coefficient r (the Pearson product-moment) between calculated values of {Delta}OD or SNR and ICS or VGAS. Calculated p-values were used to express the significance of the correlation (t-test). The correlation coefficient measures the magnitude, if any, of a linear causal relation. The null hypothesis is that there is no linear association between clinical and physical image quality. Correlations significant at p<0.10, p<0.05 and p<0.01 were identified. Correlations were sought between the physical image quality factors and the scores of the individual criteria as well as with the average scores when several or all criteria were used.


    Results and discussion
 Top
 Abstract
 Introduction
 Materials and methods
 Results and discussion
 Conclusions
 References
 
Chest
Table 4aGo lists the correlation coefficients r between the ICS for the individual criteria C1CH–C4CH as well as for the average ICS for all four criteria C1CH–C4CH and the physical image quality measures. Tables 4b, c show the corresponding correlation coefficients with ICS and VGAS for the individual criteria C5CH–C7CH and the average ICS and VGAS for the same criteria. A more significant correlation between clinical and physical image quality measures is found using the modified criteria C5CH–C7CH (Table 4bGo) than using the original criteria C1CH–C4CH (Table 4a) with ICS. Also, a more significant correlation with clinical image quality (using the modified criteria C5CH–C7CH) is found using the VGAS (Table 4cGo) than the ICS (Table 4b). Examples of the correlation between clinical and physical measures of image quality are given in Figures 1a–cGo at three levels of significance. In Figure 1aGo, the eight imaging systems with negative VGAS for the criteria C5CH–C7CH (hence inferior clinical image quality) and low {Delta}OD for the detail in the retrocardiac area are all systems that use the lower maximum optical density in the lung region (ODmax=1.3). This shows the importance of not underexposing the chest film. Figures 1b and 1cGo show the correlation between C3CH (ICS) and {Delta}OD of the costophrenic angle area, and between C5aCH (ICS) and {Delta}OD of the central right lung, respectively. These correlations are less significant.


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Table 4. Correlations between physical and clinical measures of image quality in the chest posteroanterior examination. The correlation between the difference in optical density ({Delta}OD) of the indicated details and the properly exposed fraction (PEF) and (a) the image criteria score (ICS) for criteria C1CH–C4CH, (b) the ICS for criteria C5CH–C7CH and (c) the visual grading analysis score (VGAS) for criteria C5CH–C7CH are presented. The last column shows the correlation between the sum of all the criteria scores and each of the physical measures

 


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Figure 1. Correlation between clinical and physical measures of image quality in the chest examination at three levels of significance. Correlations between (a) visual grading analysis score (VGAS) for criteria C5CH–C7CH and difference in optical density ({Delta}OD) for retrocardiac area (RCA) (r=0.95, p=0.00000001), (b) image criteria score (ICS) for criterion C3CH and {Delta}OD for costophrenic angle area (CPA) (r=0.60, p=0.013) and (c) ICS for criterion C5aCH and {Delta}OD central right lung (CRL) (r=0.48, p=0.060) are shown. The solid line is the linear regression line.

 
The three physical image quality measures that show the most significant correlation with ICS and VGAS are the contrast of blood vessels in the retrocardiac area, our measure of dynamic range (PEF {gamma}>1.25), and the contrast of calcifications in the right lung apex. This can be explained by considering the H&D curve. Both of these details are situated in areas where the OD is less than 1.0, hence on the toe of the H&D curve. The {Delta}OD is therefore much increased if the ODmax in the chest image is increased from 1.3 to 1.8. The {Delta}OD of details situated in areas where the OD is generally higher (OD>1.0), such as the central right lung and the left lung apex, does not show as significant a correlation with ICS and VGAS as details in regions with low optical density. A possible explanation for this is that the {Delta}OD of these details is already high enough and the criteria are therefore already fulfilled. For the same details, the {Delta}OD shows a more significant correlation with ICS and VGAS than the SNR. For example, there is no significant (p<0.05) correlation between ICS and SNR. However, there is a significant correlation between VGAS for criteria C5aCH and C5bCH and SNR, but this is not as significant as with {Delta}OD (p<0.01) for the same detail. This is an indication that clinical image quality is limited more by contrast than by noise in chest screen–film radiography.

