Motion Vision: Design of Compact Motion Sensing Solutions for Autonomous Systems Navigation

Camera
| Symbol | Description |
|---|---|
| ? | Camera pixel pitch (metres). |
| ? eff | Effective pixel pitch taking dynamic scale into account (metres). |
| (x r, y r) | Image resolution 512 32 pixels. |
| f | Camera focal length (metres). |
| F | Frame interval (seconds). Equal to 1/FPS. |
Image formation
| Symbol | Description |
|---|---|
| ( ? x, ? y, ? t) | Spatiotemporal frequency of I( x, y, t). |
| C( x, y, t) | Additive component of spatiotemporal brightness offset field. |
| I( x, y, t) | True spatiotemporal intensity function on the camera sensor surface. |
| I( x, y, t) | Spatiotemporal intensity function measured by the camera sensor. |
| I x, I y, I t | Measured spatiotemporal partial derivatives of the intensity function. |
| Level | Level in the image pyramid, with the original image labelled level 0. |
| M( x, y, t) | Multiplicative component of spatiotemporal brightness offset field. |
Coordinate systems and positions
| Symbol | Description |
|---|---|
| ( x, y) | Image sensor coordinate system, measured in pixels. |
| (x, y) | Image sensor coordinate system. Measured in metres with origin at the intersection of optical axis and image plane. |
| (X, Y, Z) | Camera centred world coordinate system. Defined with origin at the focal point, the XY plane parallel to the xy plane and the Z axis coinciding with the optical axis (metres). |
| Z X, Z Y, Z Z | Depth derivatives. |
| p = ( p x, p y) | A point... |