Point count stereology is a useful tool in obtaining volumetric measures of objects in three-dimensional (3D) images when the segmentation of objects is not feasible. Presently, fixed-grid 3D stereology is being used where a 3D parallelepiped grid is randomly placed for sampling the image space in order to generate test points. Although this is a popular technique, the use of a fixed grid introduces errors in the final estimate in practice and makes the technique inefficient. Random-grid 3D stereology is introduced to improve the efficiency of the volume estimates in stereology. In this manuscript, we prove random-grid stereology as a more consistent technique than fixed-grid stereology and use it for volumetry of the brain and ventricles in magnetic resonance (MR) head scans. We demonstrate superior efficiency and accuracy of random-grid stereolog
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