Inverse Fourier Transform in the Gamma Coordinate System

Figure 3

Nonuniqueness of the representation of a point in the Γ coordinates. (a) The Γ coordinate system, (b) a general curve Γ_AB on the unit sphere, and (c) the intersections of Γ_AB and the great circle orthogonal to a given vector 𝑘⃗. When 𝑆 moves from A to B Γ_AB, some region may be scanned more than once.

(a)

(b)

(c)