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Published online before print December 2, 2002, 10.1148/radiol.2261011708
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(Radiology 2003;226:256-262.)
© RSNA, 2002


Technical Developments

Lung Micronodules: Automated Method for Detection at Thin-Section CT—Initial Experience1

Matthew S. Brown, PhD, Jonathan G. Goldin, MD, PhD, Robert D. Suh, MD, Michael F. McNitt-Gray, PhD, James W. Sayre, PhD and Denise R. Aberle, MD

1 From the Department of Radiology, David Geffen School of Medicine at UCLA, 10833 Le Conte Ave, Los Angeles, CA 90095-1721. Received October 18, 2001; revision requested January 11, 2002; revision received March 11; accepted May 7, 2002. Address correspondence to M.S.B. (e-mail: mbrown@mednet.ucla.edu).


    ABSTRACT
 TOP
 ABSTRACT
 INTRODUCTION
 Materials and Methods
 Results
 Discussion
 APPENDIX
 REFERENCES
 
An automated system was developed for detecting lung micronodules on thin-section computed tomographic images and was applied to data from 15 subjects with 77 lung nodules. The automated system, without user interaction, achieved a sensitivity of 100% for nodules (>3 mm in diameter) and 70% for micronodules (<=3 mm). With the same images, a radiologist detected nodules and micronodules with sensitivities of 91% and 51%, respectively, without system input. With assistance from the automated system, these sensitivities increased to 95% and 74%, respectively. Preliminary results indicate that the automated system considerably improved the radiologist’s performance in micronodule detection.

© RSNA, 2002

Index terms: Computed tomography (CT), computer programs • Computed tomography (CT), image processing • Computers, diagnostic aid • Lung, nodule, 60.281


    INTRODUCTION
 TOP
 ABSTRACT
 INTRODUCTION
 Materials and Methods
 Results
 Discussion
 APPENDIX
 REFERENCES
 
Lung cancer is the leading cause of cancer death among men and women in the United States and is responsible for more deaths than is the combined mortality from breast, prostate, and colon cancers. The overall 5-year survival rate with lung cancer is roughly 14% (1); however, patients with early-stage disease who undergo curative resection have 5-year survival rates of 40%–70% (2,3). Improved survival with early detection of non–small cell lung cancer is the rationale for revisiting lung cancer screening with computed tomography (CT) (4,5).

The goal of lung cancer screening with CT is the detection of small cancers, presumably when they are biologically early in their evolution and amenable to surgical cure. CT has become the focus of lung cancer screening strategies because it combines excellent contrast resolution with tomographic perspective, both of which enhance the detection of lung nodules while maintaining reasonably low radiation exposure. CT has been shown to be more sensitive than projectional radiography in the detection of lung nodules, particularly small nodules (5,6,7). The focus of the present study was detection of micronodules (<3 mm in diameter) to facilitate early diagnosis of lung cancer.

The original low-dose CT screening protocols for lung cancer were based on single-section helical CT technology, which generated 10-mm-thick images. The commercial availability of multi–detector row CT has made the acquisition of data sets with high spatial resolution practical, which allows consistent detection of micronodules. With multi–detector row CT, the chest can be surveyed in one suspended breath hold with high in-plane resolution, narrow collimation, and narrow reconstruction intervals. Nearly isotropic high-resolution data sets consistently render the fine complex bronchovascular anatomy of the peripheral lung in three dimensions, which captures the continuity of the arborizing of structures within and through the transverse imaging plane. This degree of anatomic precision is necessary if computerized systems are to discriminate accurately between normally branching anatomy and micronodular lung cancers. However, anatomic detail is achieved at the expense of large data volumes (7,8). Interpretation times for large thin-section data sets would be impractical if CT screening for lung cancer becomes routine; therefore, development of computer-assisted nodule detection schemes is a prerequisite.

