Projective Collineations in Perspective Art
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In this paper, we show that any projective collineation is equivalent to the composition of four perspective collineations. In addition, we give our equivalence an interpretation from perspective art. A projective collineation is a bijection from one pro- jective space (whose elements are points and lines) back to itself that sends points to points and lines to lines and that preserves incidences. A perspective collineation is a projective collineation that is perspective from a point and perspective from a line. Our proof uses Desarguesnull Theorem and the Fundamental Theorem of Projective Geometry to construct a series of perspective collineations.
Franklin and Marshall College Archives, Undergraduate Honors Thesis 2012
- F&M Theses Collection