width of public domain

Contents: The road segments from the road register with the estimated value of the width of the public, calculated on the basis of the area of the underlying WBN layer from GRB. The UIDN of this GRB-WBN layer is also openomen. Purpose: To give the users an indicative value over the estimated width of the public domain: roadway, verge and foot and cycle paths. Creation: The surface and perimeter of the GRB-WBN layer is used as an indicator value to estimate the width of the public domain at that location. Crossroads zones are not used, because of an overly coplexed shape. The formula used was: width = 0.25 x (length - 0.25) x √(length x (length -16) x area ) This is based on the following assumptions: We go on to say that the archetypal intuition of a polygon with a clear "width" is a small buffer (say of radius r with square ends) around a long, fairly straight polyline (say of length L). We think of 2r = w as its width. So: The circumference P is approximately equal to 2L + 2w; The area A is approximately equal to w L. The width w and length L can then be recovered as roots of the quadratic x^2 - (P/2) x + A; In particular, we can estimate w = (P - Sqrt (P^2 - 16A)) / 4. If you are sure that the polygon is really long and thin, you can take 2L + 2w as a further approximation to be equal to 2L, from where w (coarse) = 2A/P. The relative error in this approximation is proportional to w/L : the thinner the polygon, the closer w/L is to zero and the better the approximation becomes. This approach is not only extremely simple (divide the area by the perimeter and multiply by 2), with both formulas it does not matter how the polygon is oriented or where it is located (because such Euclidean movements neither the area nor the perimeter).