We developed a computer system for automatic detection of lung micronodules in helical thin-section CT chest data sets. Basic CT segmentation methods, which use primarily attenuation thresholding, are insufficient for nodule detection because nodules and vascular structures have similar attenuation at CT. The system described herein augments conventional image processing tools by introducing anatomic knowledge relating to the expected size, shape, and location of nodules and lung anatomy to guide the segmentation process. Previously developed automated lung nodule detection systems were designed for use with thick-section CT data and were tested primarily with nodules larger than 5 mm (9,10). The system described herein represents a shift from thick- to thin-section CT and from nodule to micronodule detection.

The purpose of this study was to evaluate nodule and micronodule detection with a radiologist alone, the automated detection system alone, and the radiologist with the computer-aided system.


    Materials and Methods
 TOP
 ABSTRACT
 INTRODUCTION
 Materials and Methods
 Results
 Discussion
 APPENDIX
 REFERENCES
 
Image Data Collection
Thin-section CT data sets were collected in 29 subjects (13 men and 16 women; age range, 49–86 years; mean age, 66 years) who underwent scanning as part of normal clinical practice with standard imaging protocols. Written informed consent was obtained for release of image data in accordance with guidelines of our institutional review board. Subjects were included in whom thin-section CT had been performed through regions of known or suspected lung nodules during the 6 months from May through October 2001.

According to clinical practice, individual volumetric images were acquired (HiSpeed CT/i; GE Medical Systems, Milwaukee, Wis) with technical parameters of 120 kV, 60 mA, 1-mm beam collimation, 2-mm table incrementation, 0.8 seconds per revolution, and reconstruction interval of 0.5–1.0 mm. Images were limited typically to a 20-mm longitudinal extent. Thin-section CT images were used since they approximate the technical factors that can be applied at multi–detector row CT in one breath hold.

Nodule Detection System
The nodule detection system automatically identifies and highlights lung nodules in volumetric CT data sets for confirmation or rejection by a user. The system recognizes anatomic landmarks and lung nodules with a two-step process. Image segmentation is performed to subdivide the volumetric image data into three-dimensional regions of interest. Then, object recognition is performed in which the regions are labeled anatomically. Simple attenuation thresholding alone is insufficient for this task because of the similar attenuation properties of nodules, blood vessels, and soft-tissue anatomy. Region growing on the basis of only attenuation does not allow discrimination between them; therefore, the nodule detection system makes use of additional knowledge of anatomy to recognize objects in an image.

The nodule detection system uses three-dimensional segmentation involving attenuation thresholding, region growing (11), and mathematical morphology (12) to identify regions of interest in a given CT data set. The system then labels these regions on the basis of a model of lung nodules and relevant intrathoracic anatomy (13,14). The model describes the expected size, shape, topology, and x-ray attenuation of these structures. In addition to lung nodules, the model describes blood vessels and distinguishes between the two, which is critical in nodule identification. To accomplish this task, three-dimensional shape information is important since nodules tend to be approximately spherical, whereas bronchovascular structures are more tubular. The description in the model is flexible enough, however, to provide automatic discrimination of both regular and irregular (spiculated) nodules from bronchovascular anatomy. The system also uses regionally varying size information since vessels decrease in size toward the lung periphery, while nodules may be larger in cross section and volume.

From the 29 data sets collected, a subset of 14 was selected at random for use in model development. These cases were used to develop the descriptions and set parameters contained in the model. The remaining 15 image data sets were kept hidden from the system until the evaluation phase.

When the system is applied to a CT data set, it performs automated nodule detection, and regions labeled as nodules are highlighted on the images for review by a user (Figs. 13). Further details of the modeling, segmentation, and object recognition techniques are provided in the Appendix.



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Figure 1. Schematic shows simplified overview of the a priori anatomic model, which contains nodes that describe the lungs and nodules within the lungs. The arcs (arrows) between the nodes represent structural relationships between the respective anatomic entities.

 


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Figure 2. Schematic shows fuzzy membership function that describes the possible range of values for the sphericity of a nodule.

