This disclosure proposes techniques for transform partitioning in an intra-prediction video coding process. In one example, for a given intra-predicted block, a reduced number of transform unit partition options is allowed, based on certain conditions. In another example, transform units are decoupled from prediction units for intra-predicted block. For a given prediction unit, transforms of different sizes and shapes from the prediction unit may be applied. In another example, a reduced number of intra-prediction modes are allowed for a prediction unit having a non-square shape.