  Here we introduce a new forward model and imaging modality for Bragg
Scattering Tomography (BST). The model we propose is based on an X-ray portal
scanner with linear detector collimation, currently being developed for use in
airport baggage screening. The geometry under consideration leads us to a novel
two-dimensional inverse problem, where we aim to reconstruct the Bragg
scattering differential cross section function from its integrals over a set of
symmetric $C^2$ curves in the plane. The integral transform which describes the
forward problem in BST is a new type of Radon transform, which we introduce and
denote as the Bragg transform. We provide new injectivity results for the Bragg
transform here, and describe how the conditions of our theorems can be applied
to assist in the machine design of the portal scanner. Further we provide an
extension of our results to $n$-dimensions, where a generalization of the Bragg
transform is introduced. Here we aim to reconstruct a real valued function on
$\mathbb{R}^{n+1}$ from its integrals over $n$-dimensional surfaces of
revolution of $C^2$ curves embedded in $\mathbb{R}^{n+1}$. Injectivity proofs
are provided also for the generalized Bragg transform.