 


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Figure 3A. Automated segmentation and nodule detection results. A, Original transverse thin-section CT image. B, Transverse lung (shaded). C, Peripheral lung (shaded). D, Opacities within the lung parenchyma (gray). E, Two nodules (arrows) detected by the system that were confirmed by radiologists.

 


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Figure 3B. Automated segmentation and nodule detection results. A, Original transverse thin-section CT image. B, Transverse lung (shaded). C, Peripheral lung (shaded). D, Opacities within the lung parenchyma (gray). E, Two nodules (arrows) detected by the system that were confirmed by radiologists.

 


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Figure 3C. Automated segmentation and nodule detection results. A, Original transverse thin-section CT image. B, Transverse lung (shaded). C, Peripheral lung (shaded). D, Opacities within the lung parenchyma (gray). E, Two nodules (arrows) detected by the system that were confirmed by radiologists.

 


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Figure 3D. Automated segmentation and nodule detection results. A, Original transverse thin-section CT image. B, Transverse lung (shaded). C, Peripheral lung (shaded). D, Opacities within the lung parenchyma (gray). E, Two nodules (arrows) detected by the system that were confirmed by radiologists.

 


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Figure 3E. Automated segmentation and nodule detection results. A, Original transverse thin-section CT image. B, Transverse lung (shaded). C, Peripheral lung (shaded). D, Opacities within the lung parenchyma (gray). E, Two nodules (arrows) detected by the system that were confirmed by radiologists.

 
Measuring System and Reader Performance
For all 29 (14 developmental and 15 evaluation) CT data sets, a "truth committee" of three thoracic radiologists (J.G.G., D.R.A.), each with more than 10 years of experience, established truth as to the number, size, and location of nodules. Two of these radiologists served as primary readers by initially reading each study independently and then reviewing their findings jointly and reaching consensus. To resolve interpretation discrepancies, each radiologist was shown lesions that were not selected initially but were selected by the other radiologist, and they were asked for confirmation. For any such lesions that were not confirmed, a joint review session was held to reach consensus, with adjudication by the third radiologist when agreement could not be reached. For purposes of this study, nodules were defined as focal lung opacities that occurred in aerated regions of lung and ranged in diameter from 1 to 10 mm. None of the nodules were situated within areas of complex lung disease. Nodules could be sharply or poorly marginated, as long as approximate diameter measurements were possible. For purposes of this analysis, nodules were stratified by size into two categories: micronodules (<=3 mm) and nodules (>3 mm).

The nodule detection system was applied to the 15 evaluation CT data sets (Ultra 10 workstation [with UNIX operating system]; Sun Microsystems, Palo Alto, Calif). To assess the performance of the automated nodule detection system by itself, the data sets were input to the system. The system segmented anatomic structures and identified candidate nodules. These candidate nodules were then compared on the basis of location, with the nodules identified by the truth committee.

A second experiment was performed to assess the usefulness of the system as a diagnostic adjunct to the visual review of data sets. The same 15 evaluation data sets were reviewed in blinded fashion by a thoracic radiologist (R.D.S.) with 6 years of experience who was asked to identify the number and location of nodules. This radiologist was not part of the truth committee and did not perform the original interpretation of the images. The images were reviewed with two sequential conditions. The first condition involved visual review of the images in a soft-copy environment. The second condition was that the original images were viewable and candidate nodules were highlighted by the system (both true- and false-positive nodules). Differences in performance were measured between the two reading conditions. In this initial trial, there was no effort made to determine differences in the time required for interpretation with and that without use of the automated system.

Statistical Evaluation
The performance of the system was evaluated in terms of sensitivity for nodule detection and the number of false-positive findings per case. These measures were also used to compare the performance of the radiologist with use of the two reading conditions. Results were stratified on the basis of nodule size into micronodules (<3 mm) and nodules (>3 mm).


