determine surface area and uncertainty from points in a plane

calculates the surface area and its uncertainty from coord's x,y and their uncertainties ux, uy

calculates surface area A and its standard uncertainty uA for any arbitrary polygon in a plane given by coordinates x and y and their respective standard uncertainties ux and uy. The inputs are assumed to be VECTORS, x, ux, y and uy all should have the same size. The uncertainties are assumed to be uncorrelated.

Algorithm:

Michael Krystek
Physikalisch-Technische Bundesanstalt (PTB)
Bundesallee 100
38116 Braunschweig
Germany

published (in German):
M. Krystek, "Numerische Berechnung des Flächeninhaltes ebener geschlossener Konturen"
Technisches Messen 78 (2011) 2 pp96-103
DOI 10.1524/teme.2011.0059

Matlab version M. Anton, PTB