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- W2057695079 abstract "Abstract A computational formalism is given to computer vision problems involving collinearity and concurrency of points and lines on a 2-D plane from the viewpoint of projective geometry. The image plane is regarded as a 2-D projective space, and points and lines are represented by unit vectors consiting of homogeneous coordinates, called N-vectors. Fundamental notions of projective geometry such as collineations, correlations, polarities, poles, polars, and conis are reformulated as “computational” processes in terms of N-vectors. They are also given 3-D interpretations by regarding 2-D images as perspective projection of 3-D scenes. This N-vector formalism is further extended to infer 3-D translational motions from 2-D motion images. Stereo is also viewed as a special type of translational motion. Three computer vision applications are briefly discussed—interpretation of a rectangle, interpretation of a road, and interpretation of planar surface motion." @default.
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- W2057695079 date "1991-11-01" @default.
- W2057695079 modified "2023-09-26" @default.
- W2057695079 title "Computational projective geometry" @default.
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- W2057695079 doi "https://doi.org/10.1016/1049-9660(91)90034-m" @default.
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