Fibrous nano-materials can be imaged using high resolution X-ray computer tomography (XCT). Some important parameters that are often manually estimated from this imaging data include the orientation distribution and the thickness of the fibres. Automation of this process is hampered by the close proximity of the fibres even with sub-micron voxel sizes. An automated sampling methodology has therefore been developed that can detect points in the imaging data where fibres are present and well separated. Polycaprolactone (PCL) electrospun fibrous material was prepared and imaged with a Zeiss Xradia Versa 510 Microtomography XCT. Automated measurements were then determined and further summarised using a single parameter measure.