1(19)/2006, p. 107

Witold Szymański
On a certain transformation of perspective onto a vertical background into perspective onto a slanting background

    The presented method allows easy transforming of perspective realized onto a vertical background into perspective onto a slanting background. As a result it is possible to create perspective images of optional spatial arrangements onto a slanting background through collinear transformation of the perspective of such arrangements existing on a vertical background.
    It widens the knowledge in the range of practical application of collineation of spatial systems and flat systems. It may be applied in didactics and perspective practice.
    The weakness of the so-called points of measuring method used hitherto is that it relates only to simple multi-wall systems, most often perpendicular, usually having no more than three perspective con-fluences for the directions of their borders. The inconveniences of this method are revealed in multi-stages in perspective didactics.
    Irrespective of this, the attainable literature on the subject often propagates a false image of perspective transformation creating out of the instrument an aim in itself. This is reflected in the vocabulary referring to this issue. Such terms as single-, double-, or three-confluence prove the lack of understanding the essence and aim of the transforming.
    While it is known that the principle of perspective visualization is unchangeable while the form of the visualized object is of no significance. Otherwise, there would exist an infinite number of perspectives, whose designations would condition the quantity of the so-called points of confluence, which obviously leads to the absurd while perspective-drawing text books would be neverending.