The most significant correlation between clinical and physical image quality is found with criteria C5aCH and C5bCH (VGAS), whereas a poor correlation is found with C1CH (ICS). An explanation could be that the wording of C1CH is not as specific as the wording of C5aCH and C5bCH, and that it may be difficult to find a single physical measure that correlates to such a general criterion as C1CH.

No significant correlation was found between the physical parameters such as applied tube potential, screen–film speed and scatter–rejection technique on the one hand and ICS and VGAS on the other. However, a significant correlation was found between the maximum OD in the chest PA image (ODmax) and both ICS and VGAS. This indicates that the ODmax is the most important parameter of the four tested; the other three are of lesser importance. If the image is properly exposed (hence not underexposed, as with ODmax=1.3), the choice of screen speed, scatter–rejection technique and tube potential is not critical, or at least will not affect the image quality enough to generate significantly different ICS and VGAS in the clinical trial [7]. Similar conclusions have also been found on the basis of the computational model alone [14].

Contrary to earlier work [6], this work was able to demonstrate that clinical image quality can be predicted, provided that three conditions are satisfied. This may prove useful, as optimization based on clinical image quality alone can be difficult and time consuming. The conditions are as follows. First, it is important to characterize the imaging system in sufficient detail for the model calculations to agree with measurements on the imaging system on an absolute scale [18]. Second, the effect of the different radiographic technique factors (Table 1Go) must be acknowledged in combination and not used separately in attempts to correlate with clinical image quality. Finally, the effect of the different radiographic technique factors must be combined into appropriate measures of physical image quality (i.e. contrast and SNR) that correspond to the perception or visualization of relevant anatomical details, i.e. to specific diagnostic tasks.

Lumbar spine
Table 5Go shows the correlation coefficients r between the clinical image quality measures ICS and VGAS for different combinations of image criteria and calculated physical image quality measures {Delta}OD and SNR of the anatomical details and our measure of dynamic range, PEF. Examples of the correlation between clinical and physical measures of image quality are given in Figures 2a–cGo at three levels of significance.


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Table 5. Correlations between physical and clinical measures of image quality in the lumbar spine anteroposterior examination. Correlation between the image criteria score (ICS) or visual grading analysis score (VGAS) for criteria C1LS–C7LS [5] on the one hand and difference in optical density ({Delta}OD), signal-to-noise ratio (SNR) of indicated details and properly exposed fraction (PEF) on the other are presented. The first column shows the correlation between the sum of all the criteria scores and each of the physical measures

 


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Figure 2. The correlation between clinical and physical measures of image quality in the lumbar spine examination at three levels of significance. Correlations between (a) image criteria score (ICS) for criteria C1LS–C7LS and signal-to-noise ratio (SNR) L1D (r=1.00, p=0.0016), (b) visual grading analysis score (VGAS) for criterion C5LS and SNR L5D (r=0.98, p=0.022) and (c) VGAS for criteria C4LS–C5LS and properly exposed fraction (PEF, {gamma}>2.25) (r=0.90, p=0.099) are shown. The solid line is the linear regression line.

 
A positive correlation between clinical and physical measures of image quality was found for all tested comparisons. However, as expected, some correlations were more significant than others. Generally, a stronger correlation was found when all seven criteria were used in the ICS and VGAS evaluations than if only one (C4LS or C5LS) or two (C4LS and C5LS) criteria were used. Criteria C4LS and C5LS are of particular interest since they mention the anatomical details used in the model calculation of {Delta}OD and SNR (transverse processes (L1T–L5T) and trabecular details (L1D–L5D)). Typically, a stronger correlation was found with C5LS than with C4LS. Also, a stronger correlation with clinical image quality was found for the physical image quality measures that use the trabecular structure detail than those that use the transverse processes. The visibility of the transverse processes is also influenced by the stomach content that may interfere with the perception of the processes.

The {Delta}OD and SNR of the L1D–L5D trabecular details were the best predictors of clinical image quality amongst those tested. The percentage of the calculated image with a film gradient larger than 2.25 (PEF) was not as good as the {Delta}OD and SNR of particular details. This may indicate that, provided the spine is properly exposed, the surrounding soft tissue with significantly higher optical density, possibly overexposed, is not a problem.


