The principle of functional voxel construction of complex computational processes is given on the example of modeling the R-function of the union or the intersection of the domains of two functions. The basics of arithmetic operations on the local geometric characteristics describing the components of a homogeneous unit vector of a local function are analyzed. The principle of de-normalization of such components for use in arithmetic operations that make up the R-function is demonstrated. The modeling of the scene in the form of a layout of concentric objects and a local function of target description by the surface of the funnel at a specified point is considered. The algorithm of dynamic formation of the final local function of the union of the surface of the funnel with the surface of the scene at the current point is considered. Based on the final local function, the components of the vector of the gradient movement towards a given target are determined.