Manuscript VII-C@1 · VII-C.tex · section · 8b2ade29

The reflected light-ray transform

The mandatory mixed triple › The reflected light-ray transform · lines 1123–1135

VII-C@1#eq:ray

For $y = (s, y)$ and $n \in S^{2}$ , define

A_{f} (y, n) = \int_{R} f (t, y + n (t + s)) d t .

Only a compact interval contributes. Geometrically, this samples a future observation ray issuing from the spatial point $y + s n$ on $Σ_{0}$ .

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