    Results
 TOP
 ABSTRACT
 INTRODUCTION
 Materials and Methods
 Results
 Discussion
 APPENDIX
 REFERENCES
 
Images from 15 subjects that were not part of the development set were used to test the system. Among these images, the truth committee determined that there were collectively 57 micronodules smaller than 3 mm (mean diameter, 2.2 mm) and 22 nodules larger than 3 mm (mean diameter, 6.3 mm). Of these 79 nodules, 10 necessitated a joint review session by the two radiologists to reach consensus.

The automated system, without any user interaction, achieved a sensitivity of 100% (22 of 22) for nodules and 70% (40 of 57) for micronodules, with an average of 15 false-positive findings per subject data set (total, 219 false-positive findings). These false-positive findings came from the following main sources: (a) 52 from vessels (both blood vessels and airway walls) that were truncated in the longitudinal (z-axis) direction owing to the limited thin-section sequences; (b) 45 from blood vessels (not truncated); (c) 27 from airway walls (not truncated); (d) 18 from areas of parenchymal disease that resulted in ground-glass, reticular, or airspace attenuation; and (e) 77 from other sources.

The radiologist independently (without system input) detected nodules with a sensitivity of 91% (20 of 22) and micronodules with a sensitivity of 51% (29 of 57), with 0.3 false-positive finding per data set.

With the additional input provided by the automated system, sensitivity for the radiologist increased to 95% (21 of 22) of nodules and 74% (42 of 57) of micronodules. The number of false-positive nodules remained unchanged. These results are summarized in the Table. Figure 4, A and B illustrate two examples in which the automated system detected micronodules that were initially missed by the radiologist, who used visual inspection.


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Performance of Automated System Alone in Nodule Detection (no human interaction) and Improvements in Reader Performance with Assistance from System

 


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Figure 4. Transverse CT images with targeted field of view show nodules detected automatically by the system. A, Micronodule (arrow) was initially missed by the radiologist, who used visual inspection, but it was identified and confirmed by that radiologist when system results were made available. B, Larger nodule (lower arrow) was detected by the radiologist without the system, but the micronodule (upper arrow) was initially missed until the system results were available. C, D, Nodules (arrows [confirmed by the truth committee]) were detected by the system but were rejected by the radiologist. It is particularly difficult to distinguish nodules from vessels on a two-dimensional image (as shown here), but the system performs segmentation and object recognition in three dimensions (with use of information from adjacent sections).

 
The increases in sensitivity were a result of one nodule and 13 micronodules (determined by the truth committee) that were initially missed by the radiologist but were detected when the automated system output (candidate nodules) was presented. There were an additional nodule and 10 micronodules (determined by the truth committee) that were rejected by the radiologist, even though they were detected and highlighted by the automated system (Fig 4, C and D). These nodules were considered false-negative findings in the analysis of reader performance.


    Discussion
 TOP
 ABSTRACT
 INTRODUCTION
 Materials and Methods
 Results
 Discussion
 APPENDIX
 REFERENCES
 
Nodule detection is one of the more challenging, albeit common, detection tasks in medical imaging. Nodules missed at CT may be caused by factors such as small size, low relative contrast, or location within an area of complex anatomy such as the hilum. Reader fatigue, distraction, and satisfaction of search from the observation of other pathologic conditions are other recognized causes of missed nodules. Although double readings reduce the number of missed nodules, routine double reading is unrealistic in clinical practice. Computerized nodule detection schemes have been shown to increase substantially diagnostic accuracy in projectional chest imaging (15,16). The demand for computer-aided diagnosis for lung nodule detection can be expected to increase as we migrate to increasingly higher levels of longitudinal spatial resolution and larger data sets with multi–detector row CT. The single-section CT protocol used in the present study approximates that with commercially available multi–detector row CT; however, new scanners will allow even finer effective section thicknesses. Thinner sections and overlapping reconstruction intervals improve the longitudinal resolution but require large data sets (700 or more images) to be generated. Interpretation times become impractical with screening examinations of such size and make computer-assisted nodule detection schemes a prerequisite. Given the flexibility of image reconstruction with multi–detector row CT, there is a need to investigate ways in which different reconstruction data sets can be used to satisfy both human and computer image data requirements for optimal interpretation performance in nodule detection.

