Abstract
We introduce a 3 × 3 × 3 tensor H ijk and its dual H ijk which represent the 2D projective mapping of points across three projections (views). The tensor H ijk is a generalization of the well known 2D collineation matrix (homography matrix) and it concatenates two homography matrices to represent the joint mapping across three views. The dual tensor H ijk concatenates two dual homography matrices (mappings of line space) and is responsible for representing the mapping associated with moving points along straight-line paths, i.e., H ijk can be recovered from line-of-sight measurements only.
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© 2000 Springer-Verlag Berlin Heidelberg
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Shashua, A., Wolf, L. (2000). Homography Tensors: On Algebraic Entities That Represent Three Views of Static or Moving Planar Points. In: Computer Vision - ECCV 2000. ECCV 2000. Lecture Notes in Computer Science, vol 1842. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45054-8_33
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DOI: https://doi.org/10.1007/3-540-45054-8_33
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