  For decades, it has been widely accepted that the gold standard for two-view
triangulation is to minimize the cost based on reprojection errors. In this
work, we challenge this idea. We propose a novel alternative to the classic
midpoint method that leads to significantly lower 2D errors and parallax
errors. It provides a numerically stable closed-form solution based solely on a
pair of backprojected rays. Since our solution is rotationally invariant, it
can also be applied for fisheye and omnidirectional cameras. We show that for
small parallax angles, our method outperforms the state-of-the-art in terms of
combined 2D, 3D and parallax accuracy, while achieving comparable speed.
