Controlling and accomplishing the desired functional material composition in a heterogeneous object is a close loop process and requires frequent re-modeling-and-analysis. Thus, flexibility and capability to efficiently modify the existing CAD model of a heterogeneous object are essential aspects of heterogeneous object modeling. The current work unfolds such capabilities of the developed material convolution surface approach. The geometric and material control features associated with the approach demonstrate the potential to modify existing material-distributions to re-model complex material variations and assure rapid heterogeneous composition adaptations. Convolution material primitives, material potential functions, heterogeneous and gradient enclosure are manipulated to achieve desired material compositions across the heterogeneous region. The manipulation process for each control feature has been established. A few examples of modeling and modifying complex material-distributions have been reported for the validation of work.