Concept
Jacobian — where it appears
2 essays name this object, across one field. What follows is each of them, and the objects they name alongside it.
The track and the scene together
Six photographs go in and one hundred and sixty-eight numbers come out — every camera's position and orientation and every point's place in space, solved for at once. Nothing in the solve was ever told where a camera or a point was.
Seven numbers no picture can name
Shift a whole reconstruction by a metre and a half, turn it half a radian, scale it by 2.7, and every photograph of it stays where it was to a hundredth of a billionth of a pixel. Move one point by fifty millimetres and they move by two thirds of a pixel.
Named alongside it
The objects these essays reach for when they reach for this one.
bundle adjustmentgauge freedomSimilaritycamera trackreconstruction ambiguityReprojection errorsingular valuesstructure from motionTriangulation