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A Novel Approach to Nodule Feature Optimization on Thin Section Thoracic CT

Rationale and Objectives

An analysis for the optimum selection of image features in feature domain to represent lung nodules was performed, with implementation into a classification module of a computer-aided diagnosis system.

Materials and Methods

Forty-two regions of interest obtained from 38 cases with effective diameters of 3 to 8.5 mm were used. On the basis of image characteristics and dimensionality, 11 features were computed. Nonparametric correlation coefficients, multiple regression analysis, and principal-component analysis were used to map the relation between the represented features from four radiologists and the computed features. An artificial neural network was used for the classification of benign and malignant nodules to test the hypothesis obtained from the mapping analysis.

Results

Correlation coefficients ranging from 0.2693 to 0.5178 were obtained between the radiologists’ annotations and the computed features. Of the 11 features used, three were found to be redundant when both nodule and non-nodule cases were used, and five were found redundant when nodule or non-nodule cases were used. Combination of analysis from correlation coefficients, regression analysis, principal-component analysis, and the artificial neural network resulted in the selection of optimum features to achieve F -test values of 0.821 and 0.643 for malignant and benign nodules, respectively.

Conclusion

This study demonstrates that for the optimum selection of features, each feature should be analyzed individually and collectively to evaluate the impact on the computer-aided diagnosis system on the basis of its class representation. This methodology will ultimately aid in improving the generalization capability of a classification module for early lung cancer diagnosis.

Computer-aided diagnosis (CAD) for thoracic computed tomographic imaging to detect lung nodules plays a vital role in early cancer diagnosis and thus aids in reducing the mortality rate significantly . The most crucial stage in any CAD system is the final classification module, which differentiates malignant lesions from benign lesions using their inherent image characteristics. The input to such a classification module is a set of image features that represent the nodule characteristics. These characteristic features are extracted using a mathematical approach that simulates the human representation of nodule properties.

The Fleischner Society defines a lung nodule from two perspectives. As seen by a pathologist, it is a “small, approximately spherical, circumscribed focus of abnormal tissue,” and for a radiologist, it is “a round opacity, at least moderately well marginated and no greater than 3cm in maximum diameter.” Non-nodules have a visual presentation that is very similar to nodules but are not cancerous. The assessments of nodule characteristics done by radiologists and pathologists differ from that of the image-processing perspective . However, because the image features calculated within a CAD system are motivated largely by a radiologist’s perspective, there exists an inherent correlation between human visualization and the mathematical approach to feature characterization.

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Figure 1

Proposed identification process flowchart. CT, computed tomographic; ROI, region of interest.

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Materials and methods

Database

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Figure 2, Histogram of nodule size.

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Nodule Segmentation

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Nodule Characteristics

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Table 1

Radiologist’s Annotations Used by the Lung Imaging Database Consortium

Feature Description Scale 1 Subtlety Radiologist-assessed subtlety of nodule 1 = extremely subtle, 5 = obvious 2 Internal structure Radiologist-assessed internal structure score of nodule 1 = soft tissue, 2 = fluid, 3 = fat, 4 = air 3 Calcification Radiologist-assessed of internal calcification of nodule 1 = popcorn, 2 = laminated, 3 = solid, 4 = noncentral, 5 = central, 6 = absent 4 Sphericity Radiologist-assessed shape of nodule in terms of its roundness/sphericity, with only three terms defined 1 = linear, 3 = ovoid, 5 = round 5 Margin Radiologist-assessed margin of nodule, with only the extreme values explicitly defined 1 = poorly defined, 5 = sharp 6 Lobulation Radiologist-assessed nodule lobulation, with only the extreme values explicitly defined 1 = marked, 5 = no lobulation 7 Spiculation Radiologist-assessed nodule spiculation, with only the extreme values explicitly defined 1 = marked (marked spiculation), 5 = no spiculation (no spiculation) 8 Texture Radiologist-assessed nodule internal texture, with only three terms defined 1 = nonsolid/ground class opacity, 3 = part solid/mixed, 5 = solid texture 9 Malignancy Radiologist subjective assessment of likelihood of malignancy of this nodule (assuming 60-year-old male smoker) 1 = highly unlikely for cancer, 2 = moderately unlikely for cancer, 3 = indeterminate likelihood, 4 = moderately suspicious for cancer, 5 = highly suspicious for cancer

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Table 2

Classification of Image Features Used in the Project

Shape Size Intensity Texture Sphericity (3D) Volume (3D) Mean pixel value (3D) Contrast (3D) Maximum compactness (2D) Area (2D) SD (3D) In-plane contrast (2D) Maximum eccentricity (2D) Maximum mean pixel value (2D) In-plane SD (2D)

SD, standard deviation; 3D, three-dimensional; 2D, two-dimensional.

