Abstarct: Importance of hydrocarbon recources exploration with respect to the geological complexity with conflicting dips and low data quality require more accurate seismic imaging. The Common-Reflection-Surface stack method parameterizes and stacks seismic reflection event in a generalized stacking velocity analysis. The implementation is able to deal with a discrete number of events contributing to a given stack sample suth that conflicting dips situation can be handeld. However, the reliable detection of such situation is difficult and missed contributions to the stacked section might cause artifacts in a subsequent poststack migration. This is deleterious for complex data where prestack migration is no viable option due to its requirements concerning the accuracy of the velocity model, such that we might have to rely on poststack migration. In addition to the handling of a small number of discrete dips, the conflicting dips problem has been addressed by explicitly considering a virthally continuous range of dips with a simplified Common-Reflection-Surface stack operator in process termed Common-Diffraction-Surface stack. In analogy to the Common-Reflection-Surface stack, The Common-Difraction-Surface stack has been implemented and successfully applied in a data-driven manner. As this comes along with significant computional cost, we now present a much more efficient model-baxsed approach to the Common-Difraction-Surface stack which is designed to generate complete stack sections optimized for poststack migration. This approach only requires a smooth macro-velocity model of minor accuracy so sensibity to velocity model is decreased