A small number of knowledge-based schemes are under development to automate lung nodule detection at CT, and results are promising (9,10,17,18). These systems have been developed for thick-section (5–10 mm) imaging and have been designed and tested with lesions that are typically 1 cm or more in diameter (<5 mm, volume averaging from the thick sections makes automated detection difficult). These systems have been tested with limited numbers of cases and have achieved sensitivities of approximately 90%, averaging roughly 20 false-positive findings per case. Although these systems are promising, the logical extension of their use to include the detection of micronodules smaller than 3 mm in diameter is challenging, particularly in terms of the increased number of false-positive findings caused by small bronchovascular anatomy. The system used in the present study is particularly well suited to the handling of complexities associated with the distinction of micronodules from fine bronchovascular structures since the model can readily be extended to describe detailed anatomy. The modular system architecture also allows additional segmentation algorithms to be incorporated as required.

The results of the present study are preliminary since the system is still under development. It was tested with a relatively small number of cases with use of data from single-section scanners with which only limited thin-section sequences were performed through regions of suspected disease. Also, "truth" was determined visually by a committee, rather than on the basis of pathologic findings. Moreover, the effect on reader performance was assessed for only one reader. However, these results suggest that computer programs may favorably affect micronodule detection at CT. The results are clinically important in terms of motivating continued research in this area and in lung micronodule detection in particular.

The results suggest that the radiologist was less sensitive to micronodules than were the truth committee members when they evaluated images independently. There is the potential for high interobserver variability because readers were asked to mark nodules without ascribing clinical importance, which is not their usual practice. Since the truth committee members performed consensus reading during the course of the study, they had the opportunity to learn from each other and become consistent in terms of which opacities they called nodules. The radiologist did not receive any guidance from the truth committee and also had less experience as a thoracic radiologist. The results suggest that it is difficult even for experienced radiologists to agree whether an opacity should be considered a nodule. Criteria for labeling opacities as nodules are evolving in ongoing studies of lung cancer screening and computer-aided diagnosis.

The system achieved reasonable detection accuracy despite a crude anatomic model, a success that we ascribe in part to the richness of three-dimensional characterization achieved with thin-section image data. These major sources of false-positive nodules were presented in Results.

Truncated vessels.—Vessels that were truncated in the z axis owing to the limited thin-section sequences had nodulelike shape properties. This source of error can be expected to decrease with data sets that span the entire thorax.

Fragmented blood vessels.—Blood vessels that were fragmented as a result of volume averaging were segmented into regions that appeared like small nodules. This source of error will require the development of more sophisticated segmentation algorithms that rely less on fixed attenuation thresholds, which fail when the attenuation decreases below the threshold as a result of volume averaging. For example, multiple thresholds (18) or thresholds that vary adaptively as a vessel is tracked could be used.

Fragmented airway walls.—Some airway walls were fragmented as a result of volume averaging. A common source of misclassification by the system was the walls of the segmental bronchi. The model contained descriptions of pulmonary vessels but did not at the time contain descriptions of the airways. Part of the strength of the system is the ability to visualize system errors relative to existing anatomic rules and to add additional rules that circumvent repeated errors of misclassification. We expect to reduce misclassification of bronchial wall anatomy in subsequent system revisions.

Parenchymal disease.—Areas of parenchymal disease resulted in ground-glass, reticular, or airspace attenuation. Methods are under development to identify automatically various types of parenchymal disease (19,20). Because we are using an anatomic region-based approach to nodule detection, we may be able to alter the criteria for detecting a nodule within a region of complicated parenchymal disease to lessen the number of false-positive findings.

Reduction of the number of false-positive findings will be a focus of ongoing developments since full-chest multi–detector row CT will result in many more image sections than those in the data sets used in the present study. We do not expect a proportional increase in the number of false-positive findings, however, because multi–detector row CT will provide a smaller effective section thickness and less partial volume effect.

