The Geometry of Projective Reconstruction I: Matching Constraints and the Joint Image

作者: Bill Triggs

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摘要: This paper studies the geometry of perspective projection into multiple images and matching constraints that this induces between images. The combined projections produce a 3D subspace space image coordinates called joint image. is complete projective replica world defined entirely in terms coordinates, up to an arbitrary choice certain scale factors. Projective reconstruction canonical process requiring only rescaling coordinates. tell whether set points single point. In there are three types constraint: fundamental matrix, Shashua's trilinear tensor, new quadrilinear 4 tensor. All these fit geometric object, Grassmannian encodes exactly information needed for reconstruction: location

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