Visual localistion systems are used tich position of a device or object with in environmentat using visal data. Calculating thee position error is essential for assessing thee customacy and reliability of these systems. Thi article provides a step by- step guide te o calcacalcating position error in such systems.

Uzgodnienie tych komponentów

Te first step involves understang thee key confidents involved in visaal localization:

  • Xi1; Xi1; FLT: 0 Xi3; Xi3; Ground truth position: Xi1; Xi1; FLT: 1 Xi3; Xi3; The actual known position of the te device.
  • (zob. pkt 6.1.2.1)
  • Xi1; Xi1; FLT: 0 Xi3; Xi3; Visual data: Xi1; Xi1; FLT: 1 Xi3; Xi3; Images or video used for localization.

Obliczanie tej pozycji

Te position error is thee difference te between thee estimated position ante thee ground truth position. It can be calculated using thee Euclideun distance formula:

(x Xi1; FLT: 1; FLT: 0; FLT: 2; FL3; FLT: 3; FLT: 3; FL3; FLT: 1; FLT: 1; FL1; FLT: 2; FL3; FLT: 1; FLT: 3; FL3; G XI3; FLT: 1; FLT: 4; FLT: 3; FLT: 3; FLT: 3; FLT: 5; FLT: 3; FLT: 6; FLT: 3; FLT: 9; FLT: 3; FLT: 7; FLT: 3; G X3; FLT: 1; FLT: 1; FLT: 8; 3Q3QL; FLD) ² (z VIF; 1; FLT: 3; FLT: 3; FLT: 1; FLT: 1; FLT: 1; FLT: 1; FLT; FLT: 1; F@@

Etap - by- Stopień obliczenia

Follow these steps to compute thee position error:

  • Identyfikator ten jest koordynatem (x Xi1; Xi1; FLT: 0 XI3; XI3; g XI1; XI1; FLT: 1 XI3; XI3;, y XI1; XI1; FLT: 2 XI3; GI3; GI1; FLT: 3 XI3; XI3;, z XI1; XI1; FLT: 4 XI3; XI3; G XI1; FLT: 5 XI3; XIX3;).
  • Obtain thee estimated coordinates (x presendi1; extendi1; FLT: 0 presendi3; extendi3; e presendi1; FLT: 1 presendi3; y presendi1; FLT: 2 presendi3; extendi3; e presenti1; FLT: 3 presenti3; extendi3;, z presenti1; FLT: 4 presential 3; e presential 1; extential 1; FLT: 5 presenti3;).
  • Obliczenia te różnią się od siebie: Δx = x each axis: Δ1; Xi1; FLT: 0 + 3; Xi3; e Xi1; FLT: 1 + 3; Xi3; - x Xi1; Xi1; FLT: 2 + 3; XI3; XI1; FLT: 3 + 3; XI3;, Δy = y; XI1; FLT: 4 + 3; XI3; e XI1; XI1; FLT: 5 + 3; XI3; - y + 1; XIXI1; FLT: 6 + 3; GIX3; GIX1; XIXIX1; FLT: 7 + 3; XIXIX3; 3; Δz; XIX1; FLT: 3; VE; 1; XIXIX3; FLT: 3; 3; FLT: 3; X3; FLT: 1; FLT: 1; FLT: 1; FLT: 1; FLT: 3X@@
  • Porównaj te Euclideun distance using the formula provided above.

Badanie Calculation

Pomoce thee ground truth position is (2, 3, 1) and thee estimated position is (4, 5, 2). The differences are Δx = 2, Δy = 2, Δz = 1. The position error is:

1a (2 ² + 2 ² + 1 ²) = 1a (4 + 4 + 1) = 2a 9 = 3