Discrete CMC surfaces for doubly-curved building envelopes - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2018

Discrete CMC surfaces for doubly-curved building envelopes

Xavier Tellier
Cyril Douthe
Olivier Baverel
  • Fonction : Auteur
  • PersonId : 1031556

Résumé

Constant mean curvature surfaces (CMCs) have many interesting properties for use as a form for doubly curved structural envelopes. The discretization of these surfaces has been a focus of research amongst the discrete differential geometry community. Many of the proposed discretizations have remarkable properties for envelope rationalization purposes. However, little attention has been paid to generation methods intended for designers. This paper proposes an extension to CMCs of the method developed by Bobenko, Hoffmann and Springborn (2006) to generate minimal S-isothermic nets. The method takes as input a CMC (smooth or finely triangulated), remeshes its Gauss map with quadrangular faces, and rebuilds a CMC mesh via a parallel transformation. The resulting mesh is S-CMC, a geometric structure discovered by Hoffmann (2010). This type of mesh have planar quads and offset properties, which are of particular interest in the fabrication of gridshells.
Fichier principal
Vignette du fichier
Tellier et al 2018_Discrete CMC surfaces for douby-curved building envelopes.pdf (2.39 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-01984201 , version 1 (16-01-2019)

Identifiants

  • HAL Id : hal-01984201 , version 1

Citer

Xavier Tellier, Laurent Hauswirth, Cyril Douthe, Olivier Baverel. Discrete CMC surfaces for doubly-curved building envelopes. Advances in Architectural Geometry, Sep 2018, Göteborg, Sweden. ⟨hal-01984201⟩
105 Consultations
235 Téléchargements

Partager

Gmail Facebook X LinkedIn More