Tomography with few projections
With special classes of objects, it is possible to apply tomographic techniques with only a few projections. Examine the following examples and determine how many projections are required for a complete reconstruction:
1. An arbitrary rotationally symmetric object.
2. An arbitrarily formed object without holes (only one surface) consisting of a homogeneous material.
3. Few small objects that do not superimpose each other in any projection. You only want to determine the center of gravity of these objects and their volume.
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