Methods, systems, and media for generating compressed images are provided. In some embodiments, the method comprises: identifying a multi-plane image (MPI) that represents a three-dimensional image; splitting the MPI into a plurality of sub-volumes; calculating, for each sub-volume of the MPI, a depthmap; converting each depthmap to a mesh, wherein each mesh corresponds to a layer of a plurality of layers associated with a multi-depth image (MDI) to be rendered; calculating, for each layer of the plurality of layers, an image that indicates a color and a transmittance of each voxel included in the layer; storing the meshes corresponding to the plurality of layers of the MDI and the images corresponding to the plurality of layers of the MDI as the MDI; and, in response to receiving a request for the three-dimensional image from a user device, transmitting the MDI to the user device, wherein the user device is configured to render the MDI by mapping, for each layer of the MDI, the image corresponding to the layer as a texture on the mesh corresponding to the layer.