
06093961
j
2012f.01007
Crannell, Annalisa
Perspective drawings of reflective spheres.
J. Math. Arts 5, No. 2, 7185 (2011).
2011
Taylor \& Francis, Abingdon, Oxfordshire
EN
M80
perspective
vanishing points
reflective spheres
mirrors
doi:10.1080/17513472.2011.555266
Summary: We give an analysis of the planar perspective images of reflections of lines in a mirrored sphere, paying particular attention to the number and location of their vanishing points. We use this analysis to describe how to draw the images of boxes reflected in a mirrored sphere, providing an analogy of what, in linear perspective, would be onepoint perspective drawings. We contrast this with the work of Termes. In addition, we provide an analysis of two methods for computing viewing distance between the artist and the sphere for existing drawings of spherical reflections. One method uses distances between vanishing points; the other is an estimate that requires knowing a single small measurement from the `real world'.