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We demonstrate lensless imaging of three-dimensional phantoms of fluorescent nanodiamonds in solution. Magnetofluorescence imaging is employed, which relies on a dependence of the fluorescence yield on the magnetic field, and pervading the object with an inhomogeneous magnetic field. This field provides a field-free field line, which is rastered through the object. A 3D image of the object is obtained by imaging a set of 2D slices. Each 2D slice image is computed from a set of 1D projections, obtained under different projection direction