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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Oriented projective geometry is an oriented version of real projective geometry.Whereas the real projective plane describes the set of all unoriented lines through the origin in R3, the oriented projective plane describes lines with a given orientation. There are applications in computer graphics and computer vision where it is necessary to distinguish between rays light being emitted or absorbed by a point. Elements in an oriented projective space are defined using signed homogeneous coordinates.