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Model-Based Erosion Spotting and Visualization in Rheumatoid Arthritis

Rationale and Objectives

A method for the automatic detection and the visualization of erosions caused by rheumatoid arthritis is investigated. Erosion-enhanced viewing is a contribution to the computer-aided diagnosis of rheumatoid arthritis. It supports the clinician by providing the automatic marking of erosions and the visualization of any deviations from intact anatomy for a concise reviewing interface.

Materials and Methods

A generative appearance model is used to capture the variability of intact bone and erosions. The algorithm marks erosions on hand radiographs using this model, and visualizes these erosions with the help of the residual appearance error after fitting the model built from intact bone texture. The algorithm was evaluated on 17 hand radiographs. The standard of reference was an annotation of the erosions by a musculoskeletal radiologist.

Results

Detection results from the algorithm are reported for a set of 17 radiographs of moderately diseased hands. With a specificity of 84%, the detection of unequivocal erosions achieved a sensitivity of 85%. A receiver operating characteristic analysis yields an area under the curve of 0.92. The visualization provided a clear representation of the erosions as determined by two musculoskeletal radiologists.

Conclusion

The automatic spotting of erosions provides promising results, and the visualization of the deviation from healthy anatomy aids clinicians in the evaluation of the erosions and in the reviewing of automatic detection results.

Rheumatoid arthritis (RA) is a chronic disease that affects primarily the synovial membranes and articular structures of multiple, mainly peripheral, joints. The disease is progressive and results in pain, stiffness, and swelling of joints, which can show deformity and ankylosis. A recurring inflammation of the affected joints (ie, arthritis) leads to a degradation of cartilage and bone erosions. This affects physical function and mobility, causes substantial short-term and long-term morbidity and results in a significantly shorter life expectancy compared with that of the general population.

The key radiographic findings of RA are erosions and joint space narrowing in the wrist and metacarpophalangeal joints. Erosions and joint space narrowing are important for the differentiation and the quantification of the disease ( ). Their precise quantification is a decisive factor for the treatment with aggressive treatment strategies (eg, methotrexate) or with biologic agents, such as anti–tumor necrosis factor alpha drugs. Furthermore, the anti-inflammatory effects of different agents, which retard the radiographic progression of the disease, as determined radiographically, must be compared in clinical trials. This makes a reproducible and accurate quantification of disease progression mandatory. Radiography is used as the standard modality to monitor the long-term progression of RA. Its negligible radiation dose and the standardized acquisition procedures have made the use of the scoring of joint space narrowing and erosions as imaging biomarkers for the monitoring of the disease during treatment and in clinical trials possible.

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Materials and methods

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Locating Bone Contours

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¯ is the mean shape and n p can be chosen to fulfill a given accuracy constraint. n p was chosen so that 95% of the training set variability are represented by the model. The eigenvalues λ j correspond to the variance of the data in the direction e j . It can be viewed as a mean shape of an object and a set of valid deformations that, if applied, generate new instances of shapes because the model constraint these shapes remain in the learned class of objects. The local texture information at the landmark positions is extracted in the form of gray-level profiles orthogonal to the contour. ASMs are described in detail elsewhere ( ).

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Extracting Local Bone Appearance

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Figure 1, Scheme of the method: patches are extracted from the bone contour and are classified with respect to the presence of erosions. The residual error after fitting by the appearance model serves as basis for a concise erosion visualization.

Figure 2, Bone texture patches and models. (a) Examples of bone texture patches, with the bone contour on the lower patch border; (left) affected by erosions, (right) not affected; (upper row) radiography texture, (lower row) local gray-value range images. (b) Resulting appearance models: centers and first four modes of variation: (upper row) erosion- model; (lower row) nonerosion model.

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Modeling Appearance

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Detection of Erosions

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l(pi)={Erosion,p(ERO)p(pi|ERO)>p(NONERO)p(pi|NONERO)Non Erosion, otherwise l

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where l (p i ) is a label assigned to each point on the bone contour stating whether it belongs to an erosion or not. p ( θ ERO ) (where p ( θ NONERO ) + p ( θ ERO ) = 1) is the prior probability for an erosion to occur. It is estimated from the training set. The receiver operator characteristic curve in Fig 3 is reported with regard to the parameter p ( θ ERO ), i.e., p ( θ ERO ) was varied from 0 (no patch is classified as erosion) to 1 (all patches are classified as erosion). The resulting label l ( p i ) is an indicator for the presence of erosions on each bone contour point. It can be used to quantify the extent of the erosion directly. Moreover, the label is visualized in the radiograph to provide the radiologist with the possibility to verify the detected erosions.

Figure 3, (Left) Receiver operator characteristic analysis for the erosion detection rate for 17-fold cross validation on hand radiographs; (right) example of the ratios between p (p i ⊻ θ ERO ) and p (p i ⊻ θ NONERO ) for a set of contour points. Two erosions are indicated by arrows.

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Visualization of Erosions

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Setup of the Evaluation

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Results

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Figure 4, (Left) Unequivocal erosions indicated by circles and automatic detection result (black lines) after automatic analysis of PP2-PP5. For reference, a healthy PP3 is depicted on the right.

Figure 5, Examples for patch reconstructions by the model. (a) Two examples for intact bone, (b) two examples for erosions: (left) observed patch, (center) reconstruction, (right) residual error (for better visibility the residual error was multiplied by a factor of 5). The red arrows indicate erosions, where the residual error is high.

Figure 6, Erosion visualization, for each example: (a) standard of reference, (b) erosion-enhanced view, (c) ratio between p (p i ⊻ θ ERO ) and p (p i ⊻ θ NONERO ) depicted as color: red corresponds to a high value, blue to a low value. In the images depicting the erosion-enhanced view, red arrows indicate the locations of erosions.

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Discussion

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Conclusion

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