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Multiple View Geometry In Computer Vision Math 607 - page 36 / 37

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Overview transformations

Projective

8dof

Affine

6dof

Similarity

4dof

Euclidean

3dof

Concurrency, collinearity, order of contact (intersection, tangency, inflection, etc.), cross ratio

Parallellism, ratio of areas, ratio of lengths on parallel lines (e.g midpoints), linear combinations of vectors (centroids).

The line at infinity l

Ratios of lengths, angles.

The circular points I,J

lengths, areas.

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