A computer generated model for assessment of lesion edge sharpness in breast MRI

This is a poster presented at IOS 2000 (British Journal of Radiology Supplement to volume 73 poster 0207)

INTRODUCTION

In breast MRI, small enhancing foci may be difficult to characterise as either benign or malignant using enhancement characteristics alone. Morphological features, including edge sharpness, may be useful in such cases. Edge sharpness, however, may be difficult to assess, either by qualitative observation, or by automated methods. This may be a particular problem in dealing with small lesions (< 5 mm) which could have a diameter of 5 pixels or less. Pixels located at the edge of a lesion contain little fine detail, and may include signal from both lesion and adjacent tissues (partial volume effect).

In order to assess perception of edge sharpness (by observers, or using quantitative computational methods) it would be helpful to be able to control the appearance of the lesion. The purpose of this study was to develop computer generated images of simulated lesions, which could then be utilised to assess perception of edge sharpness for a range of lesion and pixel sizes.

METHOD

The source data was acquired from patients undergoing breast MRI using a T1 weighted 3D FLASH (Fast Low Angle Shot) acquisition at 1.0 T (Siemens Impact Expert). In routine clinical practice, images are acquired immediately before and before and after injection of Gd DTPA (0.2 mmol/kg). A subtracted image set can be created by subtracting the post from pre contrast image.
fibroadenoma image Figure 1a Coronal plane section of the right breast, from subtracted dataset showing a well defined enhancing lesion The mass was shown to be a fibroadenoma
MR carcinoma image Figure 1b Coronal plane section from a subtracted dataset showing an enhancing lesion within the lateral aspect of the left breast subsequently shown to be a carcinoma
To generate simulated lesions, we start with a 3D array of voxels which are much smaller than those on the desired image. The voxels which lie inside an ellipsoid (a 3D ellipse) are identified (Figure 2). For each voxel inside the ellipsoid, the distance to the nearest edge of the ellipsoid is calculated. The voxel is assigned a intensity value which depends on this distance - to simulate a blurred edge, the intensity linearly decreases to zero at the edge of the ellipsoid. The number of voxels over which this decrease occurs determines the sharpness of the edge.

The pixel intensity on the simulated image is then calculated by averaging the voxel intensity in the 3D array in the x, y and through slice (z) directions.
simulated image profile Figure 3 Plots of intensity along one axis of the ellipsoid. The solid line represents the intensity in the high resolution voxels, and the dashed line the averaged intensity in the generated image pixels.
Random Gaussian noise is then added to the images to simulate the appearance of MR images. The standard deviation of the noise is varied according to the image parameters such as pixel size.

RESULTS

Fig 4 shows two generated images of ellipsoids of different sizes and edge sharpness. 4b) has an improved SNR, but slightly more blurred edges due to partial volume effects associated with its larger slice thickness.
simulated image simulated image
Figure 4a) slice thickness 1 mm. 4b) slice thickness 4mm.

The images have a 1mm2 pixel size, ellipsoid radii varying from 3.5 to 6 mm. The distance over which the intensity in the ellipsoid falls from its maximum to zero at its edge varies from from 0 to 2.5 pixels.

An array of simulated images can be generated, changing such parameters as the size, shape and intensity profile of the lesion, the signal to noise ratio, and the pixel size/slice thickness. These can then be used to test perception of edge sharpness under the varying conditions.

The simulations can also be combined with real images. which allows the edge sharpness to be assessed under realistic conditions.
MR image MR image with added lesion subtracted image
Figure 5a) Coronal plane pre contrast image of left breast. 5b) post contrast image with added simulated lesion 5c) image generated by subtracting 5b) from 5a).

The simulated lesion is indicated by the thick arrow. The thin arrow points to a real area of enhancement (subsequently found to be a fibroadenoma)

More complex simulations

Using more complex mathematical descriptions of shape, such as b-spine curves, it is possible to simulate lesions with irregular boundaries. The intensity profile may also include a fall off in signal intensity towards the centre of the lesion, as seen in some malignant lesions.

simulated image Figure 6 Two simulated lesions with an irregular surface, and radial intensity profile which decreases centrally
These simulated lesions can then be inserted into real MR images to generate image sets which may be used to train observers.

CONCLUSION

This simulation enabled the generation of images of 'lesions' representative of breast MR lesions, with varying edge sharpness. These virtual lesions may be inserted into real imaging datasets from breast MRI examinations.

In future, the simulation will be used to explore the relationship between lesion size, spatial resolution, lesion edge parameters and perception of lesion edge by observers.

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