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Geometric Computer Vision: Difference between revisions
→Only Translation
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The all eminate from the focus of expansion. | The all eminate from the focus of expansion. | ||
If you walk towards a point in the image, then all pixels will flow away from that point. | If you walk towards a point in the image, then all pixels will flow away from that point. | ||
===Only Rotation=== | |||
Rotation around x axis: | |||
<math>x = \alpha x y - \beta (1 + x^2) - \gamma y</math> | |||
Rotation around y or z axis leads to hyperbolas. | |||
The rotation is independent of depth. | |||
===Both translation and rotation=== | |||
The flow field will not resemble any of the above patterns. | |||
===The velocity of p=== | |||
===Moving plane=== | |||
For a point on a plane p and a normal vector n, the set of all points on the plane is <math>{x | (x \cdot n) = d\}</math> where <math>d=(p \cdot n)</math> is the distance to the plane from the origin along the normal vector. . | |||
==Projects== | ==Projects== | ||