    Conclusions
 Top
 Abstract
 Introduction
 Materials and methods
 Results and discussion
 Conclusions
 References
 
A statistically significant correlation exists between some physical image quality measures and clinical image quality as assessed by expert radiologists using the EU image criteria. For PA chest radiography, these physical measures are the contrast ({Delta}OD) of blood vessels in regions with comparatively low optical densities, such as the retrocardiac area. No significant correlation, however, was found between the SNR of details and clinical image quality. To quantify the effect of dynamic range on image quality, a new quantity, the properly exposed fraction, was introduced. The PEF shows a significant correlation with clinical image quality in chest imaging and demonstrates the importance of proper film exposure.

For AP lumbar spine radiography, the {Delta}OD and SNR of trabecular details in the L1–L5 vertebrae are the best predictors of clinical image quality, whereas the PEF is not as good.

The significant correlations found between clinical image quality and some physical image quality measures in this work are encouraging and show that, for the situations considered, the clinical image quality can be predicted provided the imaging conditions are known in detail and relevant measures of physical image quality are used.


    Acknowledgments
 
The authors would like to thank the following European expert radiologists, Dr C Gückel, Prof. M Laval-Jeantet, Prof M Maffessanti, Prof J-W Oestmann and Prof G Whitehouse, for many fruitful discussions and for evaluation of clinical image quality. Dr Francis R Verdun (Institute for Applied Radiophysics, Lausanne) is acknowledged for providing us with the measured film H&D curve.


    Footnotes
 
This work has been supported by grants from the Commission of the European Communities (FI4P CT950005), the Swedish Radiation Protection Institute, SSI (P1892.95, P1018.97, P1083.98, P1158.99), the Swedish Medical Research Council, MFR (K98-17X-12652-01A) and Swedish Foundation for Strategic Research (R98:006). Back

Received for publication June 30, 2000. Revision received December 18, 2000. Accepted for publication January 24, 2001.


    References
 Top
 Abstract
 Introduction
 Materials and methods
 Results and discussion
 Conclusions
 References
 

  1. International Commission on Radiological Protection. Radiological protection and safety in medicine, ICRP Publication 73. Annals ICRP 26 Oxford: Pergamon, 1996.
  2. EU 1997. Council Directive 97/43/Euratom of 30 June 1997 on health protection of individuals against the dangers of ionizing radiation in relation to medical exposure, and repealing Directive 84/466/Euratom. Official Journal of the European Communities L180, 40, 22.
  3. Kwan-Hong NG, Bradley DA, Warren-Forward HM, editors. Subject dose in radiological imaging. Amsterdam: Elsevier, 1998.
  4. International Commission on Radiation Units. Medical imaging—the assessment of image quality, ICRU Report 54. Bethesda, MD: ICRU Publications, 1995.
  5. European Commission. CEC quality criteria for diagnostic radiographic images and patient exposure trial, EUR 12952. Brussels: European Commission, 1990.
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  7. Lanhede B, Tingberg A, Månsson LG, Kheddache S, Widell M, Björneld L, et al. The influence of different technique factors on image quality for chest radiographs: application of the recent CEC image quality criteria. Radiat Prot Dosim 2000;90:203–6.[Abstract]
  8. Almén A, Tingberg A, Mattsson S, Besjakov J, Kheddache S, Lanhede L, et al. The influence of different technique factors on image quality of lumbar spine radiographs as evaluated by established CEC image criteria. Br J Radiol 2000;73:1192–9.[Abstract]
  9. Dance DR, McVey G, Sandborg M, Persliden J, Alm Carlsson G. Calibration and validation of a voxel phantom for use in the Monte Carlo modelling and optimisation of X-ray imaging systems. SPIE Proceedings 1999;3659:548–59.
  10. Zankl M, Panzer W, Herrmann C. Calculation of patient doses using a human voxel phantom of variable diameter. Radiat Prot Dosim 2000;90:155–8.[Abstract]
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  15. International Organization for Standardization. Photography—sensitometry of screen–film systems for medical radiography—Part 1: Determination of sensitometric curve shape, speed, and average gradient, ISO 9236. Geneva: International Organization for Standardization, 1996.
  16. Sandborg M, Dance DR, Alm Carlsson G. Implementation of unsharpness and noise into a model of the imaging system: applications to chestand lumbar spine imaging. ISRN ULI-RAD-R-90-SE, http://huweb.hu.liu.se/inst/imv/radiofysik/publi/reports.html#99
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