These are the only books I have that deal with the subject of armatures in two-dimensional art:
Bouleau, Charles. The Painter's Secret Geometry: A Study of Composition in Art . New York: Hacker Art Books, 1980. See my footnote on the Conclusions page.
Elam, Kimberly. Geometry of Design: Studies in Proportion and Composition . New York: Princeton Architectural Press, 2011. See the Rabatment page.
There are many books on perspective and pictorial space. I have these:
Alberti, Leon Battista. On Painting. Translated by Cecil Grayson. London: Penguin Books, 2004.
Blatt, Sidney J., and E. S. Blatt. Continuity and Change in Art: The Development of Modes of Representation . Hillsdale, New Jersey: Lawrence Erlbaum Associates, 1984.
Edgerton, Samuel Y., Jr. The Heritage of Giotto's Geometry . Ithaca and London: Cornell University Press, 1991.
Edgerton, Samuel Y., Jr. The Renaissance Rediscovery of Linear Perspective . New York: Harper and Row, 1976.
Ivins, William M., Jr. Art & Geometry: A Study in Space Intuitions . New York: Dover, 2011.
Panofsky, Erwin. Perspective as Symbolic Form . Translated by Christopher S. Wood. New York: Zone Books, 1997.
I also have books on sacred geometry, which I won't bother to list.
As for journal articles on the geometry of two-dimensional art that aren't about perspective or Celtic design, I don't think I've ever found any.