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...Projective geometry a short introduction lecture notes edmond boyer master mosig to contents objective historical background bibliography spaces denitions properties the hyperplane at innity line transformation of p cross ratio plane points and lines homographies conics ane transformations euclidean particular hierarchy grenoble universities chapter this course is give basic notions intuitions on interest arises in several visual comput ing domains computer vision modelling graphics it provides mathematical formalism describe cameras associated hence enabling design computational ap proaches that manipulates d projections objects respect fundamental aspect fact can be represented manipulated with contrast allows perspective deformations as figure example deformation or transforma tion anotherargumentisthateuclideangeometryissometimesdiculttousein algorithms cases arising from non generic situations e g two parallel never intersect must identied generalizes always see also represent any...