In [1], we proved that a lambda tomography (LT) image can
be reconstructed based on either an even or an odd data extension. Unfortunately, the
proof related to the odd data extension is not generally correct, because equation (31)
is a necessary condition instead of a sufficient one for equation (32). That is, in the
general case, equation (32) cannot be obtained from equation (31). However, the
reconstruction formula without any data extension remains correct in practical
applications where the object support is constrained in a convex region surrounded
by a scanning trajectory. We apologize for any confusion that [1] might have caused. For more details, please refer to our new paper [2].