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This lecture covers the principles of tomography and light sheet for volumetric printing, the cost of manufacturing in vat photopolymerization, the importance of polymers in additive manufacturing, and the chemical components in resins for stereolithography. It also discusses radical chain polymerization, the role of oxygen in photo-initiation, monomers for irreversible curing, and the use of photoinitiators. The lecture delves into Fourier transform, the central slice theorem, pattern filtering, the Radon transform, and backprojection in 3D printing. It explores the process of volumetric printing by tomography, including local absorbed light dose, gelation threshold, and insufficient cumulated dose for solidification.