As multi–detector row systems make thin-section CT more routine in the thorax, more lung micronodules will be visible, either prospectively or retrospectively. An automated detection system has the potential to increase the number of prospective detections of small lesions, and a size threshold for reporting lesions may be required. The lower boundary of lesion size to be reported will depend on what is found to be clinically important in lung cancer screening trials currently underway. In fact, systems that assist in the detection of early micronodular cancers may be necessary to fully answer questions about the utility of lung cancer screening (eg, to determine whether changes in size at the subcentimeter level translate into predictable differences in the biologic behavior of lung cancer).

The majority of subjects included in the present study had lung, renal cell, and colon cancer with metastatic disease. Although an important potential application of this system is in screening for primary lung cancer, the nodules included in this preliminary test have similar appearance in terms of the characteristics used by the system for detection. The increased number of nodules in subjects with metastatic disease does not make the detection task easier for the system.

The results of this preliminary study suggest that a model-based system can detect lung nodules with high sensitivity and may also be reasonably accurate for the detection of small micronodules. The system can provide interpretation assistance to a radiologist reviewing large CT data sets. We are continuing to refine our model of thoracic anatomy and lung nodules to reduce misclassification of thoracic anatomy for nodules. Data collection is underway for a larger database of cases from a multi–detector row CT scanner that will provide high-resolution data sets through the entire thorax and enable more comprehensive development and evaluation of the automated nodule detection system.


    APPENDIX
 TOP
 ABSTRACT
 INTRODUCTION
 Materials and Methods
 Results
 Discussion
 APPENDIX
 REFERENCES
 
The nodule detection system is based on a generic framework for model-based segmentation of CT images (13,21). This framework allows domain knowledge, in the form of a parametric model of anatomy, to guide image segmentation (subdivision of the image into regions) and object recognition (anatomic labeling of regions). The expected size, shape, topology, and x-ray attenuation of lung nodules and relevant intrathoracic anatomy are stored as features in the model. Three-dimensional segmentation involving attenuation thresholding, region growing, and mathematical morphology are used to identify regions of interest in a given CT data set. Segmented regions are then labeled automatically by matching them to anatomic objects in the model. This involves the calculation of numeric feature values for each image region and comparison with expected values defined in the model by using fuzzy logic. Segmentation proceeds hierarchically, with the chest wall, mediastinum, lungs, lung opacities (nodules and bronchovascular structures), and nodules located sequentially. Regions labeled as nodules are presented to the user of the system for confirmation.

Anatomic Modeling
The model describes anatomic-pathologic structures, such as lungs, pulmonary vessels, and nodules. The model is represented by using a semantic network (22). Each node in the model consists of an anatomic name and a set of features (described later). The arcs in the network represent structural relationships (also features) between anatomic objects. A simplified overview of the model is shown in Figure 1.

Each node contains the expected values for the following key features of an object: (a) x-ray attenuation range in Hounsfield units; (b) relative location based on relational features in the semantic network (eg, "part of," "inside"); (c) volume (v), in cubic millimeters, calculated for a segmented object, represented by a set of voxels, S, by summing the volume of each voxel contained in S:

where x_voxel_spacing (p) is the spacing between adjacent voxels in the x direction at point p, with similar spacing definitions in the y and z directions; (d) shape, as described with a "sphericity" parameter, defined for a set of voxels, S, as follows:

where v is the volume of S, r is 0.5 x (maximum x, y, or z dimension of bounding box of S), which is

where max is maximum. If an object is perfectly spherical, the sphericity feature will have a maximum value of 100. The more elongated the object, the lower the sphericity value. Three-dimensional shape information (sphericity feature) is important to distinguish between nodules and bronchovascular anatomy, since nodules tend to be approximately spherical and bronchovascular structures more tubular.

