Straight Skeleton Roof

Often it causes an acute angle shape that is not appropriate for roof boards.

Straight skeleton roof.

Strictly the skeleton is a 2d construction however here i regard as a 3d roof given the floorplan of a house the skeleton is the gutters and crest lines of a roof when viewed from above 4 figure below. Contours by straight skeleton computation for placing doors windows fences and shop façades which are setback from the original building polygon. The straight skeleton of a polygonal roof directly gives the layout of each tent. Note that the input does not only consist of simple polygons.

If each skeleton edge is lifted from the plane a height equal to its offset distance the resulting roof is correct in that water will always fall down to the contour edges roof border regardless of were. The roof induced by an additively weighted straight skeleton is defined similarly to its unweighted pendant as r p δ t 0 w p δ t t. As a new generalization of straight skeletons helda et al. In geometry a straight skeleton is a method of representing a polygon by a topological skeleton.

Unique for a given input polygon. 5 rectify the shape of the polygons so that there are no gaps or overlaps between geometric primitives such as rectangles. In the computation process usually three edges propagate into a node. A roof model generated by stalgo using the straight skeleton of the polygon formed by the walls.

Then the straight skeleton faces are convex. Calculates the isolines of a mesh with respect to the 3d cursor which acts as pivot and defines the orientation of the slice planes. Calculates the roof model of the straight skeleton form the selected polygon. The generation is implemented through straight skeleton computation in which three events edge and split vertex events were proposed.

Unlike the roof induced by an unweighted straight skeleton it is clearly no longer strictly z monotone since wavefront edges may stay on the same supporting line during the propagation. The rendering was done in blender. An additively weighted straight skeleton is the result of a wavefront propagation process where. It is similar in some ways to the medial axis but differs in that the skeleton is composed of straight line segments while the medial axis of a polygon may involve parabolic.

It works similar to the loop cut tool. By theorem 24 the straight skeleton faces are not just monotone but in fact convex. Let p be a strictly convex polygon and let σ be an assignment of arbitrary weights to its edges. Some offset curves of the left dataset.

4 form the straight skeleton for the general shaped roof. The shrinking process the straight skeleton blue and the roof model. Hel17 introduce additively weighted straight skeletons. A tribute to the linux operating system.

Select exactly one face or poly spline while in edit mode. Some properties of the skeleton include. Another usage perhaps its very first is roof design.