TOPOLOGICAL
GRAPHS IN
ARCHITECTURE
preliminaries
contribution
outcome
conclusion
PRELIMINARIES
graph theory
topology
space syntax
space partitioning
GRAPH THEORY
Nodes
Edges
Graph
GRAPH THEORY
Taj Mahal
La Rotonda
Villa Savoye
Taj Mahal
La Rotonda
Villa Savoye
Taj Mahal
La Rotonda
Villa Savoye
GRAPH THEORY
Degree
Betweenness
Closeness
GRAPH THEORY
Shortest Path
Spanning Tree
Visibility Graph
TOPOLOGY
SPACE SYNTAX
Axial Map
Convex Space
Isovist
SPACE PARTITIONING
Subdivision
SPACE PARTITIONING
Aggregation
CONTRIBUTION
dataset generation
machine learning
Design for Manufacturing Principle
GENERATION PIPELINE
Input
Binary Tree
Outline
SPACE PARTITIONING
Input
Binary Tree
Outline
Iteration 1
Iteration 2
Iteration 3
POST-PROCESSING
2D Layout
Extrusion
Window Placement
POST-PROCESSING
Connectivity Graph
MST
Door Placement
ARCHITECTURAL RULES
Low Ratio
Sharp Angle
Good Layout
ENERGY SIMULATION
GRAPH-RETRIEVAL
BIM Model
Topologic Graph
MACHINE LEARNING
Classification
Regression
Classification
Regression
Classification
Regression
GRAPH NEURAL NETWORKS
OUTCOME
Dataset
Dataset
Dataset
DGCNN Regressor
DGCNN Classifier
Classification
Regression
CONCLUSION
Graphs and Topology in Architecture
Kreuzberg
Axial Graph
Length
Centrality
La Rotonda
Topological Graph
Degree
Depth
Design Feedback through Machine Learning
Synthetic Architecture Datasets
Professor of Architecture
Wassim Jabi