width of public domain

Width_public_domain SSO Content: The road segments from Wegenregister with added 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 open. Purpose: To give users an indicative value over the estimated width of the public domain: roadway, roadside and foot and cycle paths. Production: The surface and circumference of the GRB-WBN layer is used as an indicator value to estimate the width of the public domain at that location. Intersection zones are not used, due to a too coplexic form. The formula used was: width = 0.25 x (length — 0.25) x v(length x (length -16) x surface area) This is based on the following assumptions: We go 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 as a further approach 2L + 2w to be equal to 2L, from where W (gross) = 2A/P. The relative error in this approach is proportional to w/L: the thinner the polygon, the closer w/L is to zero and the better the approach becomes. This approach is not only extremely simple (divide the area by the circumference and multiplied 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). &Creation Date: 2019-11-14T00:00:00 &Publication date: 2019-11-19T00:00:00 & Revision Date: 2019-11-12T00:00:00  Update frequency: if necessary & Management: GIS Antwerp &Contact: [email protected]