Ebook Free Download | An Introduction to Projective Geometry for computer vision | We are all familiar with Euclidean geometry and with the fact that it describes our three-dimensional world so well. In Euclidean geometry, the sides of objects have lengths, intersecting lines determine angles between them, and two lines are said to be parallel if they lie in the same plane and never meet. Moreover, these properties do not change when the Euclidean transformations (translation and rotation) are applied. Since Euclidean geometry describes our world so well, it is at rst tempting to think that it is the only type of geometry. (Indeed, the word geometry means measurement of the earth.”) However, when we consider the imaging process of a camera, it becomes clear that Euclidean geometry is insu cient: Lengths and angles are no longer preserved, and parallel lines may intersect.
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