JA:提案されたルーフライン

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建物のレンダリングを改善する為に、ルーフラインをトレースすることができます。This could be used in 3D applications and isometric maps. この例は単なる木型であり、OSMデータベースには存在しないことに注意してください。しかし、建物の履歴はOSMからエクスポートされています[1].

Motivation

Reconstructing roof shapes from meta information and attributes can become extremely difficult. Roof type and orientation could be easily tagged but require an algorithm for guessing the position and alignment of roof ridges, edges and angles. It could work for very simple rectangular building shapes. But not for complex footprints imported from cadastre data. As an alternative, roof lines could be traced directly from imagery

Approach

屋根の線は、ウェイとノードとしてトレースし、建物に接続されます。ルーフラインには2つのタイプがあります。

  1. Ridges tagged as roof:ridge=yes. Ridges are strictly horizontal and the height is fixed by an additional attribute
  2. Edges connecting the ridges with the eaves tagged as roof:edge=yes. Although they could be guessed it is better to include them in order to create closed rings for easier processing.

Tips could be defined as nodes tagged as roof:apex=yes. They are connected to the rest using roof:edge as well.

The areas between eaves, edges and ridges are expected to be coplanar so that they can be easily polygonized. Some buildings have little jutties and ledges along the edge. In this case the intersection of the roof surface with the wall must be approximated so that the roof surface remains flat. Im my example the ledge in the middle of the building would be modeled by adding a flat top. Alternatively, the roof surface could continue downwards cutting away a part of the wall.

Possible rendering in 3D


高さの測定

建物の高さを推定するために使用できる2つのタグがあります。height=*building:levels=*です。

They measure the distance from ground to the roof top/ridge. What is missing is the height of the roof base. It can be either explicitly set by building:eaves:height=* or building:eaves:levels=*, or it can be calculated if other attributes are available, e.g. roof:height=* and roof:angle=*.

Deriving the roof base height from the ridge and the inclination of the roof surface (roof:angle=*) is possible, however this requires a very exact tracing of ridges and is error prone.

The Following combinations are possible:

building:levels=6, building:eaves:levels=4. 一つの階層の高さを3mだとすると、棟の高さが18m、屋根の土台の高さは12mになります。

building:levels=6, building:eaves:height=12. Mixture of metric value and levels. Also possible.

building:levels=6, roof:angle=30. Height of roof base depends on distance between ridge and eaves edges.

building:levels=6, roof:height=6. eaves:height = 6*3m - 6m = 12m.

height=18, building:eaves:levels=4. Mixture of metric value and levels. Also possible.

height=18, building:eaves:height=12. Exact measurements.

height=18, roof:angle=30. Height of eaves depends on distance between ridge and eaves edge.

height=18, roof:height=6. eaves:height = 18m - 6m = 12m.

building:eaves:levels=4, roof:height=6. height = 4*3m + 6m.

building:eaves:levels=4, roof:angle=30. height depends on distance between ridge and eaves edge.

building:eaves:height=12, roof:height=6. height = 12m + 6m.

building:eaves:height=12, roof:angle=30. height depends on distance between ridge and eaves edge.

Note that the result may be undefined if too many and conflicting attributes are present.

Using one the above tagging scheme and adding a few lines could work for the majority of small residential buildings. For more complex buildings with many ridges it is necessary to attach the exact height to the ways directly: roof:ridge=yes and building:ridge:height=*. If this attribute is present, it supersedes the attributes attached to the building. In the example on this page you can see one part on the right which is a bit lower than the main roof. Its ridge is tagged with a height value.

Building Relation

Roof structures must be connected to buildings using relations. Otherwise it would be difficult to detect, which ways tagged as roof lines belong to which building. The following table is based on the Relations/Proposed/Buildings proposal and on Multipolygon, which is often used for complex buildings.


Tags

Key Value Discussion
type building A relation that combines all node, ways, and other relations that belong to a single building.

Members

Way, Node, Area or Relation Role Recurrence? Discussion
エリア リレーション outline zero or more The building footprint that is used for 2D renderings. If building parts are present, the outline member shall not be used for building the 3D model.
ノード label zero or one This should be used to set the name of the building and to tag the whole building as a POI if desired. The idea behind this is, that this mark should tell the renderer where the name and maybe the symbol of the building should be displayed. That could be necessary if the building includes many details.

This single node could be used also to mark a building if the walls can not be drawn.

ノード エリア entrance zero or more Entrances into the building. Big entrances could be areas, but mostly a single node is enough. They might have to be individually tagged as to what kind of entrance they are. There are existing some proposals for entrances (examples:Proposed features/entrance, Tag:railway=subway entrance), so tag it as you like.

Also entrances can be used to tag different adresses of a building. See section "Postal Address Information" above.

ノード エリア リレーション contains zero or more This should be used for POIs inside a building. If you have detailed information of such POI (separate entrance, different address or something like that), you should better build a separate building relation for each POI and than put this relations as members in right here.
ノード リレーション address zero or more This should be used for nodes and relations, who were only tagged with address informations. See section "Postal Address Information" above.
エリア リレーション part one or more Building parts. These parts differ from each other in terms of height, roof-shape, colour, material, ... The part members may be closed ways tagged as building:part=yes or multipolygon relations.
ウェイ ridge zero or more Ways which make up the roof ridges of a building or building part.
ウェイ edge zero or more Ways which make up the roof edges of a building or building part.

