Character rasterization on middle-resolution output devices (screens, laser printers) is one of the most difficult tasks in the domain of resolution-independent raster imaging. Low sampling leads to unacceptable low-quality discrete character shapes. Better looking shapes can be generated by adapting parts of the shape outline to the sampling grid. Grid adaptation of character parts is realized by several outline phase control mechanisms. Algorithms have been developed to adapt horizontal and vertical bars as well as curvilinear character parts to the grid. Special phase control mechanisms are used to ensure a uniform appearance of characters over the baseline