An Introduction to Projective Geometry for computer vision
نویسنده
چکیده
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 inter secting 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 geome try 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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