To allow for anatomic variations, each numeric feature parameter has an allowable range of values represented with a fuzzy set (23). The fuzzy set provides a membership function that assigns a score between 0.0 and 1.0 to each possible feature value. A score of 0.0 indicates nonmembership in the fuzzy set of possible values, a score of 1.0 represents full membership, and a value in between indicates a degree of partial membership. Figure 2 shows an example of a fuzzy set that describes the possible range of values for the sphericity of a nodule. The membership function has value 0.0 for sphericity values of less than 5, since low sphericity is considered likely to indicate a blood vessel rather than a nodule. Conversely, sphericity values higher than 25 are given a membership score of 1.0, while bearing in mind that nodules can be spiculated (ie, not particularly spherical). The fuzzy sets for each feature in the model were determined empirically by reviewing a development set of 14 cases (selected at random from the available set of 29 cases) with the supervision of thoracic radiologists. A small development set such as this does not cover the range of possible anatomic and pathologic variations. It merely provides assistance in the process of extracting and quantifying the knowledge of the participating radiologists.

Detection of Lung Regions
The model divides the aerated lung into transverse and peripheral regions. The peripheral region is a 20-mm-wide strip around the outside of the lungs. Since vessels are smaller in the lung periphery, the system can be more aggressive in detecting nodules without incurring many false-positive findings.

Mathematical morphology (12) is used to compute transverse and peripheral lung regions. The transverse portion of the lung is determined on the basis of morphologic erosion of the lungs, as shown by the part of (eroded) relationship in Figure 1. The Peripheral Lung is then part of the Lung and not part of the Transverse Lung. Segmentation of transverse and peripheral lung regions is shown in Figure 3.

Nodule Detection
Nodules are detected from among the opacities (nodules and bronchovascular structures), modeled as inside the lung. Morphologic closing is applied to the lung so that nodules that contact the chest wall are enclosed. Transverse and peripheral nodules are modeled as part of the opacities (Fig 3, D). Since these nodules may be in contact with blood vessels, morphologic opening is applied to the opacities to separate nodule candidates from such vessels. A small structuring element is used for peripheral nodules since vessels are small in the periphery; a larger structuring element is used in transverse regions to allow nodules to be separated from large bronchovascular structures near the hilum. The segmentation process generates multiple image primitives (regions) that become candidates for matching to transverse or peripheral nodules as defined in the model (Fig 1).

The model describes opacities inside the lungs that are typically blood vessels or nodules; distinction between these is critical in nodule identification. To accomplish this, three-dimensional shape information (sphericity feature) is important since nodules are approximately spherical and bronchovascular structures are more tubular. Fuzzy logic is used to match opacities to either nodules or vessels. A confidence score, Ca, is calculated for each candidate, a, as follows:

where min is minimum, F is the set of features that describe nodules, V{alpha}(a) is a function that calculates the value of the feature {alpha} (eg, sphericity or volume) for a given image region (nodule candidate), and M{alpha} is the fuzzy membership function for the feature defined in the model (Fig 2). This fuzzy membership function, M{alpha}, generates a confidence score in the range of 0.0–1.0. Regions matched to the Nodule object in the model with overall confidence of C > 0.9 were presented to the user as nodule candidates for confirmation or rejection.


    FOOTNOTES
 
Author contributions: Guarantors of integrity of entire study, M.S.B., D.R.A.; study concepts, all authors; study design, M.S.B., J.G.G., R.D.S., M.F.M.G., D.R.A.; literature research, M.S.B., J.G.G., R.D.S., D.R.A.; experimental studies, M.S.B., J.G.G., R.D.S., D.R.A.; data acquisition, M.S.B., J.G.G., R.D.S., D.R.A.; data analysis/interpretation, all authors; statistical analysis, M.S.B., J.W.S.; manuscript preparation and definition of intellectual content, all authors; manuscript editing, M.S.B., J.G.G., M.F.M.G., D.R.A.; manuscript revision/review and final version approval, all authors.


    REFERENCES
 TOP
 ABSTRACT
 INTRODUCTION
 Materials and Methods
 Results
 Discussion
 APPENDIX
 REFERENCES
 

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