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Triangulation Algorithms for Generating As-Is Floor Plans


Precisely capturing context is a fundamental first step in dealing with built environments. Previous research has demonstrated that existing methods for generating as-is floor plans of non-orthogonal rooms by non-expert users do not produce geometrically accurate results. The present paper proposes the adaptation of empirical triangulation methods, traditionally used by architects and other building professionals in surveying building interiors, to the development of semi-automated workflow of room survey. A set of triangulation algorithms that automate the plan drawing stage are presented.

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This work was supported by a merit scholarship granted by ISTA—Escola de Tecnologias e Arquitetura of ISCTE—Instituto Universitário de Lisboa for the development of the first author’s PhD thesis and by Fundação para a Ciência e a Tecnologia (FCT) projects UIDB/04466/2020 and UIDP/04466/2020. The authors would also like to express their gratitude to Editor Kim Williams for her meticulous editing and suggestions. All images are by the author.

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Correspondence to Filipe Jorge da Silva Brandão.

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da Silva Brandão, F.J., Paio, A. & Lopes, A. Triangulation Algorithms for Generating As-Is Floor Plans. Nexus Netw J 22, 683–700 (2020).

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  • Building renovation
  • As-is plans
  • Polygon partition
  • Triangulation algorithms
  • Computational geometry