This lecture overviews Image-Based Rendering and View Synthesis that has many applications in computer graphics, data visualization, simulators, Virtual Environments and media production. It covers the following topics in detail: Rendering with no geometry (Plenoptic function, Light field and Lumigraph, Concentric mosaic rendering, Panoramic mosaic rendering). Rendering with implicit geometry (View interpolation, View morphing, Transfer methods). Rendering with explicit geometry (3D warping, Layered Depth Images, View-dependent texture mapping, Surface rendering, Volume rendering). Learning-based view synthesis (Free View Synthesis, NERF).