Research Article

Closed-Form Distance Estimators under Kalman Filtering Framework with Application to Object Tracking

Table 2

MMSE estimators for distance in the Cartesian coordinates.

Definition of distanceMMSE distance estimatorEquation

Absolute value (8)

Absolute value of linear form (9) and (10)

Distance between two points on 1-D line (11)

Distance between point and line in 2-D plane (12)–(14)

Distance between point and plane in 3-D space (15)–(17)