In this paper we address the problem of the estimation and automatic generation of structural perspective elements in architectural scenes. Structural character of geometric approach concerns to the preservation of incidence and adjacency constraints which can be visualized in different views of the same scene. The automatic generation of a perspective model from a view provides a support for the required visualization. It is necessary apply strong architectural constraints between the projection of structural elements lying onto planes of the 3D scene. These architectural constraints are relative to projections of parallelism and orthogonality conditions in the 3D scene dependent to elements lying onto at least two planes. We add grouping criteria based on quadrilaterals to include apparent distortions arising from perspective effects. Incidence relations between lines lying in adjacent planes in the 3D scene are visualized as junctions. The automatic identification of the type of junctions determines the relative orientation between adjacent planes. Adjacency and incidence properties allow us to construct a coarse piecewise linear structure based on oriented quadrilaterals. Their boundaries labelled as multiple junctions give a wired structure which is automatically superimposed to each view to simplify the generation of virtual views. The introduction of multivector representation simplify the visualization and management of 3D information arising from the lifting of adjacent quadrilaterals to 3D cuboids for visualization tasks.