Abstract
Background: Early diagnosis of a brain tumor may increase life expectancy. Magnetic
resonance imaging (MRI) accompanied by several segmentation algorithms is preferred as a reliable
method for assessment. The availability of high-dimensional medical image data during diagnosis
places a heavy computational burden and a suitable pre-processing step is required for lower-
dimensional representation. The storage requirement and complexity of image data are also a
concern. To address this concern, the random projection technique (RPT) is widely used as a multivariate
approach for data reduction.
Aim: This study mainly focuses on T1-weighted MRI image clustering for brain tumor segmentation
with dimension reduction by using the conventional principal component analysis (PCA) and
RPT.
Methods: Two clustering algorithms, K-means and fuzzy c-means (FCM) were used for brain tumor
detection. The primary study objective was to present a comparison of the two clustering methods
between MRI images subjected to PCA and RPT. In addition to the original dimension of 512
× 512, three other image sizes, 256 × 256, 128 × 128, and 64 × 64, were used to determine the effect
of the methods.
Results: In terms of average reconstruction, Euclidean distance, and segmentation distance errors,
the RPT produced better results than the PCA method for all the clustered images from clustering
techniques.
Conclusion: According to the values of performance metrics, RPT supported fuzzy c-means in
achieving the best clustering performance and provided significant results for each new size of the
MRI images.
Keywords:
Dimension reduction, average reconstruction error, euclidean distance, segmentation distance error, random projection
technique, principle component analysis, fuzzy c-means, K-means.
Graphical Abstract
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