# Automated Generation of Dimensioned Rectangular Floorplans

arXiv: https://arxiv.org/abs/1910.00081 · HTML: https://mlsanity.com/paper/1910.00081/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 30 Sep 2019.

## Built on by (most cited first, 2 of 2)

- [Ethics of Artificial Intelligence and Robotics in the Architecture, Engineering, and Construction Industry](https://mlsanity.com/paper/2310.05414/) (2023)
- [Generating floorplans for various building functionalities via latent diffusion model](https://mlsanity.com/paper/2412.06859/) (2024)

## Abstract (arXiv)

This paper proposes a methodology for the automated construction of rectangular floorplans (RFPs) while addressing dimensional constraints and adjacency relations. Here, adjacency relations are taken in the form of a dimensionless rectangular arrangement (RA) ensuring the existence of a RFP, while dimensional constraints are given in terms of minimum width and aspect ratio range for each room. A linear optimization model is then presented to obtain a feasible dimensioned RFP for user-defined constraints. A GUI is also developed for the automated generation of RFPs. The proposed model is able to generate feasible solutions for every possible RA in a reasonable amount of time. From the architectural perspective, this work can be seen as a re-generation of well-known architectural plans with modified dimensions. In the end, the regeneration of existing legacy RFPs (corresponding to the user-defined dimensions) has been demonstrated, taking their image as input.