In this thesis, new algorithms and architectures are presented for the acquisition and rendering of displacement maps. Displacement mapping is a popular rendering technique commonly found in commercial rendering packages, it modifies the surface of an otherwise flat triangle by displacing its points according to a height field, giving the impression of a structured surface. Although widely used in software renderers for many years, hardware accelerated rendering was long missing, because of the diculties involved. The main focus of this work is on adaptively rendering techniques, especially adaptively tessellating triangular meshes to improve rendering performance and reduce bandwidth requirements. Following a general definition of displace...