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 distance | MMSE distance estimator | Equation |
| 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) |
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