3D Roof Model Reconstruction from 2D Spatial Graphs
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Solution Overview
Problem
Current methods for estimating three-dimensional building structures from two-dimensional spatial graphs, such as those derived from satellite imagery, fail to accurately represent the three-dimensional structure of buildings, limiting their application in remote analysis and design, particularly in shading analysis for solar installations.
Innovation Solution
The method involves processing a two-dimensional spatial graph of a building's roof, which is projected onto the ground, to recreate a three-dimensional model by classifying edges and calculating node heights based on edge types, using user-defined or algorithm-generated graphs, and applying rules to determine edge types and reconstruct the three-dimensional structure.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If current methods are used to estimate three-dimensional building structures from two-dimensional spatial graphs, then the process is simple and quick, but the accuracy and completeness of the three-dimensional representation is insufficient
Solution Approach 1:
The method segments the roof structure into discrete graph elements (nodes and edges) that can be individually processed. Each edge is classified into specific types (ridge, eave, hip, valley, etc.) and assigned height values independently, allowing systematic reconstruction of the three-dimensional structure while maintaining manageable complexity
Solution Approach 2:
The invention transforms the two-dimensional spatial graph into a three-dimensional model by assigning height values to nodes based on edge type classification. This dimensional transformation enables accurate representation of roof structures while preserving the simplicity of the original two-dimensional input data
2Adaptability or versatility
If detailed three-dimensional models are constructed, then shading analysis and solar installation design are enabled, but the processing time and computational resources increase
Solution Approach 1:
The method performs preliminary classification of edges and assignment of height values during the model construction phase, creating a ready-to-use three-dimensional representation that can be immediately applied to shading analysis and solar installation design without requiring additional processing time
Solution Approach 2:
The invention creates a simplified three-dimensional model that copies the essential geometric features of the roof structure from the two-dimensional graph. This copied model retains sufficient accuracy for shading analysis while requiring minimal computational resources compared to creating full-scale detailed models
Data Source
AI summary
Systems and methods construct three-dimensional models of building structures with roofs by exploiting properties of the projection of a three-dimensional building structure onto the ground. This projection is a two-dimensional spatial graph, which can be constructed for example by a user or by an image recognition algorithm. The spatial graph is processed to recreate a three-dimensional model of the building structure.