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Correlation Analysis

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Parametric Versus Nonparametric

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Table 3

Shapiro-Wilk Hypothesis Test for Normality of the Data

Features_P_ Test ( P < .05) Shapiro-Wilk Test Statistic ( W ) Volume .6103 0 0.9575 Sphericity .1006 0 0.9266 Mean .0000 1 0.6723 SD .1985 0 0.9381 Contrast .0000 1 0.6687 Area .0000 1 0.6471 Compactness .6468 0 0.9586 Maximum mean .1422 0 0.9324 Maximum contrast .0859 0 0.9235 Maximum SD .0000 1 0.6608 Eccentricity .0000 1 0.7093

SD, standard deviation.

Table 4

Sphericity Measurements for Figure 5

Sphericity Case Radiologist Calculated 1 3 0.1759 2 5 0.1797

Table 5

Redundant Features From Principal-Component Analysis

Category Variation Threshold Number of Redundant Features Nodule 2% 5 Non-nodule 2% 5 Both nodule and non-nodule 2% 3 Radiologist 2% 4

Table 6

Classification Results of Three and Two Dimensions and Combined Features

Correctly Classified Incorrectly Classified_F_ (nodule)F (non-nodule) 3D 76.1905 23.8095 0.828 0.615 2D 78.5714 21.4286 0.847 0.64 3D and 2D 69.0476 30.9524 0.787 0.435

3D, three-dimensional; 2D, two-dimensional.

Table 7

Classification Using All Features Except Maximum Eccentricity

Correctly Classified Incorrectly Classified_F_ (nodule)F (non-nodule) Correlation with Radiologist All but maximum eccentricity 69.0476 30.9524 0.787 0.435 0.2693

Table 8

F -Test Results for Various Features

Features_F_ (nodule)F (non-nodule) Correlation with Radiologist All computed features 0.8 0.5 N/A Volume 0.8 0 0.5027 Contrast 0.8 0 0.3739 Compactness 0.765 0 0.5178 Sphericity 0.75 0.5 0.4586 Area 0.831 0.421 0.4739 Maximum contrast 0.767 0.417 0.3397 Maximum eccentricity 0.733 0.333 0.2693 Mean 0.698 0.095 0.4947 SD 0.698 0.095 0.4123 Maximum mean 0.698 0.095 0.4675 Maximum SD 0.738 0.105 0.3961 Sphericity, area, maximum contrast, maximum eccentricity 0.821 0.643 N/A Volume, compactness, contrast 0.781 0.3 N/A

N/A, not available; SD, standard deviation.

Table 9

F -Test Results Using All Features Except Those Mentioned in the Table

All Features Excluding_F_ (nodule)F (non-nodule) Volume 0.8 0.5 Sphericity 0.814 0.56 Mean 0.822 0.522 SD 0.759 0.462 Contrast 0.793 0.538 Area 0.833 0.583 Compactness 0.8 0.5 Maximum mean 0.8 0.5 Maximum contrast 0.833 0.583 Maximum eccentricity 0.787 0.435 Maximum SD 0.759 0.462

SD, standard deviation.

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Multiple Regression Analysis

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Classification

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Knowledge Base

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Results

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Figure 3, Correlation analysis between computed features and radiologists' annotations. Parametric correlation coefficient values are used to show the strength of mapping. SD, standard deviation; 3D, three-dimensional; 2D, two-dimensional.

Figure 4, Regions of interest as marked by four different radiologists (blue, green, red, and cyan lines) for a nodule on consecutive slices shown along the in-depth (z) direction.

Figure 5, Sphericity measured by different radiologists and calculated along with the volume of the nodule.

Figure 6, Two different nodule cases with equal calculated sphericities but unequal annotated sphericity values as indicated in Table 6 . Consecutive slices along the in-depth ( z ) direction are shown.

Figure 7, Radiologist's assessment of sphericity versus machine-calculated sphericity.

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Figure 8, Multiple regression analysis results for two-dimensional (2D) and three-dimensional (3D) parameters. The x axis is the radiologist's annotations, and the y axis represents the square of the correlation coefficient ( R 2 ).

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Discussion

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