Essential Matrix: Difference between revisions

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[[File: Epipolar_geometry.svg | link=Wikipedia | thumb | 400px | [[Wikipedia: Epipolar Geometriy]] ]]
[[File: Epipolar_geometry.svg | link=Wikipedia | thumb | 400px | [[Wikipedia: Epipolar Geometriy]] ]]
Much of this section is from <ref name="hartley">[http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.64.7518 An Investigation of the Essential Matrix] by Richard Hartley</ref>


A pinhole camera with <math>3 \times 4</math> projection matrix <math>P = K(R | -RT)</math> takes points <math>\mathbf{x} = (x, y, z)^T</math> and projects them to <math>\mathbf{u} = (u, v, w)^T = \mathbf{R}(\mathbf{x} - \mathbf{t})</math>.
A pinhole camera with <math>3 \times 4</math> projection matrix <math>P = K(R | -RT)</math> takes points <math>\mathbf{x} = (x, y, z)^T</math> and projects them to <math>\mathbf{u} = (u, v, w)^T = \mathbf{R}(\mathbf{x} - \mathbf{t})</math>.