Geometric Computer Vision: Difference between revisions

Geometric Computer Vision (view source)

568 bytes added , 11 March 2021

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 ==3D Reconstruction==
+===Triangulation===
+If cameras are intrinsically and extrinsically calibrated, then P is the midpoint of the common perpendicular.
+===Point reconstruction===
+Given a point X in R3
+* <math>x=MX</math> is the point in image 1
+* <math>x'=M'X</math> is the point in image 2
+<math>
+M = \begin{bmatrix}
+m_1^T \\ m_2^T \\ m_3^T
+\end{bmatrix}
+</math>
+<math>x \times MX = 0</math>
+<math>x \times M'X = 0</math>
+implies
+<math>AX=0</math> where <math>A = \begin{bmatrix}
+x m_3^T - m_1^T\\
+y m_3^T - m_2^T\\
+x' m_3'^T - m_1'^T\\
+y' m_3'^T - m_2'^T\\
+\end{bmatrix}</math>
 ==Projects==