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GATE 2023 BM – Question 57

Medical Imaging Systems · X-Ray and Computed Tomography · 2 marks · Numerical answer

A two-dimensional square plate of side 20 mm contains a homogeneous circular inclusion of diameter 5 mm. A parallel X-ray beam of width 30 mm is used in tomography to locate the inclusion. What is the minimum number of views required to approximately determine its location?

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Correct answer: 2 to 2

Explanation

A projection through the plate determines the inclusion’s position along the detector coordinate but leaves its depth along that ray direction undetermined. A second, nonparallel view supplies an independent coordinate. Intersecting the two positional constraints locates the centre of the circular inclusion approximately. Therefore two views suffice for location, although full tomographic reconstruction needs more.

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