X-ray CT apparatus
By determining complementary projection points and calculating weights in the X-ray CT equipment, interpolation and wedging techniques are used to restore the clipped data, which solves the data clipping problem when scanning larger objects and improves image quality and integrity.
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[0047] Figure 5 Shows the concept of complementary rays. The fan beam ray (β, γ) has an opposing complementary ray (β+π+2γ, −γ), so that the cone beam transformation function g(β, γ)=g(β+π+2γ, −γ). The opposite complementary ray has x-ray radiation opposite to the truncated ray, which has the same path as the truncated ray. Assuming fan beam data is available and needs to fully cover the entire FOV of the object, g(β,γ), β>0, -γ max ≤γ max , beyond the detector angle range. For example, there can be corresponding to γT≤γ≤γ max , the truncated region of γT>0, and the data pair -γ max ≤γ≤γT is known. For example, see Figure 4 . For γT≤γ0≤γ max The intercepting ray (β0, γ0), the complementary ray (β 0 C , gamma 0 C )=(β 0 +π+2γ 0 ,-γ 0 ) is known because γ max ≤γ 0 C ≤-γT.
[0048] The projection angle β±π+γ is complementary to the ray (β,γ). For ring geometries, which do not matter from a pure geometry point of view, their complementary projections are use...
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