Automated Generation of Dimensioned Rectangular Floorplans
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Date
2023
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Publisher
ARXIV
Abstract
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 prospective, this work can be seen as a re-generation
of well-known architectural plans with modified dimensions. At the end,
the regeneration of existing legacy RFPs (corresponding to the user defined
dimensions) has been demonstrated, taking their image as input.
Description
Keywords
Mathematics, Floorplanning, Rectangular Floorplan, Network Flow, Graph Theory