3D building modeling systems
Described herein is a process and system for constructing three-dimensional (3D) representations of buildings. The 3D representations of buildings are semantic models that include roof nodes, roof edges, as well as roof faces with associated properties (e.g., pitch, azimuth). The system receives a 2D representation such as a roof outline including nodes connected by edges and associated data such as a height value, a pitch value, an independent structure, or a dependent structure. The system determines height values where a building structure changes. The system propagates a wavefront representing a cross-section of the building to the height values to generate 3D model edges. The 3D representation is generated based on the 3D model edges. The system can create 3D representations of buildings including roof structures of arbitrary complexity and can create representations of dependent roof structures such as dormers.
1. A method comprising:
receiving a roof perimeter, the perimeter including a set of nodes and edges, at least one edge associated with a pitch, the perimeter representing an outline of the roof;
modeling a wavefront from the perimeter, the wavefront at a first height being a first polygon corresponding to a first horizontal cross-section of the roof; and
propagating the wavefront vertically in a parallel manner, next wavefronts at increasing heights being other polygons corresponding to other horizontal cross-sections of the roof, at least one wavefront edge propagating from the first height to at least one of the increasing heights at a speed corresponding to the pitch.
2. The method of claim 1 , further comprising:
constructing a three-dimensional (3D) model of the roof from at least the first horizontal cross-section and one or more of the other horizontal cross-sections, at least a first 3D model edge generated from connecting a first node of the wavefront at the first height and one or more other nodes of one of more next wavefronts at one or more increasing heights.
3. The method of claim 2 , wherein the 3D model constructed comprising the first 3D model edge and a second 3D model edge, the first and second 3D model edges connect in the 3D model at a point where the wavefront is self-intersecting.
4. The method of claim 1 , further comprising:
determining a height value at an intersection point between the wavefront edge and a pitch change point.
5. The method of claim 1 , further comprising:
determining a direction of propagation of the wavefront edge according to a pitch value associated with a perimeter edge.
6. The method of claim 1 , further comprising:
parametrizing a dependent structure of the roof in the first horizontal cross-section.
7. The method of claim 1 , wherein the wavefront is a first wavefront, the first horizontal cross-section of the roof corresponding to the first polygon is a partial cross- section of the roof, and the method further comprises:
modeling at least a second wavefront from the perimeter; and
propagating at least the second wavefront vertically in parallel along with the first wavefront.
8. A non-transitory computer readable medium for storing instructions, the instructions, when executed by one or more processors, cause the one or more processors to perform steps comprising:
receiving a roof perimeter, the perimeter including a set of nodes and edges, at least one edge associated with a pitch, the perimeter representing an outline of the roof;
modeling a wavefront from the perimeter, the wavefront at a first height being a first polygon corresponding to a first horizontal cross-section of the roof; and
propagating the wavefront vertically in a parallel manner, next wavefronts at increasing heights being other polygons corresponding to other horizontal cross-sections of the roof, at least one wavefront edge propagating from the first height to at least one of the increasing heights at a speed corresponding to the pitch.
9. The non-transitory computer readable medium of claim 8 , wherein the steps further comprise:
constructing a three-dimensional (3D) model of the roof from at least the first horizontal cross-section and one or more of the other horizontal cross-sections, at least a first 3D model edge generated from connecting a first node of the wavefront at the first height and one or more other nodes of one of more next wavefronts at one or more increasing heights.
10. The non-transitory computer readable medium of claim 9 , wherein the 3D model constructed comprising the first 3D model edge and a second 3D model edge, the first and second 3D model edges connect in the 3D model at a point where the wavefront is self-intersecting.
11. The non-transitory computer readable medium of claim 8 , wherein the steps further comprise:
determining a height value at an intersection point between the wavefront edge and a pitch change point.
12. The non-transitory computer readable medium of claim 8 , wherein the steps further comprise:
determining a direction of propagation of the wavefront edge according to a pitch value associated with a perimeter edge.
13. The non-transitory computer readable medium of claim 8 , wherein the steps further comprise:
parametrizing a dependent structure of the roof in the first horizontal cross-section.
14. The non-transitory computer readable medium of claim 8 , wherein the wavefront is a first wavefront, the first horizontal cross-section of the roof corresponding to the first polygon is a partial cross-section of the roof, and the steps further comprise:
modeling at least a second wavefront from the perimeter; and
propagating at least the second wavefront vertically in parallel along with the first wavefront.
15. A system comprising:
one or more processors; and
memory storing instructions, the instructions, when executed by the one or more processors, cause the one or more processors to perform steps comprising:
receiving a roof perimeter, the perimeter including a set of nodes and edges, at least one edge associated with a pitch, the perimeter representing an outline of the roof;
modeling a wavefront from the perimeter, the wavefront at a first height being a first polygon corresponding to a first horizontal cross-section of the roof; and
propagating the wavefront vertically in a parallel manner, next wavefronts at increasing heights being other polygons corresponding to other horizontal cross-sections of the roof, at least one wavefront edge propagating from the first height to at least one of the increasing heights at a speed corresponding to the pitch.
16. The system of claim 15 , wherein the steps further comprise:
constructing a three-dimensional (3D) model of the roof from at least the first horizontal cross-section and one or more of the other horizontal cross-sections, at least a first 3D model edge generated from connecting a first node of the wavefront at the first height and one or more other nodes of one of more next wavefronts at one or more increasing heights.
17. The system of claim 16 , wherein the 3D model constructed comprising the first 3D model edge and a second 3D model edge, the first and second model edges connect in the 3D model at a point where the wavefront is self-intersecting.
18. The system of claim 15 , wherein the steps further comprise:
determining a height value at an intersection point between the wavefront edge and a pitch change point.
19. The system of claim 15 , wherein the steps further comprise:
determining a direction of propagation of the wavefront edge according to a pitch value associated with a perimeter edge.
20. The system of claim 15 , wherein the wavefront is a first wavefront, the first horizontal cross-section of the roof corresponding to the first polygon is a partial cross- section of the roof, and the steps further comprise:
modeling at least a second wavefront from the perimeter; and propagating at least the second wavefront vertically in parallel along with the first wavefront.