Geodesic
Perception of Space in Painting
During the history, perception of space in painting is changed from one- and two-dimensional geometric patterns, that dominate in Paleolithic and Neolithic art, through "hierarchical perspective" and orthogonal axonometry used in Egyptian painting, Byzantine counter-perspective, Renaissance linear perspective, cubistic polycentrism, perceptive perspective, to the non-orientable space of abstract painting. Trying to explain 3D-vision as the reconstruction of 3D-image from its 2D-projection, that is in general not unique, we will consider different extreme forms of perspective (e.g., anamorphoses), or the formation of ambiguous reconstructions of 2D-projections resulting in visual illusions and impossible figures.
Classification : 01A05, 01A10, 51A03
Keywords: perception, space, perspective, visual illusions, impossible figures 
@article{VM_2014_16_2_a2,
     author = {Slavik Jablan and Ljiljana Radovi\'c},
     title = {Perception of {Space} in {Painting}},
     journal = {Visual Mathematics},
     publisher = {mathdoc},
     volume = {16},
     number = {2},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VM_2014_16_2_a2/}
}
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Slavik Jablan; Ljiljana Radović. Perception of Space in Painting. Visual Mathematics, Tome 16 (2014) no. 2. http://geodesic.mathdoc.fr/item/VM_2014_16_2_a2/