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Light-based technologies for 3D printing have recently been developed and are leading the field thanks to their unmatched performance. However, these techniques are still limited to using incoherent light patterning for printing. Here, we present a novel approach that allows us to print using coherent patterns by combining light-beam shaping and tomographic projections. We demonstrate this concept with a volumetric printer based on reverse tomography using a Digital Micromirror Device (DMD) in a holographic configuration. The Lee holograms method allowed us to use the DMD as a fast phase modulator and the HoloTile approach to achieve fast and speckle-reduced holograms.