The paper deals with the reconstruction of spatial coordinates of an arbitrary point from a scene using two monochromatic images which are in general relation. These two images can be created for example by a stereo camera in practical applications. Calculation is based on the perspective geometry. Search of the point features in each of these images is a fundamental building step to find image correspondence in this procedure. An algorithm for fast elimination of false correspondences which could devastate the scene reconstruction was designed. Well known mathematic relation is used to obtain the fundamental matrix and then reconstruct the 3D coordinates of feature points. Acquisition of 3D coordinates of points in the scene for which it is difficult to find correspondences is more complicated. In the paper, we have proposed a method based on utilization of the relation between the selected point and near features points. The performed experiments confirmed usability of designed procedure.