In this work we address the question of how to exploit typical architectural structures to improve recovery for CAD modeling of built environments from 3D data. In doing so we have examined the applicability of the GENOCOP III algorithm to the model fitting. The algorithm uses explicit domain knowledge, specifically geometric constraints in the form of parameterized surface models and an Euclidean fitting of geometric primitives that describe the parameterized surface models. Beside some results fitting parameterized surface models to real 3D datasets, example times for convergence and comparison with known ground truth are given.