TY - GEN N2 - We present a framework for accelerated iterative reconstructions using a fast and approximate forward model that is based on k-space methods for photoacoustic tomography. The approximate model introduces aliasing artefacts in the gradient information for the iterative reconstruction, but these artefacts are highly structured and we can train a CNN that can use the approximate information to perform an iterative reconstruction. We show feasibility of the method for human in-vivo measurements in a limited-view geometry. The proposed method is able to produce superior results to total variation reconstructions with a speed-up of 32 times. EP - 111 A1 - Hauptmann, A A1 - Cox, B A1 - Lucka, F A1 - Huynh, N A1 - Betcke, M A1 - Beard, P A1 - Arridge, S UR - http://dx.doi.org/10.1007/978-3-030-00129-2_12 CY - Cham, Switzerland ID - discovery10058919 PB - Springer N1 - © 2018, Springer Nature Switzerland AG. This version is the author accepted manuscript. For information on re-use, please refer to the publisher?s terms and conditions. Y1 - 2018/09/12/ TI - Approximate k-space models and deep learning for fast photoacoustic reconstruction AV - public KW - Learned image reconstruction · Photoacoustic tomography · Fast Fourier methods · Compressed sensing SP - 103 SN - 1611-3349 T3 - Lecture Notes in Computer Science ER -