Projective Space
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High Quality Content by WIKIPEDIA articles! In mathematics a projective space is a set of elements similar to the set P(V) of lines through the origin of a vector space V. The cases when V=R2 or V=R3 are the projective line and the projective plane, respectively. The idea of a projective space relates to perspective, more precisely to the way an eye or a camera projects a 3D scene to a 2D image. All points which lie on a projection line (i.e. a "line-of-sight"), intersecting with the focal point of the camera, are projected onto a common image point. In this case the vector space is R3 with…mehr

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High Quality Content by WIKIPEDIA articles! In mathematics a projective space is a set of elements similar to the set P(V) of lines through the origin of a vector space V. The cases when V=R2 or V=R3 are the projective line and the projective plane, respectively. The idea of a projective space relates to perspective, more precisely to the way an eye or a camera projects a 3D scene to a 2D image. All points which lie on a projection line (i.e. a "line-of-sight"), intersecting with the focal point of the camera, are projected onto a common image point. In this case the vector space is R3 with the camera focal point at the origin and the projective space corresponds to the image points.