Response to "Feasibility of 3D reconstruction from a single 2D diffraction measurement"

We present our response to Pierre Thibault's article, titled "Feasibility of 3D reconstruction from a single 2D diffraction measurement" [1], in which he commented upon our recent ankylography paper [2]. While we appreciate Thibault's efforts in promoting further reflection on our paper, we found serious errors both in his understanding and analysis of ankylography: he inaccurately presented the oversampling scheme in ankylography, incorrectly described our reconstruction algorithm and our experiment, and formulated arguments based upon a flawed and overly-restrictive theoretical analysis. Therefore, we conclude that his main claims are either scientifically invalid or a misrepresentation of our claims about ankylography. Below is our detailed point-by-point response to his criticisms.