Bridging a Culture: The Design of Museo Soumaya

Romero, Fernando Romero; Ramos, Armando

doi:10.1002/ad.1556

Cited by 5 publications

(2 citation statements)

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“…PH meshes are in general more constrained than PQ meshes, as they, for example, require non-convex faces to create a watertight cover of a surface with negative Gaussian curvature . While purely convex hexagonal faces have been used for architectural structures [De Leon 2012;Romero and Ramos 2013], the resulting facade is not watertight. One approach for hexagonal meshing is using the duality with triangular meshes, either by triangulating the Gauss map [Almegaard et al 2007], or by tangent plane intersections [Troche 2008[Troche , 2009Zimmer et al 2012].…”

Section: Related Workmentioning

confidence: 99%

Ph-CPF

et al. 2021

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We present a new approach for computing planar hexagonal meshes that approximate a given surface, represented as a triangle mesh. Our method is based on two novel technical contributions. First, we introduce Coordinate Power Fields, which are a pair of tangent vector fields on the surface that fulfill a certain continuity constraint. We prove that the fulfillment of this constraint guarantees the existence of a seamless parameterization with quantized rotational jumps, which we then use to regularly remesh the surface. We additionally propose an optimization framework for finding Coordinate Power Fields, which also fulfill additional constraints, such as alignment, sizing and bijectivity. Second, we build upon this framework to address a challenging meshing problem: planar hexagonal meshing. To this end, we suggest a combination of conjugacy, scaling and alignment constraints, which together lead to planarizable hexagons. We demonstrate our approach on a variety of surfaces, automatically generating planar hexagonal meshes on complicated meshes, which were not achievable with existing methods. CCS Concepts: • Computing methodologies → Mesh geometry models.

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Section: Related Workmentioning

confidence: 99%

Ph-CPF

et al. 2021

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“…Furthermore, the intention is to be able to drive production geometries and information to the fullest extent possible, as opposed to the common practice of handing over design geometry to production specialists for shop drawings and post-rationalisation (Romero & Ramos, 2013, Sanchez-Alvarez, 2010, Peña de Leon, 2012.…”

Section: Data-structures For Design Productionmentioning

confidence: 99%