Preprint Open access
Latent Space Is Not Flat: Rethinking Latent Structure for 3D Medical Image Synthesis
Latent generative models make 3D medical image synthesis computationally practical by generating in a compressed space. However, we show that the common flat Euclidean assumption induced by $\ell_2$ objectives is imprecise: latent-space geometry is so strongly anisotropic that equal-magnitude errors can produce drastic …