Use and Limitations

This form of roof tracing could be accomplished with current OSM editors. Some nodes may overlap with existing ways like the tip node of a gable. A very small displacement could help. In general, vertical structures and overhanging structures cannot be captured with this approach. For example, overhanging roof parts at the eaves are not possible, but this is a very small detail. Also, modeling post modern skyscapers like this one [2] could be difficult and 2D views in editors could become cluttered. But this one [3] could be possible.

Tutorial on how to model roofs in JOSM

This sections is intended to provide some guidelines on how complex roof structures can be modeled using the popular JOSM editor. Although JOSM is designed as a 2D editor, it can be used to add roof details to building footprints, but it requires a good sense of spatial imagination. JOSM provides some tools such as arranging rings to form rectangular shapes and straighten lines, which are quite useful for our task. It also allows to switch between different image sources and detects whether high quality local imagery is available, making it easy to pick the besst possible source for tracing roof lines. In the following example I use the same building as above and focus on the lower left part. The structure of this building is quite complex. It featurese a hipped roof, many dormers, ledges, some portals with figures on them, varying roof heights, round staircases etc. Most problematic is that the height of the roof base or eaves is not consistent and that the roof stretches down to lower levels at the wings. A possible solution to fix this is to split the building into several parts so that the building:eaves:height tag could be assign accordingly. However, in this example, I use vertical roof structures to model facade parts that reach higher than the specified eaves height, so that the 2D rendering remains unaffected.

ステップ1:水平線をトレースする

ProposedRoofLines-JOSM-step0.png

First, trace the horizonal lines along the eaves and ridges. The outer eaves line is tagged as building and should already contain information on maximum roof height, roof type, architecture, facade and roof colors, etc. The topmost roof:ridge=yes line must contain a height value, measured from the bottom of the building (ground level). Insert an additional roof:ridge=yes line at the sharp kink between the lower and the upper part of the roof. Provide exact height values for all ridge lines (default unit is meters). Use the according JOSM tool to make these line rectangular, so that all angles are either 90 or 180 degrees.

ステップ2:遠近法の歪みを修正する

ProposedRoofLines-JOSM-step1.png

航空画像からトレースされたすべてのラインは、遠近法の歪みのために誤って配置されています。大きな建物では、垂直方向の端が角度が異なるのを見ることさえあります。 This is because aerial imagery is never exactly oblique, even if it has been rectified. For the sake of simplicity, we assume that at least the proportions of structures at the same height level are already correct. In our example, we assume that the roof is axis symmetric along the outer lines. Select all lines with the same height value and move them so that all distances betweem them and to the outer ring are equlized (a'=d', b'=c', e'=h', f'=g').

ProposedRoofLines-JOSM-step2.png

ステップ3: add vertical parts

ProposedRoofLines-JOSM-step3.png

The small side wing on the right side of the image has an additional full floor and the facade is higher. Thus the roof also starts at a higher level. The gap between the regular eaves and the bottom of the roof must be filled with a vertical roof part. Draw an additional line with 3 edges near the outer ring. This line represents the upper part of the vertical face. Assign the tag roof:ridge=yes to this line and add the correct height value. Then connect this line with nodes of the outer ring. Add tag roof:edge=yes to these connecting lines. Finally move each node so that the line lies exactly over the building eaves. Zoom in to get better precision.

ステップ4: add connecting roof lines

ProposedRoofLines-JOSM-step4.png

Now that we have all the horizontal lines, we must connect them in order to form polygons that can be rendered by 3D software. Add connecting edges between the ridge lines and the outer rings by connecting the nodes. Tag these lines as roof:edge=yes. Straighten lines using appropriate JOSM tools if necessary. Please note that the polygons that are formed in this way must be coplanar. For 3D rendering, the polygons must be triangulated, and if their vertices do not lie exactly on a plane, then this will be visible due to the slightly different surface angles between triangles. In order to avaoid such effects, try to avoid polygons with more than 4 nodes. Also try to make ridge lines parallel to each other.

ステップ5: add portal

ProposedRoofLines-JOSM-step5.png

There is a portal with a plat top at the left side of the building. First draw a ring represting the top edges and tag it as roof:ridge=yes and add the correct height value. You don't need to take care about the exact shape yet. Only the topology is important while drawing. Add the bottom edge as roof:ridge=yes and use the building eaves height as height value. Fill the vertical lateral parts by adding roof:edge=yes lines. Finally move the modes so that the top becomes rectangle and the left side is aligned with the outer ring of the building.

ステップ6: move roof to final position

ProposedRoofLines-JOSM-step7.png

Now that we have finished the roof, we must move it to the final position. So far we modeled at the roof base height, but the final building footprint must be at the location where the building touches the ground. Select everything and move it where it belongs.

落とし穴

ProposedRoofLines-crack2.png

Correctly placing dormers can be problematic because the position where the dormer touches the roof surface cannot be seen in a horizontal projection of a 3D model. It is advisable to know the height of the dormer and to tag it explicitly, instead of relying on some functions to derive it from the roof shape. Although the curve or line at the upper part between the dormer and the roof can be traced from the imagery, it is difficult to capture the the exact position on the 3D plane that defines the roof facet on which we want to place the dormer. Either the dormer penetrates the roof or a gap occurs. While the first case is unproblematic for 3D rendering, gaps should be avoided. However, they can only be detected in the final 3D rendering, because there is no tool for placing points on an inclined surface as of yet. In order to fix gaps, move the nodes at the upper part slightly inwards.

関連項目